Details

analyze494.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	36
1	4887	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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample122.0ms (0.6%)

Algorithm

1×

intervals

Results

63.0ms	165×	body	1024	valid
14.0ms	69×	body	1024	invalid
10.0ms	49×	body	512	valid
7.0ms	13×	body	2048	valid
5.0ms	32×	body	512	invalid
2.0ms	17×	body	256	valid
2.0ms	17×	body	256	invalid
1.0ms	23×	body	128	invalid
1.0ms	12×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5340	18

prune4.0ms (0%)

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

58.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.1b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite71.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

58.0b

Rules

10×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
9×	`cancel-sign-sub-inv_binary64_2772`
7×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
6×	`add-cube-cbrt_binary64_2841`
5×	`associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
3×	`sub-neg_binary64_2799` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
2×	`flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758` `associate-*r/_binary64_2748`
1×	`diff-log_binary64_2898` `associate-l_binary64_2747` `*-commutative_binary64_2737`

Counts

2 → 46

Calls

2 calls:

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

Compiler

Compiled 925 to 309 computations (66.6% saved)

series189.0ms (1%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

145.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
25.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 618 to 455 computations (26.4% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5053	1131

prune56.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

0.1b

Counts

63 → 3

Compiler

Compiled 1034 to 411 computations (60.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite271.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_2828`
29×	`associate-r_binary64_2746`
24×	`add-exp-log_binary64_2844`
15×	`add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
12×	`prod-exp_binary64_2855` `unpow-prod-down_binary64_2885` `associate--l+_binary64_2743`
10×	`unswap-sqr_binary64_2774` `associate-l_binary64_2747`
9×	`pow1_binary64_2867`
6×	`cbrt-unprod_binary64_2839` `sqr-pow_binary64_2778` `sub-neg_binary64_2799` `distribute-rgt-in_binary64_2756` `cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755`
4×	`add-log-exp_binary64_2845` `cube-prod_binary64_2834` `*-commutative_binary64_2737`
3×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `pow-prod-down_binary64_2877`
2×	`associate-*r/_binary64_2748`
1×	`unpow3_binary64_2872` `cube-mult_binary64_2836` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 113

Calls

4 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 1/2520 (pow.f64 im 7))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series444.0ms (2.3%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

289.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
47.0ms	(*.f64 1/2520 (pow.f64 im 7))
40.0ms	(*.f64 1/3 (pow.f64 im 3))
38.0ms	(*.f64 1/60 (pow.f64 im 5))

Compiler

Compiled 1692 to 1380 computations (18.4% saved)

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5189	2814

prune269.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	129	8	137

Error

0.0b

Counts

137 → 8

Compiler

Compiled 4698 to 3626 computations (22.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite742.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3--_binary64_2810` `flip--_binary64_2781`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 87

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
10.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
9.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
9.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

Compiler

Compiled 8951 to 7316 computations (18.3% saved)

series750.0ms (3.8%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

238.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
144.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
143.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
137.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

Compiler

Compiled 4858 to 4208 computations (13.4% saved)

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5200	5824

prune739.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	113	8	121

Error

0.0b

Counts

121 → 8

Compiler

Compiled 9794 to 7990 computations (18.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

rewrite667.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-*r/_binary64_2748`
18×	`cbrt-div_binary64_2838`
11×	`pow1_binary64_2867`
10×	`add-sqr-sqrt_binary64_2828`
9×	`pow1/3_binary64_2888` `flip3--_binary64_2810` `flip--_binary64_2781`
8×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
7×	`cbrt-prod_binary64_2837`
6×	`add-exp-log_binary64_2844`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-*l/_binary64_2749`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

4 → 72

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

Compiler

Compiled 8066 to 6395 computations (20.7% saved)

series6.2s (31.6%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

1.5s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.5s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.5s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.4s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))

Compiler

Compiled 12110 to 10085 computations (16.7% saved)

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4951	6460
1	4951	6460

prune733.0ms (3.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	112	9	121

Error

0.0b

Counts

121 → 9

Compiler

Compiled 10178 to 8060 computations (20.8% saved)

regimes1.1s (5.7%)

Accuracy

Total 0.6b remaining (95.4%)

Threshold costs 0.6b (95.4%)

Compiler

Compiled 18312 to 15264 computations (16.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	39
1	104	39

end0.0ms (0%)

sample6.3s (31.9%)

Algorithm

1×

intervals

Results

1.8s	4894×	body	1024	valid
426.0ms	1889×	body	1024	invalid
363.0ms	1663×	body	512	valid
230.0ms	429×	body	2048	valid
172.0ms	1034×	body	512	invalid
83.0ms	666×	body	256	valid
59.0ms	511×	body	256	invalid
41.0ms	666×	body	128	invalid
22.0ms	348×	body	128	valid
1.0ms	2×	body	2048	invalid

Compiler

Compiled 3124 to 2600 computations (16.8% saved)

Details

analyze494.0ms (2.5%)

sample122.0ms (0.6%)

simplify88.0ms (0.4%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite71.0ms (0.4%)

series189.0ms (1%)

simplify74.0ms (0.4%)

prune56.0ms (0.3%)

localize17.0ms (0.1%)

rewrite271.0ms (1.4%)

series444.0ms (2.3%)

simplify63.0ms (0.3%)

prune269.0ms (1.4%)

localize31.0ms (0.2%)

rewrite742.0ms (3.8%)

series750.0ms (3.8%)

simplify97.0ms (0.5%)

prune739.0ms (3.8%)

localize25.0ms (0.1%)

rewrite667.0ms (3.4%)

series6.2s (31.6%)

simplify103.0ms (0.5%)

prune733.0ms (3.7%)

regimes1.1s (5.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.3s (31.9%)

Profiling