Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.7s (76%)

Results

2.3s	4100×	body	1024	valid
757.0ms	2115×	body	512	valid
319.0ms	433×	body	2048	valid
245.0ms	1020×	body	256	valid
67.0ms	588×	body	128	valid

preprocess72.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1088×	`fma-neg_binary64`
868×	`fma-def_binary64`
300×	`associate--r-_binary64`
263×	`distribute-rgt-in_binary64`
260×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	10
2	28	10
3	41	10
4	71	10
5	103	10
6	157	10
7	290	10
8	601	10
9	1032	10
10	1439	10
11	1983	10
12	2715	10
13	3801	10
14	4636	10
15	4734	10
16	4766	10
17	4766	10
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1088×	`fma-neg_binary64`
868×	`fma-def_binary64`
300×	`associate--r-_binary64`
263×	`distribute-rgt-in_binary64`
260×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	10
2	28	10
3	41	10
4	71	10
5	103	10
6	157	10
7	290	10
8	601	10
9	1032	10
10	1439	10
11	1983	10
12	2715	10
13	3801	10
14	4636	10
15	4734	10
16	4766	10
17	4766	10

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.8b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms	eps	@	inf	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms	eps	@	-inf	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`pow1_binary64`
484×	`add-log-exp_binary64`
484×	`expm1-log1p-u_binary64`
482×	`log1p-expm1-u_binary64`
475×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	130	8
2	1862	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (.f64 (neg.f64 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))))

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
399×	`fma-neg_binary64`
310×	`associate-l_binary64`
259×	`sub-neg_binary64`
242×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	180
1	122	177
2	298	174
3	806	174
4	2151	174

Stop Event

1×	node limit

Counts

47 → 57

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(*.f64 -1 (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 eps)))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2 eps)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2 eps))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2 eps))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 -2 eps)))
(-.f64 (/.f64 -2 eps) (-.f64 (/.f64 2/3 (pow.f64 eps 3)) (log.f64 -1)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 eps)))
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps))
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (/.f64 -2 eps) (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2 eps) (log.f64 -1)))
(-.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(+.f64 (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2 eps) (log.f64 -1))) (/.f64 -2/5 (pow.f64 eps 5)))
(+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2/5 (pow.f64 eps 5)) (log.f64 -1)))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	4.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms	eps	@	inf	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
1.0ms	eps	@	-inf	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms	eps	@	inf	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0ms	eps	@	0	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`
75×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	153	20
2	2154	20

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (.f64 (log1p.f64 eps) (log1p.f64 eps)) (.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 eps)) (.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 eps) (-.f64 1 (.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 eps) (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 eps)) (*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 eps) (+.f64 (neg.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))))

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
502×	`times-frac_binary64`
462×	`fma-neg_binary64`
289×	`cancel-sign-sub-inv_binary64`
252×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	309
1	164	307
2	410	307
3	1135	301
4	3292	297

Stop Event

1×	node limit

Counts

90 → 94

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2) (.f64 -2/5 (pow.f64 eps 5)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2) (fma.f64 -2/5 (pow.f64 eps 5) (.f64 -2/7 (pow.f64 eps 7))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5)))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (/.f64 -2/5 (pow.f64 eps 5)))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 2 (*.f64 eps eps) (fma.f64 -2 eps 1))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (.f64 eps eps) 1) (.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1)))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps (fma.f64 -2 eps 2)) 1))
(fma.f64 (*.f64 eps eps) (fma.f64 -2 eps 2) (fma.f64 -2 eps 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))))
(+.f64 -1 (-.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 -1 (/.f64 -2 (*.f64 eps eps)))))
(+.f64 -1 (-.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (*.f64 eps eps)) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 1 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) -2) -1))

eval42.0ms (0.8%)

Compiler: Compiled 1908 to 1170 computations (38.7% saved)

prune32.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	7	153

Error

Counts

153 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.8b	(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
▶	0.5b	(*.f64 -2 eps)
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	0.1b	(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))
▶	0.1b	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	58.8b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶	58.8b	(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))

