Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample1.8s (74.7%)

Results

1.8s

8256×

body

256

valid

preprocess36.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

955×	`fma-def_binary64`
377×	`sub-neg_binary64`
267×	`distribute-neg-in_binary64`
151×	`associate-+l-_binary64`
151×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	115	17
3	354	15
4	1273	7
5	3641	7
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Outputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 -1 (.f64 -2 (.f64 t 1/5000000000000000))))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (-.f64 -1 (*.f64 t 1/2500000000000000)))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 t -1/2500000000000000 (.f64 (.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2)))
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 20 to 17 computations (15% saved)

simplify22.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-def_binary64`
377×	`sub-neg_binary64`
267×	`distribute-neg-in_binary64`
151×	`associate-+l-_binary64`
151×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	115	17
3	354	15
4	1273	7
5	3641	7

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Outputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 -1 (.f64 -2 (.f64 t 1/5000000000000000))))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (-.f64 -1 (*.f64 t 1/2500000000000000)))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 t -1/2500000000000000 (.f64 (.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2)))
(.f64 t (.f64 t 1/25000000000000000000000000000000))

eval1.0ms (0%)

Compiler: Compiled 25 to 20 computations (20% saved)

prune1.0ms (0%)

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

0.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(*.f64 t 1/25000000000000000000000000000000)

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(.f64 t (.f64 t 1/25000000000000000000000000000000))
1.0ms	t	@	-inf	(*.f64 t 1/25000000000000000000000000000000)
1.0ms	t	@	0	(.f64 t (.f64 t 1/25000000000000000000000000000000))
1.0ms	t	@	inf	(*.f64 t 1/25000000000000000000000000000000)
1.0ms	t	@	0	(*.f64 t 1/25000000000000000000000000000000)

rewrite30.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`pow1_binary64`
414×	`add-log-exp_binary64`
414×	`log1p-expm1-u_binary64`
414×	`expm1-log1p-u_binary64`
406×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	102	11
2	1142	11

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(*.f64 t 1/25000000000000000000000000000000)
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t 1/25000000000000000000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))

simplify61.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
441×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	105	132
5	315	132
6	1204	132
7	2080	132
8	2244	132
9	2428	132
10	2636	132
11	2925	132
12	3318	132
13	3796	132
14	4359	132

Stop Event

1×	node limit

Counts

48 → 27

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

Outputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))

eval6.0ms (0.2%)

Compiler: Compiled 203 to 151 computations (25.6% saved)

prune17.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Error

0.0b

Counts

28 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
	0.5b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.6b	(cbrt.f64 (.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3) (pow.f64 t 3)))
	0.7b	(.f64 t (pow.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) 2))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
▶	0.5b	(pow.f64 (*.f64 t 1/5000000000000000) 2)
	0.6b	(.f64 t (cbrt.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3)))
	0.7b	(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))

Compiler

Compiled 124 to 98 computations (21% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 t 1/5000000000000000)
✓	0.4b	(pow.f64 (*.f64 t 1/5000000000000000) 2)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(pow.f64 (*.f64 t 1/5000000000000000) 2)
1.0ms	t	@	-inf	(pow.f64 (*.f64 t 1/5000000000000000) 2)
1.0ms	t	@	inf	(pow.f64 (*.f64 t 1/5000000000000000) 2)
0.0ms	t	@	inf	(*.f64 t 1/5000000000000000)
0.0ms	t	@	0	(*.f64 t 1/5000000000000000)

rewrite32.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`pow1_binary64`
453×	`add-log-exp_binary64`
453×	`log1p-expm1-u_binary64`
453×	`expm1-log1p-u_binary64`
443×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1305	11

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 t 1/5000000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (.f64 1/5000000000000000 (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/5000000000000000 (.f64 t (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t 1/5000000000000000) (.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/25000000000000000000000000000000 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/25000000000000000000000000000000 (.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) 2) (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) 2) (.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)) (pow.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 t 1/5000000000000000)) (.f64 (sqrt.f64 (.f64 t 1/5000000000000000)) (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 t 1/5000000000000000) (sqrt.f64 (.f64 t 1/5000000000000000))) (sqrt.f64 (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 t 1/5000000000000000) t) 1/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 t 1/5000000000000000) 1/5000000000000000) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 t 1/5000000000000000) (pow.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) 2)) (cbrt.f64 (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 t t)) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 t 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (*.f64 t t))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 t 1/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t 1/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 t 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t 1/5000000000000000)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/5000000000000000 (*.f64 t (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) (cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4)) (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 (*.f64 t 1/5000000000000000))) (sqrt.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2)) (cbrt.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 t t)) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 t 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/5000000000000000)))))))

simplify64.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

628×	`sqr-pow_binary64`
502×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
285×	`cube-prod_binary64`
276×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	132
1	15	132
2	26	132
3	51	132
4	125	132
5	361	132
6	1340	132
7	2220	132
8	2384	132
9	2598	132
10	2818	132
11	3116	132
12	3518	132
13	4004	132
14	4563	132

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)

eval8.0ms (0.3%)

Compiler: Compiled 308 to 234 computations (24% saved)

prune25.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	40	6	46

Error

Counts

46 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.4b	(.f64 t (.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))
	0.5b	(.f64 1/25000000000000000000000000000000 (.f64 t t))
	0.6b	(.f64 (.f64 (.f64 t 1/5000000000000000) (sqrt.f64 (.f64 t 1/5000000000000000))) (sqrt.f64 (*.f64 t 1/5000000000000000)))
	0.6b	(cbrt.f64 (.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3) (pow.f64 t 3)))

