Details

analyze336.0ms (3%)

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

58.0ms	140×	body	1024	valid
16.0ms	68×	body	1024	invalid
13.0ms	62×	body	512	valid
6.0ms	34×	body	512	invalid
5.0ms	73×	body	128	invalid
4.0ms	7×	body	2048	valid
4.0ms	26×	body	256	valid
2.0ms	14×	body	256	invalid
1.0ms	21×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify163.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

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

43.1b

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)))
5.3b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
9×	`cancel-sign-sub-inv_binary64_3113`
7×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
6×	`add-cube-cbrt_binary64_3182`
5×	`associate-r_binary64_3087`
4×	`distribute-lft-in_binary64_3096` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`
3×	`pow-prod-down_binary64_3218` `sub-neg_binary64_3140` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
2×	`flip--_binary64_3122` `flip3--_binary64_3151` `distribute-lft-out--_binary64_3099` `difference-of-squares_binary64_3116` `associate-*r/_binary64_3089`
1×	`-commutative_binary64_3078` `diff-log_binary64_3239` `associate-l*_binary64_3088`

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))

series217.0ms (1.9%)

Counts

2 → 18

Calls

2 calls:

187.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
30.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 450 to 365 computations (18.9% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5044	1298

prune79.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

0.1b

Counts

65 → 2

Compiler

Compiled 1130 to 504 computations (55.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_3185`
23×	`add-sqr-sqrt_binary64_3169`
21×	`associate-l_binary64_3088`
15×	`add-cbrt-cube_binary64_3183`
14×	`-un-lft-identity_binary64_3147` `associate-r*_binary64_3087` `prod-exp_binary64_3196` `add-cube-cbrt_binary64_3182`
8×	`pow1_binary64_3208`
7×	`unpow-prod-down_binary64_3226`
6×	`cbrt-unprod_binary64_3180`
5×	`unswap-sqr_binary64_3115`
4×	`*-commutative_binary64_3078` `add-log-exp_binary64_3186`
3×	`pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `cube-prod_binary64_3175` `sqr-pow_binary64_3119`
2×	`pow-prod-down_binary64_3218` `associate-*r/_binary64_3089`
1×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `distribute-lft-in_binary64_3096` `cube-mult_binary64_3177` `distribute-rgt-in_binary64_3097` `unpow3_binary64_3213`

Counts

4 → 94

Calls

4 calls:

7.0ms	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
6.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))
6.0ms	(*.f64 1/120 (pow.f64 im 5))
5.0ms	(*.f64 (sin.f64 re) -1/6)

series468.0ms (4.2%)

Counts

4 → 30

Calls

4 calls:

256.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))
137.0ms	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
42.0ms	(*.f64 1/120 (pow.f64 im 5))
32.0ms	(*.f64 (sin.f64 re) -1/6)

Compiler

Compiled 1061 to 839 computations (20.9% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4992	1731
1	4992	1731

prune176.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	9	126

Error

0.0b

Counts

126 → 9

Compiler

Compiled 3213 to 2137 computations (33.5% saved)

localize17.0ms (0.1%)

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))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.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))

series376.0ms (3.3%)

Counts

4 → 24

Calls

4 calls:

105.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
99.0ms	(cbrt.f64 (sin.f64 re))
89.0ms	(cbrt.f64 (sin.f64 re))
82.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 1088 to 816 computations (25% saved)

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4866	1020
1	4866	1020

prune152.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Error

0.0b

Counts

106 → 8

Compiler

Compiled 3274 to 1768 computations (46% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (*.f64 1/120 (pow.f64 im 5))))))
14.9b	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
14.9b	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
14.9b	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3089`
18×	`cbrt-div_binary64_3179`
11×	`pow1_binary64_3208`
10×	`add-sqr-sqrt_binary64_3169`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
8×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
7×	`cbrt-prod_binary64_3178`
6×	`add-exp-log_binary64_3185`
4×	`frac-times_binary64_3157` `add-cbrt-cube_binary64_3183` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`pow-prod-down_binary64_3218` `associate-*l/_binary64_3090` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (*.f64 1/120 (pow.f64 im 5))))))
5.0ms	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
5.0ms	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
5.0ms	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))

series2.9s (25.9%)

Counts

4 → 40

Calls

4 calls:

1.1s	(.f64 (cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (*.f64 1/120 (pow.f64 im 5))))))
619.0ms	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
608.0ms	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
605.0ms	(cbrt.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))

Compiler

Compiled 7119 to 5473 computations (23.1% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4938	8516
1	4938	8516

prune592.0ms (5.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	111	9	120

Error

0.0b

Counts

120 → 9

Compiler

Compiled 9198 to 6622 computations (28% saved)

regimes512.0ms (4.5%)

Accuracy

Total 0.7b remaining (94.8%)

Threshold costs 0.7b (94.8%)

Compiler

Compiled 6305 to 4726 computations (25% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	29
1	79	29

end0.0ms (0%)

sample4.6s (41.3%)

Algorithm

1×

intervals

Results

1.6s	4032×	body	1024	valid
482.0ms	1956×	body	1024	invalid
476.0ms	2125×	body	512	valid
177.0ms	1010×	body	512	invalid
169.0ms	2520×	body	128	invalid
146.0ms	1026×	body	256	valid
117.0ms	204×	body	2048	valid
60.0ms	470×	body	256	invalid
45.0ms	613×	body	128	valid

Compiler

Compiled 1060 to 790 computations (25.5% saved)

Details

analyze336.0ms (3%)

sample122.0ms (1.1%)

simplify163.0ms (1.4%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite21.0ms (0.2%)

series217.0ms (1.9%)

simplify75.0ms (0.7%)

prune79.0ms (0.7%)

localize13.0ms (0.1%)

rewrite32.0ms (0.3%)

series468.0ms (4.2%)

simplify64.0ms (0.6%)

prune176.0ms (1.6%)

localize17.0ms (0.1%)

rewrite19.0ms (0.2%)

series376.0ms (3.3%)

simplify89.0ms (0.8%)

prune152.0ms (1.4%)

localize20.0ms (0.2%)

rewrite32.0ms (0.3%)

series2.9s (25.9%)

simplify107.0ms (1%)

prune592.0ms (5.3%)

regimes512.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (41.3%)

Profiling