Details

analyze342.0ms (3.6%)

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)

sample125.0ms (1.3%)

Algorithm

1×

intervals

Results

59.0ms	121×	body	1024	valid
15.0ms	65×	body	512	valid
13.0ms	49×	body	1024	invalid
10.0ms	15×	body	2048	valid
6.0ms	40×	body	256	valid
5.0ms	75×	body	128	invalid
4.0ms	20×	body	512	invalid
1.0ms	11×	body	256	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify234.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5003	18

prune6.0ms (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: 42.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (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)))
6.7b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_3447` `add-cbrt-cube_binary64_3480` `add-sqr-sqrt_binary64_3468` `add-exp-log_binary64_3482` `pow1_binary64_3505`
5×	`associate-r_binary64_3389`
4×	`add-log-exp_binary64_3483`
3×	`cbrt-unprod_binary64_3477` `add-cube-cbrt_binary64_3479` `sub-neg_binary64_3440` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`
2×	`distribute-lft-out--_binary64_3401` `flip--_binary64_3422` `associate-*r/_binary64_3391` `difference-of-squares_binary64_3416` `flip3--_binary64_3451`
1×	`distribute-lft-in_binary64_3398` `associate-l_binary64_3390` `*-commutative_binary64_3380` `distribute-rgt-in_binary64_3399` `diff-log_binary64_3536`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series178.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

136.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
42.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5484	764

prune52.0ms (0.6%)

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: 0.2b

Counts

44 → 3

Compiler

Compiled 758 to 307 computations (59.5% saved)

localize15.0ms (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 1/3 (pow.f64 im 3))
0.2b	(.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)))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3468`
19×	`add-exp-log_binary64_3482`
18×	`associate-r_binary64_3389`
13×	`add-cbrt-cube_binary64_3480`
12×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479`
11×	`associate-l_binary64_3390`
9×	`add-log-exp_binary64_3483` `pow1_binary64_3505` `prod-exp_binary64_3493`
8×	`unpow-prod-down_binary64_3523`
7×	`unswap-sqr_binary64_3415`
5×	`cbrt-unprod_binary64_3477`
4×	`cube-prod_binary64_3472` `sqr-pow_binary64_3419`
3×	`*-commutative_binary64_3380` `pow-prod-down_binary64_3515`
2×	`flip-+_binary64_3421` `sum-log_binary64_3535` `pow-exp_binary64_3512` `associate-*r/_binary64_3391` `flip3-+_binary64_3450` `pow-to-exp_binary64_3513`
1×	`unpow3_binary64_3510` `distribute-lft-in_binary64_3398` `cube-mult_binary64_3474` `associate-+l-_binary64_3384` `+-commutative_binary64_3379` `distribute-rgt-in_binary64_3399` `associate-+l+_binary64_3382` `diff-log_binary64_3536` `sub-neg_binary64_3440`

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)))
8.0ms	(+.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)

series456.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

284.0ms	(.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)))
66.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
56.0ms	(*.f64 (pow.f64 im 5) -1/60)
50.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4967	1849
1	4967	1849

prune168.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	97	10	107

Merged error: 0.1b

Counts

107 → 10

Compiler

Compiled 3041 to 2340 computations (23.1% saved)

localize21.0ms (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))))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite55.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3475`
23×	`add-sqr-sqrt_binary64_3468`
18×	`cbrt-div_binary64_3476`
15×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479`
11×	`pow1_binary64_3505`
9×	`flip-+_binary64_3421` `flip3-+_binary64_3450` `pow1/3_binary64_3526`
6×	`swap-sqr_binary64_3414` `associate-l_binary64_3390` `add-exp-log_binary64_3482` `associate-r_binary64_3389`
4×	`add-log-exp_binary64_3483` `add-cbrt-cube_binary64_3480` `frac-times_binary64_3457` `unswap-sqr_binary64_3415`
2×	`associate-l/_binary64_3392` `associate-r/_binary64_3391` `pow-sqr_binary64_3420` `pow-prod-down_binary64_3515` `pow-prod-up_binary64_3514`
1×	`cbrt-unprod_binary64_3477` `pow-plus_binary64_3507` `pow2_binary64_3525` `*-commutative_binary64_3380` `prod-exp_binary64_3493`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.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)))

series692.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

203.0ms	(.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))))
171.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
161.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
155.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4945	4222
1	4945	4222

prune480.0ms (5.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	94	15	109

Merged error: 0.0b

Counts

109 → 15

Compiler

Compiled 7339 to 5955 computations (18.9% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3475`
8×	`*-un-lft-identity_binary64_3447` `cbrt-div_binary64_3476` `add-cube-cbrt_binary64_3479` `add-sqr-sqrt_binary64_3468`
4×	`flip-+_binary64_3421` `add-log-exp_binary64_3483` `flip3-+_binary64_3450` `add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482` `pow1/3_binary64_3526` `pow1_binary64_3505`

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)))

series686.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(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)))
170.0ms	(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)))

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4923	2528
1	4923	2528

prune392.0ms (4.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	64	15	79

Merged error: 0.0b

Counts

79 → 15

Compiler

Compiled 6072 to 5028 computations (17.2% saved)

regimes235.0ms (2.5%)

Compiler: Compiled 3304 to 2820 computations (14.6% 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%)

sample4.9s (51.5%)

Algorithm

1×

intervals

Results

1.9s	4076×	body	1024	valid
554.0ms	1938×	body	1024	invalid
474.0ms	1999×	body	512	valid
176.0ms	2535×	body	128	invalid
165.0ms	876×	body	512	invalid
160.0ms	230×	body	2048	valid
147.0ms	1038×	body	256	valid
59.0ms	467×	body	256	invalid
48.0ms	657×	body	128	valid

Compiler

Compiled 895 to 758 computations (15.3% saved)

Details

analyze342.0ms (3.6%)

sample125.0ms (1.3%)

simplify234.0ms (2.5%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite21.0ms (0.2%)

series178.0ms (1.9%)

simplify69.0ms (0.7%)

prune52.0ms (0.6%)

localize15.0ms (0.2%)

rewrite40.0ms (0.4%)

series456.0ms (4.8%)

simplify45.0ms (0.5%)

prune168.0ms (1.8%)

localize21.0ms (0.2%)

rewrite55.0ms (0.6%)

series692.0ms (7.3%)

simplify121.0ms (1.3%)

prune480.0ms (5.1%)

localize26.0ms (0.3%)

rewrite42.0ms (0.4%)

series686.0ms (7.2%)

simplify88.0ms (0.9%)

prune392.0ms (4.1%)

regimes235.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.9s (51.5%)

Profiling