Details

analyze515.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4722	36
1	4722	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
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)

sample121.0ms (1.2%)

Algorithm

1×

intervals

Results

56.0ms	141×	body	1024	valid
14.0ms	69×	body	512	valid
13.0ms	57×	body	1024	invalid
9.0ms	91×	body	128	invalid
6.0ms	37×	body	512	invalid
3.0ms	26×	body	256	valid
2.0ms	19×	body	256	invalid
2.0ms	4×	body	2048	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune3.0ms (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: 45.9b

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)))
6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`cancel-sign-sub-inv_binary64_3454`
7×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
6×	`add-cube-cbrt_binary64_3523`
5×	`associate-r_binary64_3428`
4×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `add-log-exp_binary64_3527`
3×	`cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `sub-neg_binary64_3481`
2×	`difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `associate-*r/_binary64_3430` `flip--_binary64_3463`
1×	`diff-log_binary64_3580` `associate-l_binary64_3429` `*-commutative_binary64_3419`

Counts

2 → 46

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))

series97.0ms (1%)

Counts

2 → 6

Calls

2 calls:

76.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4892	911
1	4892	911

prune66.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Merged error: 0.1b

Counts

53 → 3

Compiler

Compiled 896 to 353 computations (60.6% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(*.f64 1/3 (pow.f64 im 3))
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)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3510`
18×	`add-exp-log_binary64_3526` `associate-r_binary64_3428`
12×	`add-cbrt-cube_binary64_3524`
11×	`associate-l_binary64_3429` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
9×	`prod-exp_binary64_3537`
8×	`unpow-prod-down_binary64_3567` `pow1_binary64_3549`
7×	`unswap-sqr_binary64_3456`
5×	`cbrt-unprod_binary64_3521`
4×	`cube-prod_binary64_3516` `sqr-pow_binary64_3460`
3×	`pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `*-commutative_binary64_3419`
2×	`pow-exp_binary64_3556` `pow-to-exp_binary64_3557` `associate-*r/_binary64_3430`
1×	`unpow3_binary64_3554` `distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `flip-+_binary64_3462` `flip3-+_binary64_3491` `cube-mult_binary64_3518`

Counts

3 → 78

Calls

3 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 1/3 (pow.f64 im 3))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)

series210.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

158.0ms	(.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)))
30.0ms	(*.f64 (pow.f64 im 5) -1/60)
23.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5603	1371

prune139.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	82	8	90

Merged error: 0.1b

Counts

90 → 8

Compiler

Compiled 2481 to 1888 computations (23.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
11.4b	(cbrt.f64 (.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))))
11.4b	(cbrt.f64 (.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))))
11.4b	(cbrt.f64 (.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))))

rewrite54.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3430`
18×	`cbrt-div_binary64_3520`
11×	`pow1_binary64_3549`
10×	`add-sqr-sqrt_binary64_3510`
9×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `pow1/3_binary64_3570`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`cbrt-prod_binary64_3519`
6×	`add-exp-log_binary64_3526`
4×	`swap-sqr_binary64_3455` `add-cbrt-cube_binary64_3524` `associate-l_binary64_3429` `frac-times_binary64_3498` `associate-r_binary64_3428` `add-log-exp_binary64_3527`
2×	`associate-*l/_binary64_3431` `pow-prod-up_binary64_3558` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
9.0ms	(cbrt.f64 (.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))))
9.0ms	(cbrt.f64 (.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))))
9.0ms	(cbrt.f64 (.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))))

series1.5s (15.2%)

Counts

4 → 12

Calls

4 calls:

557.0ms	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
328.0ms	(cbrt.f64 (.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))))
324.0ms	(cbrt.f64 (.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))))
321.0ms	(cbrt.f64 (.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))))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4947	4064
1	4947	4064

prune367.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

Compiler

Compiled 6761 to 5270 computations (22.1% saved)

localize25.0ms (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 1/2 (sin.f64 re)))
11.4b	(cbrt.f64 (.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))))
11.4b	(cbrt.f64 (.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))))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_3519` `cbrt-div_binary64_3520`
5×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
4×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-*r/_binary64_3430` `add-log-exp_binary64_3527` `pow1/3_binary64_3570` `pow1_binary64_3549`
3×	`flip-+_binary64_3462` `flip3-+_binary64_3491`

Counts

4 → 44

Calls

4 calls:

10.0ms	(cbrt.f64 (.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))))
9.0ms	(cbrt.f64 (.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))))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
3.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

series839.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt.f64 (.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))))
325.0ms	(cbrt.f64 (.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))))
96.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
89.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4901	1984
1	4901	1984

prune238.0ms (2.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	55	12	67

Merged error: 0.0b

Counts

67 → 12

Compiler

Compiled 4319 to 3354 computations (22.3% saved)

regimes550.0ms (5.5%)

Compiler: Compiled 8340 to 6689 computations (19.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.8s (47.6%)

Algorithm

1×

intervals

Results

1.6s	4050×	body	1024	valid
452.0ms	1901×	body	1024	invalid
433.0ms	2049×	body	512	valid
169.0ms	1021×	body	512	invalid
161.0ms	2521×	body	128	invalid
141.0ms	1060×	body	256	valid
128.0ms	217×	body	2048	valid
56.0ms	454×	body	256	invalid
41.0ms	624×	body	128	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 1421 to 1141 computations (19.7% saved)

Details

analyze515.0ms (5.1%)

sample121.0ms (1.2%)

simplify71.0ms (0.7%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite21.0ms (0.2%)

series97.0ms (1%)

simplify83.0ms (0.8%)

prune66.0ms (0.7%)

localize14.0ms (0.1%)

rewrite29.0ms (0.3%)

series210.0ms (2.1%)

simplify60.0ms (0.6%)

prune139.0ms (1.4%)

localize19.0ms (0.2%)

rewrite54.0ms (0.5%)

series1.5s (15.2%)

simplify79.0ms (0.8%)

prune367.0ms (3.7%)

localize25.0ms (0.3%)

rewrite35.0ms (0.4%)

series839.0ms (8.4%)

simplify83.0ms (0.8%)

prune238.0ms (2.4%)

regimes550.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (47.6%)

Profiling