Details

analyze621.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	56
0	3	3
1	3	3

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample80.0ms (0.9%)

Algorithm

1×

intervals

Results

27.0ms	55×	body	1024	valid
17.0ms	151×	body	128	valid
12.0ms	35×	body	512	valid
4.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune10.0ms (0.1%)

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)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite102.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_6579`
7×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
6×	`associate-l_binary64_6498` `associate-r_binary64_6497`
5×	`add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488`
1×	`sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487`

Counts

3 → 47

Calls

3 calls:

8.0ms	(*.f64 z (sin.f64 y))
7.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 730 to 175 computations (76% saved)

series610.0ms (6.7%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

345.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
125.0ms	(*.f64 z (sin.f64 y))
104.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 804 to 513 computations (36.2% saved)

simplify159.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	5078	874

prune126.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	71	9	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	9	81

Error

0.0b

Counts

81 → 9

Compiler

Compiled 1097 to 291 computations (73.5% saved)

localize23.0ms (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))

rewrite150.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series469.0ms (5.1%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

123.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
112.0ms	(cbrt.f64 (cos.f64 y))
109.0ms	(cbrt.f64 (cos.f64 y))
101.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify169.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune154.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	86	11	97

Error

0.0b

Counts

97 → 11

Compiler

Compiled 1953 to 548 computations (71.9% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite228.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-exp-log_binary64_6595`
22×	`add-sqr-sqrt_binary64_6579`
19×	`unpow-prod-down_binary64_6636`
18×	`associate-r_binary64_6497`
16×	`prod-exp_binary64_6606`
13×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`add-cbrt-cube_binary64_6593`
9×	`pow-exp_binary64_6625`
7×	`pow1_binary64_6618` `cbrt-unprod_binary64_6590`
6×	`cbrt-prod_binary64_6588` `unswap-sqr_binary64_6525`
5×	`pow-to-exp_binary64_6626` `sqr-pow_binary64_6529`
4×	`add-log-exp_binary64_6596` `associate-l_binary64_6498`
3×	`pow-unpow_binary64_6634` `unpow2_binary64_6622`
2×	`unpow1/3_binary64_6624` `*-commutative_binary64_6488`
1×	`pow1/3_binary64_6639` `pow-pow_binary64_6629` `pow-prod-down_binary64_6628`

Counts

4 → 90

Calls

4 calls:

18.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
15.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
4.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 2148 to 1014 computations (52.8% saved)

series661.0ms (7.3%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

379.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
113.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
109.0ms	(cbrt.f64 (cos.f64 y))
33.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 845 to 595 computations (29.6% saved)

simplify111.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4901	1019
1	4901	1019

prune177.0ms (1.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	110	11	121

Error

0.0b

Counts

121 → 11

Compiler

Compiled 2111 to 830 computations (60.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)

rewrite135.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_6588`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
9×	`unpow-prod-down_binary64_6636`
5×	`pow1_binary64_6618` `add-exp-log_binary64_6595`
4×	`pow1/3_binary64_6639` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593`
3×	`pow-unpow_binary64_6634`
2×	`pow-pow_binary64_6629`
1×	`pow-to-exp_binary64_6626` `pow-exp_binary64_6625` `sqr-pow_binary64_6529`

Counts

4 → 57

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1580 to 504 computations (68.1% saved)

series556.0ms (6.1%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

192.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)
115.0ms	(cbrt.f64 (cos.f64 y))
112.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1027 to 656 computations (36.1% saved)

simplify129.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4921	728
1	4921	728

prune132.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	73	11	84

Error

0.0b

Counts

84 → 11

Compiler

Compiled 1857 to 627 computations (66.2% saved)

regimes499.0ms (5.5%)

Accuracy

Total 0.1b remaining (78.2%)

Threshold costs 0.1b (78.2%)

Compiler

Compiled 2740 to 1842 computations (32.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample3.7s (40.8%)

Algorithm

1×

intervals

Results

1.0s	2052×	body	1024	valid
518.0ms	4391×	body	128	valid
358.0ms	1031×	body	512	valid
119.0ms	524×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 698 to 472 computations (32.4% saved)

Details

analyze621.0ms (6.8%)

sample80.0ms (0.9%)

simplify13.0ms (0.1%)

prune10.0ms (0.1%)

localize17.0ms (0.2%)

rewrite102.0ms (1.1%)

series610.0ms (6.7%)

simplify159.0ms (1.7%)

prune126.0ms (1.4%)

localize23.0ms (0.3%)

rewrite150.0ms (1.6%)

series469.0ms (5.1%)

simplify169.0ms (1.9%)

prune154.0ms (1.7%)

localize28.0ms (0.3%)

rewrite228.0ms (2.5%)

series661.0ms (7.3%)

simplify111.0ms (1.2%)

prune177.0ms (1.9%)

localize32.0ms (0.3%)

rewrite135.0ms (1.5%)

series556.0ms (6.1%)

simplify129.0ms (1.4%)

prune132.0ms (1.4%)

regimes499.0ms (5.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.7s (40.8%)

Profiling