Details

analyze332.0ms (3.1%)

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)

sample122.0ms (1.1%)

Algorithm

1×

intervals

Results

53.0ms	135×	body	1024	valid
15.0ms	66×	body	1024	invalid
12.0ms	45×	body	512	valid
6.0ms	10×	body	2048	valid
5.0ms	32×	body	512	invalid
5.0ms	39×	body	256	valid
4.0ms	64×	body	128	invalid
2.0ms	27×	body	128	valid
2.0ms	13×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify166.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune7.0ms (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

Error

43.8b

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)))
8.7b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite77.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

43.8b

Rules

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

Counts

2 → 46

Calls

2 calls:

12.0ms	(.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))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series199.0ms (1.9%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

150.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
29.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 638 to 468 computations (26.6% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune60.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	3	63

Error

0.1b

Counts

63 → 3

Compiler

Compiled 1054 to 444 computations (57.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (sin.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))))

rewrite286.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_3510`
29×	`associate-r_binary64_3428`
24×	`add-exp-log_binary64_3526`
15×	`add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
12×	`prod-exp_binary64_3537` `associate--l+_binary64_3425` `unpow-prod-down_binary64_3567`
10×	`associate-l_binary64_3429` `unswap-sqr_binary64_3456`
9×	`pow1_binary64_3549`
6×	`cbrt-unprod_binary64_3521` `sub-neg_binary64_3481` `distribute-rgt-in_binary64_3438` `cancel-sign-sub-inv_binary64_3454` `distribute-lft-in_binary64_3437` `sqr-pow_binary64_3460`
4×	`add-log-exp_binary64_3527` `*-commutative_binary64_3419` `cube-prod_binary64_3516`
3×	`pow-prod-down_binary64_3559` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556`
2×	`associate-*r/_binary64_3430`
1×	`flip3--_binary64_3492` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518`

Counts

4 → 113

Calls

4 calls:

15.0ms	(.f64 (.f64 1/2 (sin.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))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
6.0ms	(*.f64 1/2520 (pow.f64 im 7))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series431.0ms (4%)

Error

0.1b

Counts

4 → 19

Calls

4 calls:

273.0ms	(.f64 (.f64 1/2 (sin.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))))
50.0ms	(*.f64 1/2520 (pow.f64 im 7))
46.0ms	(*.f64 1/60 (pow.f64 im 5))
38.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1355 to 1103 computations (18.6% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5175	2526

prune256.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	129	6	135

Error

0.0b

Counts

135 → 6

Compiler

Compiled 4394 to 3391 computations (22.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 im 5) 1/120)
0.1b	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
0.1b	(.f64 (sin.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
0.4b	(*.f64 (sin.f64 re) -1/6)

rewrite164.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
6.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
6.0ms	(*.f64 (pow.f64 im 5) 1/120)
5.0ms	(*.f64 (sin.f64 re) -1/6)

Compiler

Compiled 2432 to 1593 computations (34.5% saved)

series463.0ms (4.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

253.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
116.0ms	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
43.0ms	(*.f64 (pow.f64 im 5) 1/120)
24.0ms	(*.f64 (sin.f64 re) -1/6)

Compiler

Compiled 1388 to 1024 computations (26.2% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4963	1483
1	4963	1483

prune165.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Error

0.0b

Counts

124 → 9

Compiler

Compiled 3067 to 2047 computations (33.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))

rewrite123.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570`
6×	`add-exp-log_binary64_3526` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `unswap-sqr_binary64_3456`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`

Counts

4 → 73

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
2.0ms	(cbrt.f64 (sin.f64 re))
1.0ms	(cbrt.f64 (sin.f64 re))
1.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 2460 to 1110 computations (54.9% saved)

series324.0ms (3%)

Error

Counts

4 → 15

Calls

4 calls:

83.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
78.0ms	(cbrt.f64 (sin.f64 re))
73.0ms	(cbrt.f64 (sin.f64 re))
68.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 1286 to 881 computations (31.5% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4831	753
1	4831	753

prune125.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	88	9	97

Error

Counts

97 → 9

Compiler

Compiled 2679 to 1371 computations (48.8% saved)

regimes1.1s (10%)

Accuracy

Total 0.6b remaining (95.7%)

Threshold costs 0.6b (95.7%)

Compiler

Compiled 15556 to 12066 computations (22.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	39
1	104	39

end0.0ms (0%)

sample5.9s (55.9%)

Algorithm

1×

intervals

Results

1.7s	4152×	body	1024	valid
464.0ms	1931×	body	1024	invalid
406.0ms	1964×	body	512	valid
174.0ms	1006×	body	512	invalid
157.0ms	2487×	body	128	invalid
131.0ms	1017×	body	256	valid
119.0ms	217×	body	2048	valid
53.0ms	462×	body	256	invalid
41.0ms	650×	body	128	valid

Compiler

Compiled 2613 to 2030 computations (22.3% saved)

Details

analyze332.0ms (3.1%)

sample122.0ms (1.1%)

simplify166.0ms (1.6%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite77.0ms (0.7%)

series199.0ms (1.9%)

simplify71.0ms (0.7%)

prune60.0ms (0.6%)

localize18.0ms (0.2%)

rewrite286.0ms (2.7%)

series431.0ms (4%)

simplify60.0ms (0.6%)

prune256.0ms (2.4%)

localize13.0ms (0.1%)

rewrite164.0ms (1.5%)

series463.0ms (4.4%)

simplify59.0ms (0.6%)

prune165.0ms (1.5%)

localize17.0ms (0.2%)

rewrite123.0ms (1.2%)

series324.0ms (3%)

simplify79.0ms (0.7%)

prune125.0ms (1.2%)

regimes1.1s (10%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.9s (55.9%)

Profiling