Compiler

Compiled 104 to 80 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -2/3 (pow.f64 eps 3))
✓	0.1b	(*.f64 -2/3 (pow.f64 eps 3))

series3.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(*.f64 -2/3 (pow.f64 eps 3))
1.0ms	eps	@	0	(*.f64 -2/3 (pow.f64 eps 3))
1.0ms	eps	@	inf	(*.f64 -2/3 (pow.f64 eps 3))

rewrite32.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
476×	`add-log-exp_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`
466×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1324	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize2.0ms (0%)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))
✓	0.0b	(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))
1.0ms	eps	@	0	(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))
0.0ms	eps	@	-inf	(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`pow1_binary64`
570×	`add-log-exp_binary64`
570×	`log1p-expm1-u_binary64`
570×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1569	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 -2/3 (*.f64 eps eps))) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -2/3 (*.f64 eps eps) -2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 -2/3 (*.f64 eps eps) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -2/3 (*.f64 eps eps) -2) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 -2/3 (*.f64 eps eps) -2))))))))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

732×	`sqr-pow_binary64`
441×	`associate-l_binary64`
362×	`unswap-sqr_binary64`
313×	`pow-sqr_binary64`
256×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	21	117
2	41	117
3	85	117
4	152	117
5	377	117
6	1219	117
7	1922	117
8	2009	117
9	2142	117
10	2300	117
11	2532	117
12	2854	117
13	3275	117
14	3775	117
15	4370	117

Stop Event

1×	node limit

Counts

28 → 20

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.3b	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
	0.0b	(/.f64 (+.f64 1 eps) (-.f64 1 eps))
✓	0.0b	(/.f64 (+.f64 1 eps) (-.f64 1 eps))
✓	4.3b	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
0.0ms	eps	@	inf	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
0.0ms	eps	@	inf	(/.f64 (+.f64 1 eps) (-.f64 1 eps))
0.0ms	eps	@	-inf	(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
0.0ms	eps	@	0	(/.f64 (+.f64 1 eps) (-.f64 1 eps))

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
76×	`add-sqr-sqrt_binary64`
74×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	151	20
2	2078	20

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))
(/.f64 (+.f64 1 eps) (-.f64 1 eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (log.f64 (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 eps) -1)) (log.f64 (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 (neg.f64 eps)) 3)) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)))) (+.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2) (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (cbrt.f64 (+.f64 1 eps)) (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 eps)) (*.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 eps) -1) (/.f64 1 (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 eps)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) 1) (/.f64 (sqrt.f64 (+.f64 1 eps)) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 eps))) (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (sqrt.f64 (-.f64 1 eps))) (/.f64 (cbrt.f64 (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 eps) (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))))

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

966×	`fma-neg_binary64`
716×	`fma-def_binary64`
633×	`times-frac_binary64`
171×	`associate-l_binary64`
145×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	319
1	159	307
2	443	305
3	1270	300
4	3634	296

Stop Event

1×	node limit

Counts

88 → 92

Calls

Call 1

Inputs
(*.f64 2 eps)
(+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3)))
(+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
(+.f64 (.f64 2/7 (pow.f64 eps 7)) (+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 2 eps) 1)
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))

Outputs
(*.f64 2 eps)
(+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3)))
(fma.f64 2 eps (*.f64 2/3 (pow.f64 eps 3)))
(fma.f64 2/3 (pow.f64 eps 3) (*.f64 2 eps))
(+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
(fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))))
(fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 eps (.f64 eps 2/3) 2) (.f64 2/5 (pow.f64 eps 5)))
(+.f64 (.f64 2/7 (pow.f64 eps 7)) (+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))
(fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
1
(+.f64 (*.f64 2 eps) 1)
(fma.f64 2 eps 1)
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 2 (*.f64 (+.f64 eps 1) eps) 1)
(fma.f64 2 (fma.f64 eps eps eps) 1)
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)))
(fma.f64 2 eps (fma.f64 2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1)))
(fma.f64 2 (pow.f64 eps 3) (fma.f64 2 (*.f64 (+.f64 eps 1) eps) 1))
(fma.f64 2 (+.f64 (pow.f64 eps 3) (fma.f64 eps eps eps)) 1)
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(+.f64 (neg.f64 (/.f64 2 eps)) -1)
(+.f64 -1 (/.f64 -2 eps))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (/.f64 -2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (-.f64 -2 (/.f64 2 eps)) -1))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(+.f64 (neg.f64 (/.f64 2 eps)) -1)
(+.f64 -1 (/.f64 -2 eps))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps))) (/.f64 -2 (pow.f64 eps 3)))
(+.f64 (/.f64 -2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (-.f64 -2 (/.f64 2 eps)) -1))

