Details

analyze661.0ms (9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4943	36
1	4943	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample123.0ms (1.7%)

Algorithm

1×

intervals

Results

33.0ms	63×	body	1024	valid
25.0ms	77×	body	1024	invalid
15.0ms	147×	body	128	valid
9.0ms	33×	body	512	valid
7.0ms	31×	body	512	invalid
7.0ms	84×	body	128	invalid
2.0ms	13×	body	256	invalid
2.0ms	13×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify142.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5282	18

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117` `associate-r_binary64_18`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `cbrt-unprod_binary64_111` `add-sqr-sqrt_binary64_100`
2×	`flip3-+_binary64_81` `associate-*r/_binary64_20` `flip-+_binary64_52` `distribute-lft-out_binary64_29`
1×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-l_binary64_19` `*-commutative_binary64_9` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

2 → 35

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 692 to 227 computations (67.2% saved)

series362.0ms (4.9%)

Error

0.0b

Counts

2 → 16

Calls

2 calls:

318.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
24.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 578 to 427 computations (26.1% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4910	882
1	4910	882

prune50.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 810 to 320 computations (60.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.4b	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
0.5b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite163.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
16×	`*-un-lft-identity_binary64_78`
15×	`associate-r_binary64_18`
14×	`sqrt-div_binary64_95`
10×	`associate-*r/_binary64_20`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `flip3-+_binary64_81` `flip-+_binary64_52` `sqrt-prod_binary64_94`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
4×	`frac-times_binary64_88` `distribute-lft-out_binary64_29`
2×	`associate-l/_binary64_21` `associate-l_binary64_19` `-commutative_binary64_9` `cosh-undef_binary64_272` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 83

Calls

4 calls:

19.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
15.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
5.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 2670 to 667 computations (75% saved)

series523.0ms (7.2%)

Error

Counts

4 → 32

Calls

4 calls:

238.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
165.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
51.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
25.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 1777 to 1171 computations (34.1% saved)

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4923	2515
1	4923	2515

prune134.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Error

Counts

118 → 3

Compiler

Compiled 2777 to 911 computations (67.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 im im))
0.0b	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
0.1b	(*.f64 1/24 (pow.f64 im 4))
0.1b	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))

rewrite155.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_100`
16×	`add-exp-log_binary64_116`
13×	`add-cbrt-cube_binary64_114`
11×	`pow1_binary64_139` `associate-r_binary64_18`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`associate-l_binary64_19`
7×	`prod-exp_binary64_127`
6×	`add-log-exp_binary64_117`
5×	`cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
4×	`pow-prod-down_binary64_149` `unpow-prod-down_binary64_157`
3×	`*-commutative_binary64_9`
2×	`flip3-+_binary64_81` `associate-*r/_binary64_20` `flip-+_binary64_52` `sqr-pow_binary64_50`
1×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 77

Calls

4 calls:

12.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
11.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
7.0ms	(*.f64 1/24 (pow.f64 im 4))
6.0ms	(.f64 1/2 (.f64 im im))

Compiler

Compiled 1978 to 1182 computations (40.2% saved)

series474.0ms (6.5%)

Error

Counts

4 → 22

Calls

4 calls:

275.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
85.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
42.0ms	(*.f64 1/24 (pow.f64 im 4))
32.0ms	(.f64 1/2 (.f64 im im))

Compiler

Compiled 1039 to 768 computations (26.1% saved)

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4941	1483
1	4941	1483

prune120.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Error

Counts

102 → 3

Compiler

Compiled 2114 to 1231 computations (41.8% saved)

regimes280.0ms (3.8%)

Accuracy

Total 0.0b remaining (28.4%)

Threshold costs 0.0b (28.4%)

Compiler

Compiled 1672 to 1330 computations (20.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample3.7s (50.9%)

Algorithm

1×

intervals

Results

897.0ms	1946×	body	1024	valid
606.0ms	1885×	body	1024	invalid
363.0ms	4496×	body	128	valid
268.0ms	1065×	body	512	valid
215.0ms	968×	body	512	invalid
199.0ms	2460×	body	128	invalid
77.0ms	489×	body	256	valid
68.0ms	444×	body	256	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 289 to 231 computations (20.1% saved)

Details

analyze661.0ms (9%)

sample123.0ms (1.7%)

simplify142.0ms (1.9%)

prune4.0ms (0.1%)

localize17.0ms (0.2%)

rewrite59.0ms (0.8%)

series362.0ms (4.9%)

simplify82.0ms (1.1%)

prune50.0ms (0.7%)

localize13.0ms (0.2%)

rewrite163.0ms (2.2%)

series523.0ms (7.2%)

simplify101.0ms (1.4%)

prune134.0ms (1.8%)

localize11.0ms (0.2%)

rewrite155.0ms (2.1%)

series474.0ms (6.5%)

simplify112.0ms (1.5%)

prune120.0ms (1.6%)

regimes280.0ms (3.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.7s (50.9%)

Profiling