Details

analyze704.0ms (9.1%)

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
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)

sample81.0ms (1%)

Algorithm

1×

intervals

Results

29.0ms	56×	body	1024	valid
18.0ms	144×	body	128	valid
13.0ms	36×	body	512	valid
5.0ms	20×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune4.0ms (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)

localize16.0ms (0.2%)

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))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series617.0ms (8%)

Counts

3 → 34

Calls

3 calls:

362.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
134.0ms	(*.f64 x (sin.f64 y))
121.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 510 to 454 computations (11% saved)

simplify178.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4874	905
1	4874	905

prune128.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Error

0.1b

Counts

82 → 10

Compiler

Compiled 1130 to 319 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))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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×	`associate-r_binary64_6497` `add-exp-log_binary64_6595` `associate-l_binary64_6498` `swap-sqr_binary64_6524`
4×	`add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525` `add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.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))

series519.0ms (6.7%)

Counts

4 → 16

Calls

4 calls:

165.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
127.0ms	(cbrt.f64 (cos.f64 y))
116.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 548 to 413 computations (24.6% saved)

simplify141.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune156.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	88	11	99

Error

0.1b

Counts

99 → 11

Compiler

Compiled 1960 to 553 computations (71.8% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

19.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
9.0ms	(*.f64 x (sin.f64 y))
5.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series434.0ms (5.6%)

Counts

4 → 24

Calls

4 calls:

149.0ms	(*.f64 x (sin.f64 y))
124.0ms	(cbrt.f64 (cos.f64 y))
117.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
45.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 673 to 567 computations (15.8% saved)

simplify119.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4910	804
1	4910	804

prune182.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	95	12	107

Error

0.0b

Counts

107 → 12

Compiler

Compiled 1892 to 822 computations (56.6% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
0.7b	(pow.f64 (cos.f64 y) 6)

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_6595`
13×	`cbrt-prod_binary64_6588`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
8×	`add-cbrt-cube_binary64_6593`
7×	`pow1_binary64_6618` `prod-exp_binary64_6606`
6×	`associate-r_binary64_6497` `unpow-prod-down_binary64_6636`
5×	`cbrt-unprod_binary64_6590`
4×	`add-log-exp_binary64_6596`
3×	`pow-unpow_binary64_6634`
2×	`pow-exp_binary64_6625` `sqr-pow_binary64_6529` `pow1/3_binary64_6639` `pow-to-exp_binary64_6626`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `pow-pow_binary64_6629` `unpow1/3_binary64_6624` `associate-l*_binary64_6498`

Counts

4 → 66

Calls

4 calls:

20.0ms	(.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(pow.f64 (cos.f64 y) 6)
4.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
2.0ms	(cbrt.f64 (cos.f64 y))

series395.0ms (5.1%)

Counts

4 → 19

Calls

4 calls:

136.0ms	(.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
120.0ms	(cbrt.f64 (cos.f64 y))
90.0ms	(pow.f64 (cos.f64 y) 6)
49.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))

Compiler

Compiled 533 to 463 computations (13.1% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4887	694
1	4887	694

prune128.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	85	12	97

Error

0.0b

Counts

97 → 12

Compiler

Compiled 1534 to 643 computations (58.1% saved)

regimes362.0ms (4.7%)

Accuracy

Total 0.1b remaining (74.9%)

Threshold costs 0.1b (74.9%)

Compiler

Compiled 1696 to 1266 computations (25.4% 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%)

sample3.2s (41.6%)

Algorithm

1×

intervals

Results

1.0s	2049×	body	1024	valid
495.0ms	4401×	body	128	valid
346.0ms	1037×	body	512	valid
114.0ms	507×	body	256	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 437 to 328 computations (24.9% saved)

Details

analyze704.0ms (9.1%)

sample81.0ms (1%)

simplify19.0ms (0.2%)

prune4.0ms (0.1%)

localize16.0ms (0.2%)

rewrite29.0ms (0.4%)

series617.0ms (8%)

simplify178.0ms (2.3%)

prune128.0ms (1.7%)

localize22.0ms (0.3%)

rewrite32.0ms (0.4%)

series519.0ms (6.7%)

simplify141.0ms (1.8%)

prune156.0ms (2%)

localize33.0ms (0.4%)

rewrite46.0ms (0.6%)

series434.0ms (5.6%)

simplify119.0ms (1.5%)

prune182.0ms (2.3%)

localize30.0ms (0.4%)

rewrite41.0ms (0.5%)

series395.0ms (5.1%)

simplify100.0ms (1.3%)

prune128.0ms (1.7%)

regimes362.0ms (4.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.2s (41.6%)

Profiling