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.3b	(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
	0.0b	(/.f64 1 (+.f64 1 eps))
	0.0b	(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
✓	0.0b	(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
✓	0.0b	(/.f64 1 (+.f64 1 eps))
✓	4.3b	(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(/.f64 1 (+.f64 1 eps))
0.0ms	eps	@	0	(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
0.0ms	eps	@	-inf	(/.f64 1 (+.f64 1 eps))
0.0ms	eps	@	0	(/.f64 1 (+.f64 1 eps))
0.0ms	eps	@	inf	(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`
82×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	172	27
2	2301	27

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(/.f64 1 (+.f64 1 eps))
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1) (*.f64 (log1p.f64 (neg.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 eps)) 3) (pow.f64 (log1p.f64 (neg.f64 eps)) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)))) (-.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 eps))) (cbrt.f64 (pow.f64 (+.f64 1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 eps) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 eps) -1/2) (pow.f64 (+.f64 1 eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 eps)) -1) (pow.f64 (sqrt.f64 (+.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 eps) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (neg.f64 eps) (/.f64 1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 eps) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps 3)) (*.f64 (+.f64 1 eps) (+.f64 1 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (+.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 1 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) 1) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) 1) (pow.f64 (+.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) -1) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) -1) (*.f64 (+.f64 1 eps) (+.f64 -1 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) 1) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 eps) -1) (+.f64 -1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 eps)) 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (/.f64 1 (+.f64 1 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))))

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-def_binary64`
720×	`times-frac_binary64`
243×	`associate-l_binary64`
229×	`fma-neg_binary64`
194×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	487
1	210	474
2	551	474
3	1586	468
4	4910	468

Stop Event

1×	node limit

Counts

128 → 133

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps)))
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (.f64 -1 eps) (.f64 -1 (pow.f64 eps 3)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7)))))
(fma.f64 -2/7 (pow.f64 eps 7) (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 1 (neg.f64 eps))
(-.f64 1 eps)
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps)))
(+.f64 (+.f64 1 (neg.f64 eps)) (*.f64 eps eps))
(fma.f64 eps eps (-.f64 1 eps))
(-.f64 (fma.f64 eps eps 1) eps)
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (.f64 -1 eps) (.f64 -1 (pow.f64 eps 3)))))
(+.f64 (+.f64 (*.f64 eps eps) 1) (fma.f64 -1 eps (neg.f64 (pow.f64 eps 3))))
(fma.f64 eps eps (-.f64 (-.f64 1 eps) (pow.f64 eps 3)))
(-.f64 (-.f64 (fma.f64 eps eps 1) (pow.f64 eps 3)) eps)
(-.f64 (-.f64 (fma.f64 eps eps 1) eps) (pow.f64 eps 3))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps)))
(-.f64 (/.f64 1 eps) (/.f64 (/.f64 1 eps) eps))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 (/.f64 1 eps) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps))) (/.f64 -1 (pow.f64 eps 4))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 (/.f64 1 eps) eps) (/.f64 1 (pow.f64 eps 4)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps)))
(+.f64 (/.f64 1 eps) (/.f64 -1 (*.f64 eps eps)))
(-.f64 (/.f64 1 eps) (/.f64 (/.f64 1 eps) eps))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 -1 (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 (/.f64 1 eps) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (*.f64 eps eps)) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps))) (/.f64 -1 (pow.f64 eps 4))))
(+.f64 (/.f64 1 (pow.f64 eps 3)) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 (/.f64 1 eps) eps) (/.f64 1 (pow.f64 eps 4)))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 eps (*.f64 eps 2) (fma.f64 -2 eps 1))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (.f64 eps eps) 1) (.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (fma.f64 eps 2 -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 -2 eps) eps)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (/.f64 (/.f64 -2 eps) eps))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 -2 eps) eps)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 (/.f64 2 eps) (+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 -1 (/.f64 (/.f64 -2 eps) eps))))

eval74.0ms (1.5%)

Compiler: Compiled 3318 to 2293 computations (30.9% saved)

prune53.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	256	7	263

Error

Counts

263 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.8b	(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
✓	0.5b	(*.f64 -2 eps)
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	0.1b	(+.f64 (.f64 (.f64 -2/3 (.f64 eps eps)) eps) (.f64 -2 eps))
✓	58.8b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶	58.8b	(neg.f64 (log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))))
✓	58.8b	(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.3b	(log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps))))
	0.0b	(*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))
	0.0b	(/.f64 1 (-.f64 1 eps))
✓	0.0b	(/.f64 1 (-.f64 1 eps))
✓	0.0b	(*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))
✓	4.3b	(log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps))))

