Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample723.0ms (20.1%)

Results

710.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

preprocess26.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

271×	`fma-def_binary64`
256×	`fma-neg_binary64`
75×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	65	11
3	147	11
4	291	9
5	486	9
6	718	9
7	1049	9
8	1166	9
9	1185	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

271×	`fma-def_binary64`
256×	`fma-neg_binary64`
75×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	65	11
3	147	11
4	291	9
5	486	9
6	718	9
7	1049	9
8	1166	9
9	1185	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

eval1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
✓	0.1b	(fma.f64 x -3/25 -253/1000)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 x -3/25 -253/1000)
0.0ms	x	@	inf	(fma.f64 x -3/25 -253/1000)
0.0ms	x	@	0	(fma.f64 x -3/25 -253/1000)
0.0ms	x	@	0	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
543×	`add-log-exp_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
534×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	136	14
2	1416	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 x -3/25 -253/1000)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify67.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

530×	`associate-l_binary64`
494×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
370×	`sqr-pow_binary64`
310×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	182
1	34	168
2	56	156
3	88	144
4	196	144
5	538	144
6	1734	144
7	3068	144
8	3274	144
9	3487	144
10	3707	144
11	4016	144
12	4416	144
13	4924	144

Stop Event

1×	node limit

Counts

66 → 55

Calls

Call 1

Inputs
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))

Outputs
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(*.f64 x (fma.f64 -3/25 x -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(*.f64 x (fma.f64 -3/25 x -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)

eval18.0ms (0.5%)

Compiler: Compiled 585 to 457 computations (21.9% saved)

prune77.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Error

0.0b

Counts

56 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	5.8b	(fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000)))) 1)
▶	0.1b	(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
	53.1b	(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	0.4b	(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
	0.4b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)

Compiler

Compiled 204 to 166 computations (18.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
✓	0.0b	(*.f64 -253/1000 x)
✓	0.2b	(*.f64 -3/25 (pow.f64 x 2))

series4.0ms (0.1%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -3/25 (pow.f64 x 2))
1.0ms	x	@	inf	(*.f64 -3/25 (pow.f64 x 2))
1.0ms	x	@	-inf	(*.f64 -253/1000 x)
0.0ms	x	@	inf	(*.f64 -253/1000 x)
0.0ms	x	@	0	(*.f64 -253/1000 x)

rewrite56.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`fma-def_binary64`
461×	`log-prod_binary64`
249×	`fma-neg_binary64`
192×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	241	23
2	2992	23

