Details

analyze217.0ms (3.4%)

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
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)

sample122.0ms (1.9%)

Algorithm

1×

intervals

Results

38.0ms	256×	body	128	valid
2.0ms	17×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify168.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune7.0ms (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)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite159.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2828`
14×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`times-frac_binary64_2812`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `div-sub_binary64_2811`
4×	`associate-+r-_binary64_2740`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746` `distribute-frac-neg_binary64_2769` `acos-neg_binary64_2989` `acos-asin_binary64_2987` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
2×	`cos-diff_binary64_2943`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `cos-sum_binary64_2940` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

4 → 70

Calls

4 calls:

20.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
12.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
9.0ms	(*.f64 PI.f64 2/3)
6.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1595 to 940 computations (41.1% saved)

series343.0ms (5.4%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

196.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
83.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
48.0ms	(/.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)

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5183	1544

prune104.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	2	89

Error

1.0b

Counts

89 → 2

Compiler

Compiled 1705 to 1013 computations (40.6% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite62.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
9×	`times-frac_binary64_2812`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`associate-/l_binary64_2751` `associate-/r_binary64_2750`
2×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `acos-asin_binary64_2987` `div-sub_binary64_2811`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `cos-diff_binary64_2943`

Counts

2 → 36

Calls

2 calls:

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

Compiler

Compiled 727 to 465 computations (36% saved)

series204.0ms (3.2%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

145.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
49.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify182.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune76.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 839 to 555 computations (33.8% saved)

localize11.0ms (0.2%)

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))

rewrite636.0ms (10%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`times-frac_binary64_2812`
155×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
144×	`sqrt-prod_binary64_2822`
25×	`associate-/l*_binary64_2751`
12×	`associate-/r*_binary64_2750`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`div-inv_binary64_2803`
5×	`div-sub_binary64_2811`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
3×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `acos-asin_binary64_2987`
2×	`frac-2neg_binary64_2817` `clear-num_binary64_2805`
1×	`associate-/l/_binary64_2753` `cos-diff_binary64_2943`

Counts

3 → 224

Calls

3 calls:

15.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
14.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
5.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

Compiler

Compiled 6762 to 4814 computations (28.8% saved)

series531.0ms (8.3%)

Error

Counts

3 → 18

Calls

3 calls:

272.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
136.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
100.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

Compiler

Compiled 828 to 760 computations (8.2% saved)

simplify191.0ms (3%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4947	6209
1	4947	6209

prune461.0ms (7.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	242	2	244

Error

Counts

244 → 2

Compiler

Compiled 5969 to 4009 computations (32.8% saved)

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_2828`
4×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`add-log-exp_binary64_2845`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

2 → 25

Calls

2 calls:

4.0ms	(*.f64 1/3 (acos.f64 (/.f64 g h)))
2.0ms	(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))

Compiler

Compiled 469 to 304 computations (35.2% saved)

series211.0ms (3.3%)

Error

Counts

2 → 12

Calls

2 calls:

137.0ms	(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))
65.0ms	(*.f64 1/3 (acos.f64 (/.f64 g h)))

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4872	439
1	4872	439

prune44.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 571 to 382 computations (33.1% saved)

regimes604.0ms (9.5%)

Accuracy

Total 0.0b remaining (98.7%)

Threshold costs 0.0b (98.7%)

Compiler

Compiled 4741 to 4465 computations (5.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample1.8s (27.4%)

Algorithm

1×

intervals

Results

710.0ms	8000×	body	128	valid
41.0ms	518×	body	128	nan

Compiler

Compiled 461 to 435 computations (5.6% saved)

Details

analyze217.0ms (3.4%)

sample122.0ms (1.9%)

simplify168.0ms (2.6%)

prune7.0ms (0.1%)

localize22.0ms (0.3%)

rewrite159.0ms (2.5%)

series343.0ms (5.4%)

simplify117.0ms (1.8%)

prune104.0ms (1.6%)

localize12.0ms (0.2%)

rewrite62.0ms (1%)

series204.0ms (3.2%)

simplify182.0ms (2.8%)

prune76.0ms (1.2%)

localize11.0ms (0.2%)

rewrite636.0ms (10%)

series531.0ms (8.3%)

simplify191.0ms (3%)

prune461.0ms (7.2%)

localize20.0ms (0.3%)

rewrite34.0ms (0.5%)

series211.0ms (3.3%)

simplify92.0ms (1.4%)

prune44.0ms (0.7%)

regimes604.0ms (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (27.4%)

Profiling