Details

analyze267.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	46
1	94	46
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
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample31.0ms (1%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	18×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune4.0ms (0.1%)

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

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_3169`
14×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
9×	`times-frac_binary64_3153`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`pow1_binary64_3208` `div-sub_binary64_3152` `add-log-exp_binary64_3186`
4×	`associate-+r-_binary64_3081`
3×	`acos-asin_binary64_3328` `distribute-frac-neg_binary64_3110` `acos-neg_binary64_3330` `associate-r_binary64_3087` `associate-/r_binary64_3091` `associate-/l_binary64_3092` `associate-l_binary64_3088`
2×	`cos-diff_binary64_3284`
1×	`*-commutative_binary64_3078` `cos-sum_binary64_3281` `unswap-sqr_binary64_3115` `clear-num_binary64_3146` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `+-commutative_binary64_3077` `prod-exp_binary64_3196` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series107.0ms (3.5%)

Counts

4 → 10

Calls

4 calls:

70.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
23.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
13.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify104.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5185	1420

prune84.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	3	81

Error

0.9b

Counts

81 → 3

Compiler

Compiled 1593 to 943 computations (40.8% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
9×	`times-frac_binary64_3153`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
3×	`associate-/r_binary64_3091` `associate-/l_binary64_3092`
2×	`acos-asin_binary64_3328` `pow1_binary64_3208` `div-sub_binary64_3152` `add-log-exp_binary64_3186`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `cos-diff_binary64_3284` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144`

Counts

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series58.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
12.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify144.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune46.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	43	2	45

Error

Counts

45 → 2

Compiler

Compiled 767 to 507 computations (33.9% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
0.0b	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
0.0b	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

rewrite57.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_3153`
155×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
144×	`sqrt-prod_binary64_3163`
25×	`associate-/l*_binary64_3092`
12×	`associate-/r*_binary64_3091`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`div-inv_binary64_3144`
5×	`div-sub_binary64_3152`
4×	`cbrt-undiv_binary64_3181` `div-exp_binary64_3198`
3×	`acos-asin_binary64_3328` `pow1_binary64_3208` `add-log-exp_binary64_3186`
2×	`clear-num_binary64_3146` `frac-2neg_binary64_3158`
1×	`associate-/l/_binary64_3094` `cos-diff_binary64_3284`

Counts

3 → 224

Calls

3 calls:

12.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
12.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
5.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series150.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
45.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
25.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify134.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4947	6116
1	4947	6116

prune326.0ms (10.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	233	2	235

Error

Counts

235 → 2

Compiler

Compiled 5849 to 3927 computations (32.9% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
1.0b	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_3169`
4×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182`
3×	`associate-r_binary64_3087` `associate-l_binary64_3088`
2×	`add-log-exp_binary64_3186`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`

Counts

2 → 25

Calls

2 calls:

4.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
3.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))

series55.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
13.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4776	379
1	4776	379

prune25.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Error

Counts

33 → 2

Compiler

Compiled 499 to 334 computations (33.1% saved)

regimes221.0ms (7.2%)

Accuracy

Total 0.0b remaining (99.1%)

Threshold costs 0.0b (99.1%)

Compiler

Compiled 1737 to 1745 computations (-0.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample1.1s (36.2%)

Algorithm

1×

intervals

Results

641.0ms	8000×	body	128	valid
37.0ms	566×	body	128	nan

Compiler

Compiled 182 to 184 computations (-1.1% saved)

Details

analyze267.0ms (8.7%)

sample31.0ms (1%)

simplify9.0ms (0.3%)

prune4.0ms (0.1%)

localize16.0ms (0.5%)

rewrite27.0ms (0.9%)

series107.0ms (3.5%)

simplify104.0ms (3.4%)

prune84.0ms (2.7%)

localize10.0ms (0.3%)

rewrite9.0ms (0.3%)

series58.0ms (1.9%)

simplify144.0ms (4.7%)

prune46.0ms (1.5%)

localize12.0ms (0.4%)

rewrite57.0ms (1.8%)

series150.0ms (4.9%)

simplify134.0ms (4.4%)

prune326.0ms (10.6%)

localize10.0ms (0.3%)

rewrite10.0ms (0.3%)

series55.0ms (1.8%)

simplify53.0ms (1.7%)

prune25.0ms (0.8%)

regimes221.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (36.2%)

Profiling