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps))))
0.0ms	eps	@	inf	(/.f64 1 (-.f64 1 eps))
0.0ms	eps	@	0	(/.f64 1 (-.f64 1 eps))
0.0ms	eps	@	inf	(log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps))))
0.0ms	eps	@	-inf	(/.f64 1 (-.f64 1 eps))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
83×	`*-un-lft-identity_binary64`
83×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	174	27
2	2343	27

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps))))
(*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))
(/.f64 1 (-.f64 1 eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (neg.f64 eps))) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 eps) 1) (*.f64 (neg.f64 (log1p.f64 (neg.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 (neg.f64 eps))) 3)) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 (neg.f64 eps)))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (neg.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 (neg.f64 eps))))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 eps)) (*.f64 eps (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 eps)) (*.f64 (/.f64 1 (-.f64 1 eps)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (/.f64 1 (-.f64 1 eps))) (/.f64 1 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 eps)) eps) (/.f64 1 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 eps) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 eps)) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps 3)) (*.f64 (-.f64 1 eps) (+.f64 1 (-.f64 (*.f64 eps eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (-.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 eps)) (neg.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) 1) (*.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) 1) (pow.f64 (-.f64 1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) -1) (*.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)) (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) -1) (*.f64 (-.f64 1 eps) (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 (pow.f64 eps 3))) (*.f64 (neg.f64 (-.f64 1 eps)) (+.f64 1 (-.f64 (*.f64 eps eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 1 eps)) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 eps) 1) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 eps) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (-.f64 1 eps))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 eps)) (neg.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 eps) -1) (neg.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 eps)) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 eps)) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 (/.f64 1 (-.f64 1 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 eps)) 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.f64 1 eps))) (cbrt.f64 (pow.f64 (-.f64 1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 eps) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 eps) -1/2) (pow.f64 (-.f64 1 eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 eps)) -1) (pow.f64 (sqrt.f64 (-.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 eps) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 eps))))))))

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
368×	`sub-neg_binary64`
194×	`associate-l_binary64`
189×	`fma-neg_binary64`
179×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	502
1	211	474
2	604	468
3	1742	463
4	4799	463

Stop Event

1×	node limit

Counts

129 → 133

Calls

Call 1

Inputs
(*.f64 2 eps)
(+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3)))
(+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
(+.f64 (.f64 2/7 (pow.f64 eps 7)) (+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 2 eps) 1)
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
1
(+.f64 eps 1)
(+.f64 eps (+.f64 (pow.f64 eps 2) 1))
(+.f64 eps (+.f64 (pow.f64 eps 2) (+.f64 1 (pow.f64 eps 3))))
(/.f64 -1 eps)
(neg.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3)))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3))))))
(/.f64 -1 eps)
(neg.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3)))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3))))))

