Details

analyze160.0ms (5%)

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)

sample30.0ms (0.9%)

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)

simplify106.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	23
3	48	23
4	52	23
5	55	23
6	66	23
7	65	23
8	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)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.9b	(/.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 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(*.f64 PI.f64 2/3)

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2146`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
8×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `div-sub_binary64_2129`
4×	`associate-+r-_binary64_2058`
3×	`acos-neg_binary64_2307` `associate-/l_binary64_2069` `acos-asin_binary64_2305` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r_binary64_2064` `distribute-frac-neg_binary64_2087`
2×	`cos-diff_binary64_2261`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `cos-sum_binary64_2258` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

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))
5.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series261.0ms (8.2%)

Counts

4 → 18

Calls

4 calls:

141.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
72.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
47.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 540 to 540 computations (0% saved)

simplify109.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	150	1689
1	271	1611
2	550	1608
3	1141	1564
4	2589	1558
5	4130	1544
6	4499	1544
7	5183	1544

prune92.0ms (2.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.9b

Counts

89 → 1

Compiler

Compiled 1691 to 993 computations (41.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130` `*-un-lft-identity_binary64_2124`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `acos-asin_binary64_2305` `pow1_binary64_2185` `add-log-exp_binary64_2163` `div-sub_binary64_2129` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

1 → 28

Calls

1 calls:

3.0ms

(/.f64 (acos.f64 (/.f64 g h)) 3)

series40.0ms (1.3%)

Counts

1 → 6

Calls

1 calls:

40.0ms

(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 144 to 144 computations (0% saved)

simplify140.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	533
1	100	495
2	168	495
3	263	495
4	532	495
5	1001	495
6	1663	495
7	3232	495
8	4074	495
9	4471	495
10	4583	495
11	4842	495
12	4997	495
13	4673	495

prune33.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Compiler

Compiled 609 to 397 computations (34.8% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
0.0b	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64_2146`
51×	`times-frac_binary64_2130`
49×	`add-exp-log_binary64_2162`
35×	`*-un-lft-identity_binary64_2124`
32×	`add-cube-cbrt_binary64_2159`
24×	`cbrt-prod_binary64_2155`
22×	`associate-r_binary64_2064`
20×	`prod-exp_binary64_2173`
17×	`add-cbrt-cube_binary64_2160`
16×	`div-exp_binary64_2175`
9×	`unswap-sqr_binary64_2092`
8×	`cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157`
7×	`associate-l_binary64_2065`
6×	`associate-/r*_binary64_2068`
4×	`pow1_binary64_2185` `1-exp_binary64_2168` `rec-exp_binary64_2174`
3×	`associate-/l*_binary64_2069` `div-inv_binary64_2121`
2×	`add-log-exp_binary64_2163`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `-commutative_binary64_2055` `acos-asin_binary64_2305` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `frac-times_binary64_2134` `div-sub_binary64_2129` `frac-2neg_binary64_2135`

Counts

2 → 110

Calls

2 calls:

18.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
7.0ms	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

series511.0ms (16.1%)

Counts

2 → 12

Calls

2 calls:

416.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
95.0ms	(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

Compiler

Compiled 432 to 432 computations (0% saved)

simplify102.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	3291
1	362	2422
2	1204	2417
3	2986	2417
4	3430	2417
5	4151	2417
6	4681	2417
7	4998	2417

prune160.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	2	124

Error

Counts

124 → 2

Compiler

Compiled 3029 to 2232 computations (26.3% saved)

regimes232.0ms (7.3%)

Accuracy

Total 0.0b remaining (92.3%)

Threshold costs 0.0b (92.3%)

Compiler

Compiled 2372 to 2146 computations (9.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	25	31
2	30	31
3	34	31
4	38	31
5	41	31
6	42	31
7	41	31

end0.0ms (0%)

sample1.1s (34.3%)

Algorithm

1×

intervals

Results

624.0ms	8000×	body	128	valid
34.0ms	552×	body	128	nan

Compiler

Compiled 230 to 214 computations (7% saved)

Details

analyze160.0ms (5%)

sample30.0ms (0.9%)

simplify106.0ms (3.3%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite28.0ms (0.9%)

series261.0ms (8.2%)

simplify109.0ms (3.4%)

prune92.0ms (2.9%)

localize9.0ms (0.3%)

rewrite5.0ms (0.2%)

series40.0ms (1.3%)

simplify140.0ms (4.4%)

prune33.0ms (1.1%)

localize14.0ms (0.4%)

rewrite37.0ms (1.2%)

series511.0ms (16.1%)

simplify102.0ms (3.2%)

prune160.0ms (5%)

regimes232.0ms (7.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (34.3%)

Profiling