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -253/1000 x)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -3/25) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -3/25 (.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -3/25 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -3/25 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 -3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -27/15625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/25) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -3/25 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -27/15625))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -3/25 (.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -3/25))) (hypot.f64 1 (.f64 x (sqrt.f64 -3/25))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -3/25 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -3/25 (.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/1000)) (cbrt.f64 (pow.f64 (exp.f64 x) -253/1000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -253/1000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x -253/1000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -16194277/1000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) -16194277/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -253/1000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -253/1000 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x -253/1000 1)) (pow.f64 (cbrt.f64 (fma.f64 x -253/1000 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -253/1000 1)) 2) (cbrt.f64 (fma.f64 x -253/1000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -253/1000 1)) (sqrt.f64 (fma.f64 x -253/1000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) -16194277/1000000000 1) (/.f64 1 (fma.f64 (.f64 x -253/1000) (fma.f64 x -253/1000 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 (.f64 x x) 64009/1000000)) (/.f64 1 (+.f64 1 (.f64 253/1000 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (*.f64 x -253/1000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 4) 9/625) (-.f64 (fma.f64 -3/25 (.f64 x x) -1) (.f64 x -253/1000))) (/.f64 (pow.f64 (fma.f64 x -253/1000 1) 2) (-.f64 (fma.f64 -3/25 (.f64 x x) -1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))) (sqrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (.f64 x x) 3) -27/15625 (pow.f64 (fma.f64 x -253/1000 1) 3)) (/.f64 1 (fma.f64 (fma.f64 x -253/1000 1) (-.f64 (fma.f64 x -253/1000 1) (.f64 -3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 4) 9/625) (pow.f64 (fma.f64 x -253/1000 1) 2)) (/.f64 1 (-.f64 (fma.f64 -3/25 (.f64 x x) -1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 x -253/1000 1) (-.f64 (fma.f64 x -253/1000 1) (.f64 -3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625)) (fma.f64 (pow.f64 (.f64 x x) 3) -27/15625 (pow.f64 (fma.f64 x -253/1000 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 -3/25 (.f64 x x) -1) (.f64 x -253/1000)) (-.f64 (.f64 (pow.f64 x 4) 9/625) (pow.f64 (fma.f64 x -253/1000 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 x x) 3) -27/15625 (pow.f64 (fma.f64 x -253/1000 1) 3)) (fma.f64 (fma.f64 x -253/1000 1) (-.f64 (fma.f64 x -253/1000 1) (.f64 -3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 x x) 3) -27/15625 (pow.f64 (fma.f64 x -253/1000 1) 3)) (+.f64 (pow.f64 (fma.f64 x -253/1000 1) 2) (-.f64 (.f64 (pow.f64 x 4) 9/625) (.f64 -3/25 (.f64 (.f64 x x) (fma.f64 x -253/1000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 4) 9/625) (pow.f64 (fma.f64 x -253/1000 1) 2)) (-.f64 (fma.f64 -3/25 (.f64 x x) -1) (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) -27/15625 (pow.f64 (fma.f64 x -253/1000 1) 3))) (neg.f64 (fma.f64 (fma.f64 x -253/1000 1) (-.f64 (fma.f64 x -253/1000 1) (.f64 -3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 9/625) (pow.f64 (fma.f64 x -253/1000 1) 2))) (neg.f64 (-.f64 (fma.f64 -3/25 (.f64 x x) -1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 3) (.f64 (pow.f64 x 3) -16194277/1000000000)) (fma.f64 (fma.f64 -3/25 (.f64 x x) 1) (fma.f64 -3/25 (.f64 x x) 1) (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x -253/1000 1) 2) (.f64 (pow.f64 x 4) 9/625)) (-.f64 (fma.f64 x -253/1000 1) (.f64 -3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (fma.f64 -3/25 (.f64 x x) 1) (fma.f64 -3/25 (.f64 x x) 1)) (.f64 (.f64 x x) 64009/1000000)) (-.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -3/25 (.f64 x x)))) (exp.f64 (fma.f64 x -253/1000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 -3/25) (.f64 x x)) (+.f64 1 (expm1.f64 (fma.f64 x -253/1000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 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Outputs

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9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 9/625) (pow.f64 (fma.f64 x -253/1000 1) 2))) (neg.f64 (-.f64 (fma.f64 -3/25 (*.f64 x x) -1) (*.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -3/25 (*.f64 x x) 1) 3) (*.f64 (pow.f64 x 3) -16194277/1000000000)) (fma.f64 (fma.f64 -3/25 (*.f64 x x) 1) (fma.f64 -3/25 (*.f64 x x) 1) (-.f64 (*.f64 (*.f64 x x) 64009/1000000) (*.f64 (fma.f64 -3/25 (*.f64 x x) 1) (*.f64 x -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x -253/1000 1) 2) (*.f64 (pow.f64 x 4) 9/625)) (-.f64 (fma.f64 x -253/1000 1) (*.f64 -3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -3/25 (*.f64 x x) 1) (fma.f64 -3/25 (*.f64 x x) 1)) (*.f64 (*.f64 x x) 64009/1000000)) (-.f64 (fma.f64 -3/25 (*.f64 x x) 1) (*.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3/25 (*.f64 x x)))) (exp.f64 (fma.f64 x -253/1000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)) (+.f64 1 (expm1.f64 (fma.f64 x -253/1000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3/25 (*.f64 x x)))) (+.f64 1 (expm1.f64 (fma.f64 x -253/1000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) -253/1000) (exp.f64 (fma.f64 -3/25 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -253/1000))) (exp.f64 (fma.f64 -3/25 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x -253/1000 1))) (pow.f64 (exp.f64 -3/25) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x -253/1000 1)) (+.f64 1 (expm1.f64 (*.f64 -3/25 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x -253/1000 1))) (+.f64 1 (expm1.f64 (*.f64 -3/25 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -3/25 (*.f64 x x) 1)) (+.f64 1 (expm1.f64 (*.f64 x -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/25 (*.f64 x x) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -3/25) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/25 (*.f64 x x)) 1 (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -253/1000 x (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -253/1000) 1 (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3/25 (*.f64 x x)) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -253/1000) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -253/1000 1) (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -3/25 (*.f64 x x) 1) (*.f64 x -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -253/1000 1) 1 (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -253/1000)) (cbrt.f64 (*.f64 (*.f64 x x) 64009/1000000)) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 64009/1000000)) (cbrt.f64 (*.f64 x -253/1000)) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -253/1000) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -3/25) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -3/25 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 9/625)) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9/625)) (cbrt.f64 (*.f64 -3/25 (*.f64 x x))) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x -253/1000 1)) (pow.f64 (cbrt.f64 (fma.f64 x -253/1000 1)) 2) (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -253/1000 1)) 2) (cbrt.f64 (fma.f64 x -253/1000 1)) (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -253/1000)) (sqrt.f64 (*.f64 x -253/1000)) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -3/25)) (*.f64 x (sqrt.f64 -3/25)) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -253/1000) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -253/1000 1)) (sqrt.f64 (fma.f64 x -253/1000 1)) (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) -16194277/1000000000 1) (/.f64 1 (fma.f64 (*.f64 x -253/1000) (fma.f64 x -253/1000 -1) 1)) (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (*.f64 x x) 64009/1000000)) (/.f64 1 (+.f64 1 (*.f64 253/1000 x))) (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -3/25 (*.f64 x x) 1) 1 (*.f64 x -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1)) (*.f64 x -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -3/25))) (hypot.f64 1 (*.f64 x (sqrt.f64 -3/25))) (*.f64 x -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -253/1000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -253/1000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -3/25 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/25 x) x (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/25 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -253/1000 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 x -253/1000 (*.f64 -3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 x -253/1000 (*.f64 -3/25 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -253/1000 (fma.f64 -3/25 (*.f64 x x) 1))))))))