Outputs
(*.f64 2 eps)
(+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3)))
(fma.f64 2 eps (*.f64 2/3 (pow.f64 eps 3)))
(fma.f64 2/3 (pow.f64 eps 3) (*.f64 2 eps))
(+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
(fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))))
(fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))))
(fma.f64 2/3 (pow.f64 eps 3) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2 eps)))
(fma.f64 eps (fma.f64 eps (.f64 eps 2/3) 2) (.f64 2/5 (pow.f64 eps 5)))
(+.f64 (.f64 2/7 (pow.f64 eps 7)) (+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2/3 (pow.f64 eps 3) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2 eps))))
(fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))
(+.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 eps))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))))
1
(+.f64 (*.f64 2 eps) 1)
(fma.f64 2 eps 1)
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 2 (fma.f64 eps eps eps) 1)
(+.f64 (.f64 2 eps) (+.f64 (.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)))
(fma.f64 2 eps (fma.f64 2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1)))
(fma.f64 2 eps (fma.f64 2 (*.f64 eps (fma.f64 eps eps eps)) 1))
(fma.f64 2 (fma.f64 eps (fma.f64 eps eps eps) eps) 1)
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(+.f64 (neg.f64 (/.f64 2 eps)) -1)
(+.f64 -1 (/.f64 -2 eps))
(-.f64 (/.f64 -2 eps) 1)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 -2 eps) (-.f64 (/.f64 (/.f64 -2 eps) eps) 1))
(+.f64 (-.f64 (/.f64 -2 eps) 1) (/.f64 (/.f64 -2 eps) eps))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))))
(-.f64 (/.f64 -2 (pow.f64 eps 3)) (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (/.f64 -2 eps) (-.f64 (/.f64 (/.f64 -2 eps) eps) (+.f64 1 (/.f64 2 (pow.f64 eps 3)))))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(+.f64 (neg.f64 (/.f64 2 eps)) -1)
(+.f64 -1 (/.f64 -2 eps))
(-.f64 (/.f64 -2 eps) 1)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 -2 eps) (-.f64 (/.f64 (/.f64 -2 eps) eps) 1))
(+.f64 (-.f64 (/.f64 -2 eps) 1) (/.f64 (/.f64 -2 eps) eps))
(+.f64 -1 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))) (/.f64 2 (pow.f64 eps 3))))
(-.f64 (/.f64 -2 (pow.f64 eps 3)) (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -2 eps) (/.f64 (/.f64 -2 eps) eps)) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (/.f64 -2 eps) (-.f64 (/.f64 (/.f64 -2 eps) eps) (+.f64 1 (/.f64 2 (pow.f64 eps 3)))))
1
(+.f64 eps 1)
(+.f64 eps (+.f64 (pow.f64 eps 2) 1))
(+.f64 eps (+.f64 1 (*.f64 eps eps)))
(+.f64 eps (fma.f64 eps eps 1))
(+.f64 eps (+.f64 (pow.f64 eps 2) (+.f64 1 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (*.f64 eps eps) (+.f64 (pow.f64 eps 3) 1)))
(+.f64 (+.f64 eps (fma.f64 eps eps 1)) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (+.f64 eps (fma.f64 eps eps 1)))
(+.f64 1 (fma.f64 eps (fma.f64 eps eps eps) eps))
(fma.f64 eps (fma.f64 eps eps eps) (+.f64 eps 1))
(/.f64 -1 eps)
(neg.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 -1 eps) (/.f64 -1 (*.f64 eps eps)))
(-.f64 (/.f64 -1 eps) (/.f64 (/.f64 1 eps) eps))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3)))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))))
(-.f64 (+.f64 (/.f64 -1 eps) (/.f64 -1 (*.f64 eps eps))) (/.f64 1 (pow.f64 eps 3)))
(+.f64 (-.f64 (/.f64 -1 eps) (/.f64 (/.f64 1 eps) eps)) (/.f64 -1 (pow.f64 eps 3)))
(+.f64 (/.f64 -1 eps) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 3))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3))))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (*.f64 eps eps))) (/.f64 1 (pow.f64 eps 3)))))
(-.f64 (/.f64 -1 eps) (+.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 -1 eps) (-.f64 (/.f64 -1 (pow.f64 eps 3)) (+.f64 (/.f64 (/.f64 1 eps) eps) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 -1 eps) (+.f64 (/.f64 -1 (*.f64 eps eps)) (+.f64 (/.f64 -1 (pow.f64 eps 3)) (/.f64 -1 (pow.f64 eps 4)))))
(/.f64 -1 eps)
(neg.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2))))
(neg.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 -1 eps) (/.f64 -1 (*.f64 eps eps)))
(-.f64 (/.f64 -1 eps) (/.f64 (/.f64 1 eps) eps))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3)))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))))
(-.f64 (+.f64 (/.f64 -1 eps) (/.f64 -1 (*.f64 eps eps))) (/.f64 1 (pow.f64 eps 3)))
(+.f64 (-.f64 (/.f64 -1 eps) (/.f64 (/.f64 1 eps) eps)) (/.f64 -1 (pow.f64 eps 3)))
(+.f64 (/.f64 -1 eps) (+.f64 (/.f64 -1 (*.f64 eps eps)) (/.f64 -1 (pow.f64 eps 3))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (/.f64 1 (pow.f64 eps 4)) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 3))))))
(neg.f64 (+.f64 (/.f64 1 eps) (+.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (*.f64 eps eps))) (/.f64 1 (pow.f64 eps 3)))))
(-.f64 (/.f64 -1 eps) (+.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (*.f64 eps eps))))
(+.f64 (/.f64 -1 eps) (-.f64 (/.f64 -1 (pow.f64 eps 3)) (+.f64 (/.f64 (/.f64 1 eps) eps) (/.f64 1 (pow.f64 eps 4)))))
(+.f64 (/.f64 -1 eps) (+.f64 (/.f64 -1 (*.f64 eps eps)) (+.f64 (/.f64 -1 (pow.f64 eps 3)) (/.f64 -1 (pow.f64 eps 4)))))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 -2/3 (.f64 eps eps))
	0.1b	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
✓	0.1b	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
✓	0.2b	(.f64 -2/3 (.f64 eps eps))

