Details

analyze8.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

Compiler

Compiled 28 to 27 computations (3.6% saved)

sample237.0ms (1.3%)

Algorithm

1×

intervals

Results

84.0ms	66×	body	2048	valid
64.0ms	64×	body	1024	valid
26.0ms	12×	body	4096	valid
20.0ms	29×	body	512	valid
15.0ms	73×	body	128	valid
5.0ms	12×	body	256	valid

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify228.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	990	35
1	990	35

prune10.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 43.8b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.1b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
2.8b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
31.6b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
34.3b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_25348` `add-exp-log_binary64_25350` `pow1_binary64_25373`
6×	`associate-r_binary64_25252` `cbrt-unprod_binary64_25345` `add-sqr-sqrt_binary64_25334` `pow-prod-down_binary64_25383` `prod-exp_binary64_25361` `*-un-lft-identity_binary64_25312` `add-cube-cbrt_binary64_25347`
4×	`add-log-exp_binary64_25351` `cos-sum_binary64_25446` `associate-*r/_binary64_25254` `distribute-lft-in_binary64_25261` `distribute-rgt-in_binary64_25262`
2×	`-commutative_binary64_25243` `associate-l*_binary64_25253` `flip3-+_binary64_25315` `flip-+_binary64_25286`

Counts

4 → 62

Calls

4 calls:

14.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
13.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
7.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
6.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

series244.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
73.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
48.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
47.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5014	1254

prune641.0ms (3.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	52	22	74
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	23	76

Merged error: 39.1b

Counts

76 → 23

Compiler

Compiled 2816 to 1977 computations (29.8% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

15.5b	(cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))
15.5b	(cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))
31.8b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))
34.3b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_25348` `add-log-exp_binary64_25351` `associate-r/_binary64_25254` `add-exp-log_binary64_25350` `cbrt-div_binary64_25344` `add-sqr-sqrt_binary64_25334` `pow1_binary64_25373` `-un-lft-identity_binary64_25312` `add-cube-cbrt_binary64_25347`
2×	`flip3-+_binary64_25315` `flip-+_binary64_25286` `pow1/3_binary64_25394` `cos-sum_binary64_25446` `cbrt-prod_binary64_25343`
1×	`distribute-lft-in_binary64_25261` `distribute-rgt-in_binary64_25262`

Counts

4 → 38

Calls

4 calls:

16.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))
10.0ms	(cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))
9.0ms	(cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))
6.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

series627.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))
239.0ms	(cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))
62.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))
43.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5215	1092

prune295.0ms (1.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	38	12	50
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	43	30	73

Merged error: 38.8b

Counts

73 → 30

Compiler

Compiled 3681 to 2612 computations (29% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

27.3b	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
28.3b	(cos.f64 (.f64 1/16 (.f64 z t)))
28.5b	(sin.f64 (.f64 1/16 (.f64 z t)))
31.8b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_25348` `add-log-exp_binary64_25351` `add-exp-log_binary64_25350` `add-sqr-sqrt_binary64_25334` `pow1_binary64_25373` `*-un-lft-identity_binary64_25312` `add-cube-cbrt_binary64_25347`

Counts

4 → 28

Calls

4 calls:

19.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))
5.0ms	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
4.0ms	(cos.f64 (.f64 1/16 (.f64 z t)))
4.0ms	(sin.f64 (.f64 1/16 (.f64 z t)))

series138.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))
37.0ms	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
25.0ms	(sin.f64 (.f64 1/16 (.f64 z t)))
20.0ms	(cos.f64 (.f64 1/16 (.f64 z t)))

simplify263.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	5275	536

prune345.0ms (1.8%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	4	25	29
Picked	1	0	1
Done	0	0	0
Total	38	32	70

Merged error: 38.7b

Counts

70 → 32

Compiler

Compiled 4031 to 2736 computations (32.1% saved)

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

27.3b	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
28.3b	(cos.f64 (.f64 1/16 (.f64 z t)))
28.5b	(sin.f64 (.f64 1/16 (.f64 t z)))
31.8b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_25348` `add-log-exp_binary64_25351` `add-exp-log_binary64_25350` `add-sqr-sqrt_binary64_25334` `pow1_binary64_25373` `*-un-lft-identity_binary64_25312` `add-cube-cbrt_binary64_25347`

Counts

4 → 28

Calls

4 calls:

16.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))
5.0ms	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
5.0ms	(sin.f64 (.f64 1/16 (.f64 t z)))
5.0ms	(cos.f64 (.f64 1/16 (.f64 z t)))

series142.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a)))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (.f64 1/8 a))))) (cbrt.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 1/8 a))))))
35.0ms	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
24.0ms	(cos.f64 (.f64 1/16 (.f64 z t)))
22.0ms	(sin.f64 (.f64 1/16 (.f64 t z)))

simplify266.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	5275	536

prune217.0ms (1.1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	1	30	31
Picked	1	0	1
Done	0	0	0
Total	39	33	72

Merged error: 38.7b

Counts

72 → 33

Compiler

Compiled 2760 to 1722 computations (37.6% saved)

regimes3.9s (20.7%)

Compiler: Compiled 32402 to 26691 computations (17.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	91	132
1	91	132

end0.0ms (0%)

sample10.7s (56.6%)

Algorithm

1×

intervals

Results

3.0s	2352×	body	2048	valid
1.7s	1942×	body	1024	valid
812.0ms	350×	body	4096	valid
559.0ms	891×	body	512	valid
405.0ms	2045×	body	128	valid
178.0ms	420×	body	256	valid

Compiler

Compiled 2560 to 2093 computations (18.2% saved)

Details

analyze8.0ms (0%)

sample237.0ms (1.3%)

simplify228.0ms (1.2%)

prune10.0ms (0.1%)

localize32.0ms (0.2%)

rewrite52.0ms (0.3%)

series244.0ms (1.3%)

simplify128.0ms (0.7%)

prune641.0ms (3.4%)

localize49.0ms (0.3%)

rewrite52.0ms (0.3%)

series627.0ms (3.3%)

simplify112.0ms (0.6%)

prune295.0ms (1.6%)

localize55.0ms (0.3%)

rewrite40.0ms (0.2%)

series138.0ms (0.7%)

simplify263.0ms (1.4%)

prune345.0ms (1.8%)

localize74.0ms (0.4%)

rewrite40.0ms (0.2%)

series142.0ms (0.8%)

simplify266.0ms (1.4%)

prune217.0ms (1.1%)

regimes3.9s (20.7%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample10.7s (56.6%)

Profiling