Details

analyze169.0ms (6%)

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 (1.1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	17×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify165.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	23
1	50	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

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.4%)

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 (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1469`
14×	`add-cube-cbrt_binary64_1482` `*-un-lft-identity_binary64_1447`
9×	`times-frac_binary64_1453`
8×	`add-cbrt-cube_binary64_1483` `add-exp-log_binary64_1485`
6×	`pow1_binary64_1508` `div-sub_binary64_1452` `add-log-exp_binary64_1486`
4×	`associate-+r-_binary64_1381`
3×	`associate-r_binary64_1387` `acos-asin_binary64_1628` `associate-l_binary64_1388` `associate-/r_binary64_1391` `associate-/l_binary64_1392` `distribute-frac-neg_binary64_1410` `acos-neg_binary64_1630`
2×	`cos-diff_binary64_1584`
1×	`frac-2neg_binary64_1458` `flip3-+_binary64_1450` `prod-exp_binary64_1496` `cbrt-unprod_binary64_1480` `clear-num_binary64_1446` `cos-sum_binary64_1581` `pow-prod-down_binary64_1518` `*-commutative_binary64_1378` `unswap-sqr_binary64_1415` `cbrt-undiv_binary64_1481` `sum-log_binary64_1538` `div-inv_binary64_1444` `flip-+_binary64_1421` `+-commutative_binary64_1377` `div-exp_binary64_1498`

Counts

4 → 70

Calls

4 calls:

8.0ms	(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)

series189.0ms (6.6%)

Counts

4 → 10

Calls

4 calls:

126.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
39.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
23.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify92.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5181	1420

prune86.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Merged error: 0.9b

Counts

81 → 2

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×	`add-cube-cbrt_binary64_1482` `add-sqr-sqrt_binary64_1469` `*-un-lft-identity_binary64_1447`
9×	`times-frac_binary64_1453`
4×	`add-cbrt-cube_binary64_1483` `add-exp-log_binary64_1485`
3×	`associate-/r_binary64_1391` `associate-/l_binary64_1392`
2×	`acos-asin_binary64_1628` `pow1_binary64_1508` `div-sub_binary64_1452` `add-log-exp_binary64_1486`
1×	`frac-2neg_binary64_1458` `clear-num_binary64_1446` `cbrt-undiv_binary64_1481` `div-inv_binary64_1444` `cos-diff_binary64_1584` `div-exp_binary64_1498`

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))

series89.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

71.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
18.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify139.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune46.0ms (1.6%)

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	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 772 to 512 computations (33.7% saved)

localize17.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b

(cos.f64 (*.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))

0.0b

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_1469`
51×	`times-frac_binary64_1453`
50×	`add-exp-log_binary64_1485`
36×	`*-un-lft-identity_binary64_1447`
33×	`add-cube-cbrt_binary64_1482`
24×	`cbrt-prod_binary64_1478`
22×	`associate-r_binary64_1387`
20×	`prod-exp_binary64_1496`
18×	`add-cbrt-cube_binary64_1483`
16×	`div-exp_binary64_1498`
9×	`unswap-sqr_binary64_1415`
8×	`cbrt-unprod_binary64_1480` `cbrt-undiv_binary64_1481`
7×	`associate-l_binary64_1388`
6×	`associate-/r*_binary64_1391`
5×	`pow1_binary64_1508`
4×	`rec-exp_binary64_1497` `1-exp_binary64_1491`
3×	`associate-/l*_binary64_1392` `div-inv_binary64_1444` `add-log-exp_binary64_1486`
1×	`acos-asin_binary64_1628` `frac-2neg_binary64_1458` `clear-num_binary64_1446` `pow-prod-down_binary64_1518` `-commutative_binary64_1378` `frac-times_binary64_1457` `associate-r/_binary64_1389` `div-sub_binary64_1452` `associate-*l/_binary64_1390`

Counts

3 → 117

Calls

3 calls:

19.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

5.0ms

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

2.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

series274.0ms (9.6%)

Counts

3 → 9

Calls

3 calls:

143.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

83.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

47.0ms

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

simplify100.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5016	2497

prune166.0ms (5.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Merged error: 0b

Counts

128 → 2

Compiler

Compiled 3120 to 2294 computations (26.5% 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)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1469`
4×	`add-cbrt-cube_binary64_1483` `pow1_binary64_1508` `add-cube-cbrt_binary64_1482` `add-exp-log_binary64_1485` `*-un-lft-identity_binary64_1447`
3×	`associate-r_binary64_1387` `associate-l_binary64_1388`
2×	`add-log-exp_binary64_1486`
1×	`prod-exp_binary64_1496` `cbrt-unprod_binary64_1480` `pow-prod-down_binary64_1518` `*-commutative_binary64_1378` `unswap-sqr_binary64_1415`

Counts

2 → 25

Calls

2 calls:

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

series95.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

76.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
19.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4776	379
1	4776	379

prune26.0ms (0.9%)

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

Merged error: 0b

Counts

33 → 2

Compiler

Compiled 499 to 334 computations (33.1% saved)

regimes19.0ms (0.7%)

Compiler: Compiled 70 to 74 computations (-5.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample967.0ms (34%)

Algorithm

1×

intervals

Results

656.0ms	8000×	body	128	valid
37.0ms	585×	body	128	nan

Compiler

Compiled 69 to 71 computations (-2.9% saved)

Details

analyze169.0ms (6%)

sample30.0ms (1.1%)

simplify165.0ms (5.8%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite28.0ms (1%)

series189.0ms (6.6%)

simplify92.0ms (3.2%)

prune86.0ms (3%)

localize10.0ms (0.3%)

rewrite9.0ms (0.3%)

series89.0ms (3.1%)

simplify139.0ms (4.9%)

prune46.0ms (1.6%)

localize17.0ms (0.6%)

rewrite39.0ms (1.4%)

series274.0ms (9.6%)

simplify100.0ms (3.5%)

prune166.0ms (5.9%)

localize10.0ms (0.3%)

rewrite8.0ms (0.3%)

series95.0ms (3.4%)

simplify50.0ms (1.8%)

prune26.0ms (0.9%)

regimes19.0ms (0.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample967.0ms (34%)

Profiling