Compiler

Compiled 100 to 76 computations (24% saved)

localize4.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 t 1/5000000000000000)
✓	0.2b	(.f64 t (.f64 t 1/5000000000000000))
✓	0.3b	(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(.f64 t (.f64 t 1/5000000000000000))
0.0ms	t	@	0	(.f64 t (.f64 t 1/5000000000000000))
0.0ms	t	@	0	(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))
0.0ms	t	@	-inf	(.f64 t (.f64 t 1/5000000000000000))
0.0ms	t	@	inf	(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))

rewrite30.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`pow1_binary64`
481×	`add-log-exp_binary64`
481×	`log1p-expm1-u_binary64`
481×	`expm1-log1p-u_binary64`
471×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	123	14
2	1378	14

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))
(.f64 t (.f64 t 1/5000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 1/5000000000000000 t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/5000000000000000 t)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 1/5000000000000000 t) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/5000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 1/5000000000000000 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 1/5000000000000000 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/5000000000000000 t) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))))

simplify61.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

775×	`sqr-pow_binary64`
402×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
242×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	15	168
2	30	168
3	62	168
4	159	168
5	495	168
6	688	168
7	1102	168
8	1202	168
9	1337	168
10	1509	168
11	1752	168
12	2067	168
13	2439	168
14	2896	168
15	3473	168
16	4181	168

Stop Event

1×	node limit

Counts

48 → 28

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) 1/5000000000000000)
(.f64 t (.f64 t 1/5000000000000000))

eval11.0ms (0.4%)

Compiler: Compiled 376 to 291 computations (22.6% saved)

prune29.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	43	6	49

Error

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.4b	(.f64 t (.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))
	0.5b	(.f64 1/25000000000000000000000000000000 (.f64 t t))
	0.6b	(.f64 1/5000000000000000 (pow.f64 (.f64 t (sqrt.f64 1/5000000000000000)) 2))
▶	0.4b	(.f64 1/5000000000000000 (.f64 1/5000000000000000 (pow.f64 t 2)))

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/5000000000000000 (.f64 1/5000000000000000 (pow.f64 t 2)))
✓	0.3b	(*.f64 1/5000000000000000 (pow.f64 t 2))

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	inf	(*.f64 1/5000000000000000 (pow.f64 t 2))
0.0ms	t	@	0	(*.f64 1/5000000000000000 (pow.f64 t 2))
0.0ms	t	@	-inf	(*.f64 1/5000000000000000 (pow.f64 t 2))
0.0ms	t	@	inf	(.f64 1/5000000000000000 (.f64 1/5000000000000000 (pow.f64 t 2)))
0.0ms	t	@	0	(.f64 1/5000000000000000 (.f64 1/5000000000000000 (pow.f64 t 2)))

rewrite34.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`pow1_binary64`
535×	`add-log-exp_binary64`
535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
524×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	145	14
2	1525	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 1/5000000000000000 (pow.f64 t 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/5000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 4) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))))

simplify55.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

607×	`sqr-pow_binary64`
445×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84

Stop Event

1×	node limit

Counts

34 → 24

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))

eval6.0ms (0.2%)

Compiler: Compiled 194 to 133 computations (31.4% saved)

prune13.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	25	5	30

Error

Counts

30 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.4b	(.f64 t (.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))
	0.3b	(.f64 1/5000000000000000 (sqrt.f64 (.f64 (pow.f64 t 4) 1/25000000000000000000000000000000)))
✓	0.4b	(.f64 1/5000000000000000 (.f64 1/5000000000000000 (pow.f64 t 2)))
	0.2b	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes39.0ms (1.6%)

Accuracy

Total -61.6b remaining (-25030%)

Threshold costs -61.6b (-25030%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 1/5000000000000000 (sqrt.f64 (.f64 (pow.f64 t 4) 1/25000000000000000000000000000000)))
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(.f64 1/5000000000000000 (pow.f64 (.f64 t (sqrt.f64 1/5000000000000000)) 2))
(.f64 1/5000000000000000 (.f64 1/5000000000000000 (pow.f64 t 2)))
(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))
(.f64 t (.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 (.f64 (.f64 t 1/5000000000000000) (sqrt.f64 (.f64 t 1/5000000000000000))) (sqrt.f64 (*.f64 t 1/5000000000000000)))
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(cbrt.f64 (.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3) (pow.f64 t 3)))
(.f64 t (pow.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) 2))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 t (cbrt.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3)))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Outputs
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))

Results

Time	Error	Segments	Branch
9.0ms	0.2b	1	`t`
3.0ms	0.2b	1	`(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))`
10.0ms	0.2b	1	`(*.f64 t 1/5000000000000000)`
12.0ms	0.2b	1	`(*.f64 t 1/5000000000000000)`

Compiler

Compiled 168 to 132 computations (21.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))

Outputs
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))

end15.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 14 to 12 computations (14.3% saved)

Details

analyze0.0ms (0%)

sample1.8s (74.7%)

preprocess36.0ms (1.5%)

simplify22.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite30.0ms (1.2%)

simplify61.0ms (2.5%)

eval6.0ms (0.2%)

prune17.0ms (0.7%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite32.0ms (1.3%)

simplify64.0ms (2.6%)

eval8.0ms (0.3%)

prune25.0ms (1%)

localize4.0ms (0.2%)

series4.0ms (0.1%)

rewrite30.0ms (1.2%)

simplify61.0ms (2.5%)

eval11.0ms (0.4%)

prune29.0ms (1.2%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite34.0ms (1.4%)

simplify55.0ms (2.2%)

eval6.0ms (0.2%)

prune13.0ms (0.5%)

regimes39.0ms (1.6%)

simplify2.0ms (0.1%)

end15.0ms (0.6%)

Profiling