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
384×	`fma-def_binary64`
370×	`sqr-pow_binary64`
325×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	22	42
2	36	40
3	72	36
4	172	36
5	492	36
6	1694	36
7	2959	36
8	3163	36
9	3377	36
10	3597	36
11	3903	36
12	4305	36
13	4815	36

Stop Event

1×	node limit

Counts

122 → 123

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))

Outputs
1
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 -253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 -253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))

eval47.0ms (1.3%)

Compiler: Compiled 1993 to 1431 computations (28.2% saved)

prune342.0ms (9.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Error

0.0b

Counts

130 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	5.8b	(fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000)))) 1)
✓	0.1b	(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
	53.1b	(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
▶	0.4b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
	0.4b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)

Compiler

Compiled 206 to 160 computations (22.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 -3/25 (*.f64 x x) 1)
✓	0.1b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
✓	0.1b	(.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1)))
✓	0.2b	(cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1))

series7.0ms (0.2%)

Counts

4 → 26

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1))
1.0ms	x	@	inf	(cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1))
1.0ms	x	@	0	(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
1.0ms	x	@	inf	(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
1.0ms	x	@	inf	(.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1)))

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`
93×	`add-cbrt-cube_binary64`
93×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	213	45
2	2243	45

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1))
(.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
(fma.f64 -3/25 (*.f64 x x) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 1/6) (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -3/25 (.f64 x x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (*.f64 x x) 1)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -253/1000) (fma.f64 -3/25 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3/25 (.f64 x x)) (+.f64 1 (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))) 2) (cbrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))) (sqrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 3) (pow.f64 (.f64 x -253/1000) 3)) (+.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 2) (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 2) (.f64 (.f64 x x) 64009/1000000)) (-.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 -3/25 (.f64 x x) 1) (.f64 x -253/1000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 -3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3/25 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -3/25 (.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3/25 (.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -3/25 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -3/25 (.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (sqrt.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2) (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 1/6)) (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 -3/25 (.f64 x x)) 3) 1) (+.f64 (.f64 (.f64 -3/25 (.f64 x x)) (.f64 -3/25 (.f64 x x))) (-.f64 1 (.f64 (.f64 -3/25 (.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 -3/25 (.f64 x x)) (.f64 -3/25 (.f64 x x))) 1) (-.f64 (.f64 -3/25 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3/25 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3/25 (.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -3/25 (.f64 x x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3/25 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3/25 (.f64 x x) 1)))))))

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

660×	`distribute-lft-out_binary64`
430×	`fma-def_binary64`
326×	`distribute-rgt-out_binary64`
310×	`*-commutative_binary64`
287×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	235
1	77	225
2	182	217
3	541	211
4	1920	211
5	3521	211
6	4368	211
7	4826	211

