Details

analyze337.0ms (3.7%)

Algorithm

1×

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
12.5%	87.4%	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 12 to 11 computations (8.3% saved)

sample140.0ms (1.6%)

Algorithm

1×

intervals

Results

67.0ms	139×	body	1024	valid
22.0ms	78×	body	1024	invalid
13.0ms	54×	body	512	valid
7.0ms	38×	body	512	invalid
7.0ms	98×	body	128	invalid
4.0ms	28×	body	256	valid
3.0ms	21×	body	256	invalid
2.0ms	32×	body	128	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify233.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5003	18

prune2.0ms (0%)

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: 44.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.3b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_2120` `add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `*-un-lft-identity_binary64_2099` `add-exp-log_binary64_2134`
5×	`associate-r_binary64_2041`
4×	`add-log-exp_binary64_2135`
3×	`sub-neg_binary64_2092` `add-cube-cbrt_binary64_2131` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `cbrt-unprod_binary64_2129`
2×	`difference-of-squares_binary64_2068` `associate-*r/_binary64_2043` `flip3--_binary64_2103` `flip--_binary64_2074` `distribute-lft-out--_binary64_2053`
1×	`associate-l_binary64_2042` `distribute-rgt-in_binary64_2051` `*-commutative_binary64_2032` `distribute-lft-in_binary64_2050` `diff-log_binary64_2188`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series187.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

146.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
41.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5484	764

prune63.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.1b

Counts

44 → 3

Compiler

Compiled 753 to 303 computations (59.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2120`
19×	`add-exp-log_binary64_2134`
18×	`associate-r_binary64_2041`
13×	`add-cbrt-cube_binary64_2132`
12×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
11×	`associate-l_binary64_2042`
9×	`pow1_binary64_2157` `prod-exp_binary64_2145` `add-log-exp_binary64_2135`
8×	`unpow-prod-down_binary64_2175`
7×	`unswap-sqr_binary64_2067`
5×	`cbrt-unprod_binary64_2129`
4×	`sqr-pow_binary64_2071` `cube-prod_binary64_2124`
3×	`*-commutative_binary64_2032` `pow-prod-down_binary64_2167`
2×	`associate-*r/_binary64_2043` `flip3-+_binary64_2102` `pow-exp_binary64_2164` `pow-to-exp_binary64_2165` `sum-log_binary64_2187` `flip-+_binary64_2073`
1×	`sub-neg_binary64_2092` `associate-+l+_binary64_2034` `distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050` `unpow3_binary64_2162` `+-commutative_binary64_2031` `cube-mult_binary64_2126` `associate-+l-_binary64_2036` `diff-log_binary64_2188`

Counts

4 → 92

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)

series452.0ms (5%)

Counts

4 → 12

Calls

4 calls:

283.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
63.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
60.0ms	(*.f64 (pow.f64 im 5) -1/60)
46.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4967	1849
1	4967	1849

prune171.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

Compiler

Compiled 2964 to 2275 computations (23.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2127`
23×	`add-sqr-sqrt_binary64_2120`
18×	`cbrt-div_binary64_2128`
15×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
11×	`pow1_binary64_2157`
9×	`flip3-+_binary64_2102` `pow1/3_binary64_2178` `flip-+_binary64_2073`
6×	`associate-l_binary64_2042` `associate-r_binary64_2041` `add-exp-log_binary64_2134` `swap-sqr_binary64_2066`
4×	`add-cbrt-cube_binary64_2132` `add-log-exp_binary64_2135` `unswap-sqr_binary64_2067` `frac-times_binary64_2109`
2×	`associate-r/_binary64_2043` `associate-l/_binary64_2044` `pow-prod-down_binary64_2167` `pow-prod-up_binary64_2166` `pow-sqr_binary64_2072`
1×	`*-commutative_binary64_2032` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `cbrt-unprod_binary64_2129`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series715.0ms (8%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
176.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
170.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
167.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify118.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4945	4222
1	4945	4222

prune448.0ms (5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

Compiler

Compiled 6837 to 5528 computations (19.1% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2127`
8×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `cbrt-div_binary64_2128` `*-un-lft-identity_binary64_2099`
4×	`flip3-+_binary64_2102` `pow1/3_binary64_2178` `add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `add-log-exp_binary64_2135` `flip-+_binary64_2073` `add-exp-log_binary64_2134`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series689.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
172.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
171.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
168.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4923	2528
1	4923	2528

prune357.0ms (4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

Compiler

Compiled 5752 to 4708 computations (18.2% saved)

regimes154.0ms (1.7%)

Compiler: Compiled 1903 to 1631 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.5s (50%)

Algorithm

1×

intervals

Results

1.9s	4074×	body	1024	valid
548.0ms	1931×	body	1024	invalid
488.0ms	2025×	body	512	valid
187.0ms	961×	body	512	invalid
170.0ms	2536×	body	128	invalid
152.0ms	1046×	body	256	valid
144.0ms	205×	body	2048	valid
63.0ms	508×	body	256	invalid
46.0ms	650×	body	128	valid

Compiler

Compiled 448 to 378 computations (15.6% saved)

Details

analyze337.0ms (3.7%)

sample140.0ms (1.6%)

simplify233.0ms (2.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite20.0ms (0.2%)

series187.0ms (2.1%)

simplify69.0ms (0.8%)

prune63.0ms (0.7%)

localize14.0ms (0.2%)

rewrite42.0ms (0.5%)

series452.0ms (5%)

simplify42.0ms (0.5%)

prune171.0ms (1.9%)

localize18.0ms (0.2%)

rewrite54.0ms (0.6%)

series715.0ms (8%)

simplify118.0ms (1.3%)

prune448.0ms (5%)

localize28.0ms (0.3%)

rewrite38.0ms (0.4%)

series689.0ms (7.7%)

simplify89.0ms (1%)

prune357.0ms (4%)

regimes154.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.5s (50%)

Profiling