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(.f64 -2/3 (.f64 eps eps))
0.0ms	eps	@	0	(.f64 -2/3 (.f64 eps eps))
0.0ms	eps	@	-inf	(.f64 -2/3 (.f64 eps eps))
0.0ms	eps	@	0	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
0.0ms	eps	@	-inf	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
495×	`add-log-exp_binary64`
495×	`log1p-expm1-u_binary64`
495×	`expm1-log1p-u_binary64`
484×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	123	14
2	1419	14

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs
(.f64 -2/3 (.f64 eps eps))
(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (*.f64 eps eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -2/3) eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 (pow.f64 eps 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 (*.f64 eps eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

674×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
390×	`associate-l_binary64`
330×	`*-commutative_binary64`
279×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	168
1	23	168
2	48	168
3	105	168
4	274	168
5	1141	168
6	2295	168
7	2461	168
8	2711	168
9	2998	168
10	3377	168
11	3871	168
12	4476	168

Stop Event

1×	node limit

Counts

47 → 26

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))

Outputs
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))

eval48.0ms (1%)

Compiler: Compiled 2203 to 1564 computations (29% saved)

prune28.0ms (0.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	159	7	166

Error

Counts

166 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.8b	(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
✓	0.5b	(*.f64 -2 eps)
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	0.1b	(+.f64 (.f64 (.f64 -2/3 (.f64 eps eps)) eps) (.f64 -2 eps))
✓	58.8b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
✓	58.8b	(neg.f64 (log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))))
✓	58.8b	(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))

Compiler

Compiled 65 to 50 computations (23.1% saved)

regimes15.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 (.f64 -2/3 (.f64 eps eps)) eps) (.f64 -2 eps))
(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(neg.f64 (log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Results

Time	Error	Segments	Branch
5.0ms	0.0b	1	`eps`
2.0ms	0.0b	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
2.0ms	0.0b	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 95 to 69 computations (27.4% saved)

regimes13.0ms (0.3%)

Accuracy

Total -59.0b remaining (-40883.8%)

Threshold costs -59.0b (-40883.8%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 (.f64 -2/3 (.f64 eps eps)) eps) (.f64 -2 eps))
(.f64 eps (fma.f64 -2/3 (.f64 eps eps) -2))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps))))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps)))
(neg.f64 (log.f64 (*.f64 (+.f64 1 eps) (/.f64 1 (-.f64 1 eps)))))

Outputs
(+.f64 (.f64 (.f64 -2/3 (.f64 eps eps)) eps) (.f64 -2 eps))

Results

Time	Error	Segments	Branch
6.0ms	0.1b	1	`eps`
2.0ms	0.1b	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
2.0ms	0.1b	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 89 to 65 computations (27% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	23	30
2	28	30
3	31	30
4	32	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (.f64 (.f64 -2/3 (.f64 eps eps)) eps) (.f64 -2 eps))
(*.f64 -2 eps)

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (.f64 (.f64 -2/3 (.f64 eps eps)) eps) (.f64 -2 eps))
(+.f64 (.f64 eps (.f64 -2/3 (.f64 eps eps))) (.f64 eps -2))
(*.f64 -2 eps)
(*.f64 eps -2)

end25.0ms (0.5%)

Stop Event

1×

done

Compiler

Compiled 44 to 30 computations (31.8% saved)

Details

analyze6.0ms (0.1%)

sample3.7s (76%)

preprocess72.0ms (1.5%)

simplify62.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite34.0ms (0.7%)

simplify34.0ms (0.7%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify31.0ms (0.6%)

eval42.0ms (0.8%)

prune32.0ms (0.7%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite32.0ms (0.7%)

simplify6.0ms (0.1%)

localize2.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite34.0ms (0.7%)

simplify66.0ms (1.3%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify33.0ms (0.7%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite50.0ms (1%)

simplify43.0ms (0.9%)

eval74.0ms (1.5%)

prune53.0ms (1.1%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite50.0ms (1%)

simplify40.0ms (0.8%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite34.0ms (0.7%)

simplify64.0ms (1.3%)

eval48.0ms (1%)

prune28.0ms (0.6%)

regimes15.0ms (0.3%)

regimes13.0ms (0.3%)

simplify2.0ms (0.1%)

end25.0ms (0.5%)

Profiling