Stop Event

1×	node limit

Counts

113 → 110

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/25 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/25 (pow.f64 x 2)) (.f64 -1/625 (pow.f64 x 4))))
(+.f64 (.f64 -1/9375 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1/25 (pow.f64 x 2)) (*.f64 -1/625 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -2/25 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -2/25 (pow.f64 x 2)) (.f64 -1/625 (pow.f64 x 4))))
(+.f64 (.f64 -4/46875 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -2/25 (pow.f64 x 2)) (*.f64 -1/625 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -253/1000 x)
(*.f64 -253/1000 x)
1
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)

Outputs
1
(+.f64 1 (*.f64 -1/25 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/25 (.f64 x x)))
(fma.f64 -1/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/25 x) 1)
(+.f64 1 (+.f64 (.f64 -1/25 (pow.f64 x 2)) (.f64 -1/625 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/25 (.f64 x x) (.f64 -1/625 (pow.f64 x 4))))
(fma.f64 -1/25 (*.f64 x x) (fma.f64 -1/625 (pow.f64 x 4) 1))
(+.f64 (.f64 -1/9375 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1/25 (pow.f64 x 2)) (*.f64 -1/625 (pow.f64 x 4)))))
(fma.f64 -1/9375 (pow.f64 x 6) (+.f64 1 (fma.f64 -1/25 (.f64 x x) (.f64 -1/625 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/25 (.f64 x x) (.f64 -1/625 (pow.f64 x 4))) (fma.f64 -1/9375 (pow.f64 x 6) 1))
(fma.f64 -1/9375 (pow.f64 x 6) (fma.f64 -1/25 (*.f64 x x) (fma.f64 -1/625 (pow.f64 x 4) 1)))
(fma.f64 -1/25 (*.f64 x x) (fma.f64 -1/625 (pow.f64 x 4) (fma.f64 -1/9375 (pow.f64 x 6) 1)))
1
(+.f64 1 (*.f64 -2/25 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -2/25))
(fma.f64 (*.f64 x x) -2/25 1)
(+.f64 1 (+.f64 (.f64 -2/25 (pow.f64 x 2)) (.f64 -1/625 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -2/25 (.f64 x x) (.f64 -1/625 (pow.f64 x 4))))
(+.f64 1 (fma.f64 (.f64 x x) -2/25 (.f64 -1/625 (pow.f64 x 4))))
(fma.f64 (*.f64 x x) -2/25 (fma.f64 -1/625 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x -2/25) (fma.f64 -1/625 (pow.f64 x 4) 1))
(+.f64 (.f64 -4/46875 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -2/25 (pow.f64 x 2)) (*.f64 -1/625 (pow.f64 x 4)))))
(fma.f64 -4/46875 (pow.f64 x 6) (+.f64 1 (fma.f64 -2/25 (.f64 x x) (.f64 -1/625 (pow.f64 x 4)))))
(+.f64 (fma.f64 (.f64 x x) -2/25 (.f64 -1/625 (pow.f64 x 4))) (fma.f64 (pow.f64 x 6) -4/46875 1))
(fma.f64 (pow.f64 x 6) -4/46875 (fma.f64 (*.f64 x x) -2/25 (fma.f64 -1/625 (pow.f64 x 4) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/625 -2/25) (fma.f64 (pow.f64 x 6) -4/46875 1))
(fma.f64 x (*.f64 x -2/25) (fma.f64 -1/625 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/46875 1)))
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 1 (*.f64 x -253/1000))
(fma.f64 x -253/1000 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 (*.f64 x x) -3/25 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 (*.f64 x x) -3/25 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -253/1000 x)
(*.f64 x -253/1000)
(*.f64 -253/1000 x)
(*.f64 x -253/1000)
1
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)

eval144.0ms (4%)

Compiler: Compiled 6495 to 4279 computations (34.1% saved)

prune1.3s (35.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	230	7	237

Error

0.0b

Counts

237 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	5.8b	(fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000)))) 1)
✓	0.1b	(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
	53.1b	(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
✓	0.4b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
▶	0.4b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)

Compiler

Compiled 179 to 142 computations (20.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))
	0.1b	(fma.f64 x -3/25 -253/1000)
✓	0.2b	(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)
✓	0.8b	(cbrt.f64 (fma.f64 x -3/25 -253/1000))

series7.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (fma.f64 x -3/25 -253/1000))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)
0.0ms	x	@	inf	(cbrt.f64 (fma.f64 x -3/25 -253/1000))

rewrite44.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`pow1_binary64`
610×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	188	22
2	1726	22

