Details

analyze319.0ms (5.8%)

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)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	16×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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)

localize12.0ms (0.2%)

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)

rewrite124.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
7.0ms	(cos.f64 (+.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)

Compiler

Compiled 1595 to 940 computations (41.1% saved)

series401.0ms (7.2%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

211.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
107.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
65.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5183	1544

prune109.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Error

1.0b

Counts

89 → 3

Compiler

Compiled 1750 to 1046 computations (40.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite72.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 44

Calls

3 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 866 to 542 computations (37.4% saved)

series262.0ms (4.7%)

Error

1.0b

Counts

3 → 18

Calls

3 calls:

161.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
64.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
22.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 648 to 580 computations (10.5% saved)

simplify135.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4749	815
1	4749	815

prune72.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	63	2	65

Error

Counts

65 → 2

Compiler

Compiled 1030 to 670 computations (35% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite542.0ms (9.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 232

Calls

4 calls:

12.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
11.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
1.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 6933 to 4923 computations (29% saved)

series660.0ms (11.9%)

Error

Counts

4 → 24

Calls

4 calls:

291.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
200.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
119.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
28.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 1116 to 1024 computations (8.2% saved)

simplify124.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4947	6323
1	4947	6323

prune399.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	256	2	258

Error

Counts

258 → 2

Compiler

Compiled 6216 to 4173 computations (32.9% saved)

regimes573.0ms (10.4%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 6032 to 5204 computations (13.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample1.6s (28.4%)

Algorithm

1×

intervals

Results

645.0ms	8000×	body	128	valid
48.0ms	593×	body	128	nan

Compiler

Compiled 597 to 515 computations (13.7% saved)

Details

analyze319.0ms (5.8%)

sample32.0ms (0.6%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite124.0ms (2.2%)

series401.0ms (7.2%)

simplify94.0ms (1.7%)

prune109.0ms (2%)

localize10.0ms (0.2%)

rewrite72.0ms (1.3%)

series262.0ms (4.7%)

simplify135.0ms (2.4%)

prune72.0ms (1.3%)

localize12.0ms (0.2%)

rewrite542.0ms (9.8%)

series660.0ms (11.9%)

simplify124.0ms (2.2%)

prune399.0ms (7.2%)

regimes573.0ms (10.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (28.4%)

Profiling