Details

analyze354.0ms (9.5%)

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)

sample32.0ms (0.9%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
2.0ms	23×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune6.0ms (0.2%)

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)

localize13.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1464`
14×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`times-frac_binary64_1448`
8×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `div-sub_binary64_1447`
4×	`associate-+r-_binary64_1376`
3×	`associate-r_binary64_1382` `acos-asin_binary64_1623` `associate-/r_binary64_1386` `associate-/l_binary64_1387` `associate-l_binary64_1383` `distribute-frac-neg_binary64_1405` `acos-neg_binary64_1625`
2×	`cos-diff_binary64_1579`
1×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `cos-sum_binary64_1576` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`

Counts

4 → 70

Calls

8 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms	(+.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)
0.0ms	(acos.f64 (/.f64 (neg.f64 g) h))

series263.0ms (7.1%)

Counts

4 → 18

Calls

4 calls:

149.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
69.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
45.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 540 to 540 computations (0% saved)

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5183	1544

prune90.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

1.0b

Counts

89 → 2

Compiler

Compiled 1691 to 993 computations (41.3% saved)

localize10.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`times-frac_binary64_1448`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
3×	`acos-asin_binary64_1623` `associate-/r_binary64_1386` `associate-/l_binary64_1387` `add-log-exp_binary64_1481` `pow1_binary64_1503`
2×	`div-sub_binary64_1447`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `cos-diff_binary64_1579` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

3 → 44

Calls

6 calls:

4.0ms	(/.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))
0.0ms	(acos.f64 (/.f64 g h))
0.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

series165.0ms (4.4%)

Counts

3 → 18

Calls

3 calls:

102.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
41.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
22.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 432 to 432 computations (0% saved)

simplify147.0ms (4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4749	815
1	4749	815

prune68.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	62	2	64

Error

Counts

64 → 2

Compiler

Compiled 1029 to 669 computations (35% saved)

localize14.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-prod_binary64_1473`
45×	`times-frac_binary64_1448`
42×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
18×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
15×	`associate-/l*_binary64_1387`
7×	`add-exp-log_binary64_1480`
6×	`add-cbrt-cube_binary64_1478` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508`
5×	`pow1_binary64_1503`
4×	`add-log-exp_binary64_1481`
3×	`associate-/r*_binary64_1386` `pow-unpow_binary64_1519`
1×	`cbrt-undiv_binary64_1476` `pow-exp_binary64_1510` `div-inv_binary64_1439` `clear-num_binary64_1441` `rem-cube-cbrt_binary64_1465` `frac-2neg_binary64_1453` `pow1/3_binary64_1524` `div-exp_binary64_1493` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514`

Counts

4 → 126

Calls

8 calls:

7.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
6.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))
2.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)
0.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))

series241.0ms (6.5%)

Counts

4 → 24

Calls

4 calls:

102.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
79.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)
40.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
19.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 612 to 612 computations (0% saved)

simplify92.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4944	2286
1	4944	2286

prune154.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	150	2	152

Error

Counts

152 → 2

Compiler

Compiled 2857 to 1874 computations (34.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	173	174
1	173	174

regimes228.0ms (6.2%)

Compiler: Compiled 1436 to 1540 computations (-7.2% saved)

bsearch0.0ms (0%)

regimes192.0ms (5.2%)

Compiler: Compiled 1022 to 1126 computations (-10.2% saved)

bsearch0.0ms (0%)

regimes181.0ms (4.9%)

Compiler: Compiled 914 to 1018 computations (-11.4% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.5%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch0.0ms (0%)

regimes14.0ms (0.4%)

Accuracy

Total 0.0b remaining (90.7%)

Threshold costs 0.0b (90.7%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 37 to 43 computations (-16.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	57
1	26	57

end0.0ms (0%)

sample1.2s (31.2%)

Algorithm

1×

intervals

Results

640.0ms	8000×	body	128	valid
33.0ms	507×	body	128	nan

Compiler

Compiled 165 to 179 computations (-8.5% saved)

Pareto

0.4802022318838258

Details

analyze354.0ms (9.5%)

sample32.0ms (0.9%)

simplify94.0ms (2.5%)

prune6.0ms (0.2%)

localize13.0ms (0.3%)

rewrite26.0ms (0.7%)

series263.0ms (7.1%)

simplify96.0ms (2.6%)

prune90.0ms (2.4%)

localize10.0ms (0.3%)

rewrite10.0ms (0.3%)

series165.0ms (4.4%)

simplify147.0ms (4%)

prune68.0ms (1.8%)

localize14.0ms (0.4%)

rewrite30.0ms (0.8%)

series241.0ms (6.5%)

simplify92.0ms (2.5%)

prune154.0ms (4.2%)

simplify6.0ms (0.2%)

regimes228.0ms (6.2%)

bsearch0.0ms (0%)

regimes192.0ms (5.2%)

bsearch0.0ms (0%)

regimes181.0ms (4.9%)

bsearch0.0ms (0%)

regimes17.0ms (0.5%)

bsearch0.0ms (0%)

regimes14.0ms (0.4%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (31.2%)

Profiling