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 x -3/25 -253/1000))
(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3/25 -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

776×	`associate-l_binary64`
655×	`associate-r_binary64`
492×	`times-frac_binary64`
272×	`associate-/l*_binary64`
207×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	276
1	147	276
2	388	269
3	1433	269

Stop Event

1×	node limit

Counts

76 → 74

Calls

Call 1

Inputs
(cbrt.f64 -253/1000)
(+.f64 (.f64 -1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))
(+.f64 (.f64 -1/625 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 -1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000)))
(+.f64 (.f64 -1/625 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 -1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4))) (+.f64 (.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))))
(pow.f64 (cbrt.f64 -253/1000) 2)
(+.f64 (.f64 -2/25 (.f64 (pow.f64 (cbrt.f64 -253/1000) 1/3) x)) (pow.f64 (cbrt.f64 -253/1000) 2))
(+.f64 (.f64 (+.f64 (.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3))) (pow.f64 x 2)) (+.f64 (.f64 -2/25 (*.f64 (pow.f64 (cbrt.f64 -253/1000) 1/3) x)) (pow.f64 (cbrt.f64 -253/1000) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3))) (pow.f64 x 2)) (+.f64 (.f64 -2/25 (.f64 (pow.f64 (cbrt.f64 -253/1000) 1/3) x)) (+.f64 (.f64 32/94875 (pow.f64 x 3)) (pow.f64 (cbrt.f64 -253/1000) 2))))
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)

Outputs
(cbrt.f64 -253/1000)
(+.f64 (.f64 -1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))
(fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (cbrt.f64 -253/1000))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (*.f64 -1/25 x) (cbrt.f64 -253/1000))
(+.f64 (.f64 -1/625 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 -1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000)))
(fma.f64 -1/625 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (.f64 x x)) (fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (cbrt.f64 -253/1000)))
(fma.f64 -1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (fma.f64 -1/625 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (*.f64 x x)) (cbrt.f64 -253/1000)))
(fma.f64 -1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (fma.f64 -1/625 (.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))))) (cbrt.f64 -253/1000)))
(+.f64 (.f64 -1/625 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 -1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4))) (+.f64 (.f64 -1/25 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (cbrt.f64 -253/1000))))
(fma.f64 -1/625 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (.f64 x x)) (fma.f64 -1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4)) (fma.f64 -1/25 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (cbrt.f64 -253/1000))))
(+.f64 (cbrt.f64 -253/1000) (fma.f64 -1/625 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (.f64 x x)) (fma.f64 -1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 -253/1000)) 8/18975))))
(+.f64 (cbrt.f64 -253/1000) (fma.f64 -1/625 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))))) (fma.f64 -1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (.f64 (/.f64 8/18975 (cbrt.f64 -253/1000)) (pow.f64 x 3)))))
(pow.f64 (cbrt.f64 -253/1000) 2)
(+.f64 (.f64 -2/25 (.f64 (pow.f64 (cbrt.f64 -253/1000) 1/3) x)) (pow.f64 (cbrt.f64 -253/1000) 2))
(fma.f64 -2/25 (*.f64 x (cbrt.f64 (cbrt.f64 -253/1000))) (pow.f64 (cbrt.f64 -253/1000) 2))
(fma.f64 x (*.f64 -2/25 (cbrt.f64 (cbrt.f64 -253/1000))) (pow.f64 (cbrt.f64 -253/1000) 2))
(+.f64 (.f64 (+.f64 (.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3))) (pow.f64 x 2)) (+.f64 (.f64 -2/25 (*.f64 (pow.f64 (cbrt.f64 -253/1000) 1/3) x)) (pow.f64 (cbrt.f64 -253/1000) 2)))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4))) -1/625) (.f64 x x) (fma.f64 -2/25 (*.f64 x (cbrt.f64 (cbrt.f64 -253/1000))) (pow.f64 (cbrt.f64 -253/1000) 2)))
(fma.f64 (.f64 x x) (.f64 -1/625 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)))) (fma.f64 -2/25 (*.f64 x (cbrt.f64 (cbrt.f64 -253/1000))) (pow.f64 (cbrt.f64 -253/1000) 2)))
(fma.f64 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000))) (.f64 x (.f64 x -1/625)) (fma.f64 x (*.f64 -2/25 (cbrt.f64 (cbrt.f64 -253/1000))) (pow.f64 (cbrt.f64 -253/1000) 2)))
(fma.f64 x (.f64 x (.f64 -1/625 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000))))) (fma.f64 x (*.f64 -2/25 (cbrt.f64 (cbrt.f64 -253/1000))) (pow.f64 (cbrt.f64 -253/1000) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3)) (.f64 -2/625 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)) 1/3))) (pow.f64 x 2)) (+.f64 (.f64 -2/25 (.f64 (pow.f64 (cbrt.f64 -253/1000) 1/3) x)) (+.f64 (.f64 32/94875 (pow.f64 x 3)) (pow.f64 (cbrt.f64 -253/1000) 2))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4))) -1/625) (.f64 x x) (fma.f64 -2/25 (*.f64 x (cbrt.f64 (cbrt.f64 -253/1000))) (fma.f64 32/94875 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2))))
(fma.f64 (.f64 x x) (.f64 -1/625 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 4)))) (fma.f64 -2/25 (*.f64 x (cbrt.f64 (cbrt.f64 -253/1000))) (fma.f64 (pow.f64 x 3) 32/94875 (pow.f64 (cbrt.f64 -253/1000) 2))))
(fma.f64 x (.f64 -2/25 (cbrt.f64 (cbrt.f64 -253/1000))) (fma.f64 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000))) (.f64 x (*.f64 x -1/625)) (fma.f64 (pow.f64 x 3) 32/94875 (pow.f64 (cbrt.f64 -253/1000) 2))))
(fma.f64 (cbrt.f64 (/.f64 -1000/253 (cbrt.f64 -253/1000))) (.f64 x (.f64 x -1/625)) (fma.f64 x (*.f64 -2/25 (cbrt.f64 (cbrt.f64 -253/1000))) (fma.f64 (pow.f64 x 3) 32/94875 (pow.f64 (cbrt.f64 -253/1000) 2))))
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(*.f64 -3/25 x)
(*.f64 x -3/25)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(*.f64 -3/25 x)
(*.f64 x -3/25)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(fma.f64 x -3/25 -253/1000)

