Details

analyze451.0ms (7.1%)

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample84.0ms (1.3%)

Algorithm

1×

intervals

Results

37.0ms	74×	body	1024	valid
17.0ms	139×	body	128	valid
10.0ms	28×	body	512	valid
3.0ms	14×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify167.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))
0.1b	(*.f64 x (sin.f64 y))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3851`
7×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
6×	`associate-r_binary64_3769` `associate-l_binary64_3770`
5×	`add-log-exp_binary64_3868`
2×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `flip-+_binary64_3803` `+-commutative_binary64_3759`

Counts

3 → 47

Calls

3 calls:

4.0ms	(*.f64 x (sin.f64 y))
4.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series200.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

103.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
54.0ms	(*.f64 x (sin.f64 y))
43.0ms	(*.f64 z (cos.f64 y))

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5087	625

prune72.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Error

0.0b

Counts

57 → 9

Compiler

Compiled 901 to 254 computations (71.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series487.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
131.0ms	(cbrt.f64 (cos.f64 y))
126.0ms	(cbrt.f64 (cos.f64 y))
79.0ms	(cbrt.f64 (cos.f64 y))

simplify124.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune137.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Error

0.0b

Counts

94 → 11

Compiler

Compiled 1972 to 576 computations (70.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite48.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_3867`
22×	`add-sqr-sqrt_binary64_3851`
19×	`unpow-prod-down_binary64_3908`
18×	`associate-r_binary64_3769`
16×	`prod-exp_binary64_3878`
13×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`add-cbrt-cube_binary64_3865`
9×	`pow-exp_binary64_3897`
7×	`pow1_binary64_3890` `cbrt-unprod_binary64_3862`
6×	`unswap-sqr_binary64_3797` `cbrt-prod_binary64_3860`
5×	`sqr-pow_binary64_3801` `pow-to-exp_binary64_3898`
4×	`add-log-exp_binary64_3868` `associate-l_binary64_3770`
3×	`unpow2_binary64_3894` `pow-unpow_binary64_3906`
2×	`unpow1/3_binary64_3896` `*-commutative_binary64_3760`
1×	`pow-prod-down_binary64_3900` `pow-pow_binary64_3901` `pow1/3_binary64_3911`

Counts

4 → 90

Calls

4 calls:

18.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
13.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series353.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
112.0ms	(cbrt.f64 (cos.f64 y))
58.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
28.0ms	(pow.f64 (cos.f64 y) 2)

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5027	984

prune166.0ms (2.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	101	12	113

Error

0.0b

Counts

113 → 12

Compiler

Compiled 2099 to 861 computations (59% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
0.6b	(pow.f64 (cos.f64 y) 6)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`unpow-prod-down_binary64_3908` `add-sqr-sqrt_binary64_3851`
20×	`cbrt-prod_binary64_3860`
14×	`add-cube-cbrt_binary64_3864` `-un-lft-identity_binary64_3829` `associate-r*_binary64_3769`
10×	`add-exp-log_binary64_3867`
7×	`add-cbrt-cube_binary64_3865`
6×	`unswap-sqr_binary64_3797` `sqr-pow_binary64_3801`
5×	`pow1_binary64_3890`
4×	`add-log-exp_binary64_3868`
3×	`prod-exp_binary64_3878` `pow-unpow_binary64_3906` `associate-l_binary64_3770`
2×	`pow-exp_binary64_3897` `pow1/3_binary64_3911` `pow-to-exp_binary64_3898` `cbrt-unprod_binary64_3862`
1×	`pow-pow_binary64_3901` `unpow1/3_binary64_3896` `*-commutative_binary64_3760`

Counts

4 → 79

Calls

4 calls:

9.0ms	(*.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3))
2.0ms	(pow.f64 (cos.f64 y) 6)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
1.0ms	(cbrt.f64 (cos.f64 y))

series357.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(*.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3))
136.0ms	(cbrt.f64 (cos.f64 y))
45.0ms	(pow.f64 (cos.f64 y) 6)
14.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))

simplify192.0ms (3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4774	897
1	4774	897

prune121.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	92	11	103

Error

0.0b

Counts

103 → 11

Compiler

Compiled 1914 to 869 computations (54.6% saved)

regimes309.0ms (4.8%)

Accuracy

Total 0.1b remaining (67.7%)

Threshold costs 0.1b (67.7%)

Compiler

Compiled 1932 to 1390 computations (28.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.8s (43.7%)

Algorithm

1×

intervals

Results

830.0ms	2035×	body	1024	valid
449.0ms	4492×	body	128	valid
274.0ms	940×	body	512	valid
106.0ms	523×	body	256	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 496 to 359 computations (27.6% saved)

Details

analyze451.0ms (7.1%)

sample84.0ms (1.3%)

simplify167.0ms (2.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite15.0ms (0.2%)

series200.0ms (3.1%)

simplify87.0ms (1.4%)

prune72.0ms (1.1%)

localize22.0ms (0.3%)

rewrite17.0ms (0.3%)

series487.0ms (7.6%)

simplify124.0ms (1.9%)

prune137.0ms (2.1%)

localize16.0ms (0.3%)

rewrite48.0ms (0.8%)

series353.0ms (5.5%)

simplify112.0ms (1.7%)

prune166.0ms (2.6%)

localize27.0ms (0.4%)

rewrite21.0ms (0.3%)

series357.0ms (5.6%)

simplify192.0ms (3%)

prune121.0ms (1.9%)

regimes309.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (43.7%)

Profiling