eval87.0ms (2.4%)

Compiler: Compiled 3117 to 2625 computations (15.8% saved)

prune364.0ms (10.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	2	1	3
Picked	0	1	1
Done	0	3	3
Total	152	7	159

Error

0.0b

Counts

159 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	6.0b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)
	5.8b	(fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000)))) 1)
✓	0.1b	(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
✓	0.4b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
✓	0.4b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)

Compiler

Compiled 122 to 96 computations (21.3% saved)

regimes26.0ms (0.7%)

Accuracy

Total -55.7b remaining (-56995.6%)

Threshold costs -55.7b (-56995.6%)

Counts

11 → 1

Calls

Call 1

Inputs
(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)
(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
(fma.f64 (.f64 (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1))) (cbrt.f64 (fma.f64 -3/25 (.f64 x x) 1)) (*.f64 x -253/1000))
(fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000)))) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
(fma.f64 x (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))

Results

Time	Error	Segments	Branch
7.0ms	0.1b	1	`x`
5.0ms	0.1b	1	`(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
8.0ms	0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`

Compiler

Compiled 184 to 143 computations (22.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))

Outputs
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 x -253/1000)))

end17.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 24 to 20 computations (16.7% saved)

Details

analyze4.0ms (0.1%)

sample723.0ms (20.1%)

preprocess26.0ms (0.7%)

simplify20.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite36.0ms (1%)

simplify67.0ms (1.9%)

eval18.0ms (0.5%)

prune77.0ms (2.2%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite56.0ms (1.6%)

simplify60.0ms (1.7%)

eval47.0ms (1.3%)

prune342.0ms (9.5%)

localize9.0ms (0.3%)

series7.0ms (0.2%)

rewrite51.0ms (1.4%)

simplify45.0ms (1.3%)

eval144.0ms (4%)

prune1.3s (35.1%)

localize9.0ms (0.3%)

series7.0ms (0.2%)

rewrite44.0ms (1.2%)

simplify23.0ms (0.6%)

eval87.0ms (2.4%)

prune364.0ms (10.1%)

regimes26.0ms (0.7%)

simplify2.0ms (0.1%)

end17.0ms (0.5%)

Profiling