Details

analyze372.0ms (6.2%)

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)

sample50.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	65×	body	1024	valid
9.0ms	144×	body	128	valid
6.0ms	18×	body	256	valid
5.0ms	28×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (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))

rewrite60.0ms (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:

5.0ms	(*.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))

Compiler

Compiled 730 to 175 computations (76% saved)

series372.0ms (6.2%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

201.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
78.0ms	(*.f64 x (sin.f64 y))
70.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 836 to 533 computations (36.2% saved)

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4874	905
1	4874	905

prune74.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	70	11	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	11	82

Error

0.0b

Counts

82 → 11

Compiler

Compiled 1154 to 329 computations (71.5% saved)

localize12.0ms (0.2%)

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

rewrite91.0ms (1.5%)

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:

10.0ms	(*.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))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series282.0ms (4.7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

76.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
68.0ms	(cbrt.f64 (cos.f64 y))
63.0ms	(cbrt.f64 (cos.f64 y))
61.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune88.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	88	11	99

Error

0.0b

Counts

99 → 11

Compiler

Compiled 1943 to 546 computations (71.9% saved)

localize15.0ms (0.3%)

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	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite112.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`pow1_binary64_6618` `associate-r_binary64_6497`
6×	`cbrt-prod_binary64_6588` `cbrt-unprod_binary64_6590`
5×	`pow-exp_binary64_6625`
4×	`add-log-exp_binary64_6596` `associate-l_binary64_6498`
3×	`unpow-prod-down_binary64_6636` `pow-unpow_binary64_6634` `pow-to-exp_binary64_6626`
2×	`pow-prod-down_binary64_6628` `*-commutative_binary64_6488`
1×	`pow1/3_binary64_6639` `pow-pow_binary64_6629` `unpow2_binary64_6622` `sqr-pow_binary64_6529` `unpow1/3_binary64_6624` `unswap-sqr_binary64_6525`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
7.0ms	(*.f64 x (sin.f64 y))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1641 to 746 computations (54.5% saved)

series266.0ms (4.4%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

83.0ms	(*.f64 x (sin.f64 y))
72.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
68.0ms	(cbrt.f64 (cos.f64 y))
21.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1031 to 722 computations (30% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4910	797
1	4910	797

prune98.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	95	11	106

Error

0.0b

Counts

106 → 11

Compiler

Compiled 1855 to 796 computations (57.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite122.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-exp-log_binary64_6595`
15×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
14×	`log-pow_binary64_6646`
12×	`exp-prod_binary64_6609`
11×	`add-cbrt-cube_binary64_6593` `prod-exp_binary64_6606`
10×	`associate-r_binary64_6497`
9×	`pow1_binary64_6618` `cbrt-prod_binary64_6588` `log-prod_binary64_6643`
5×	`pow-exp_binary64_6625` `cbrt-unprod_binary64_6590`
4×	`add-log-exp_binary64_6596`
3×	`unpow-prod-down_binary64_6636` `pow-unpow_binary64_6634` `pow-to-exp_binary64_6626` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506`
1×	`pow1/3_binary64_6639` `pow-pow_binary64_6629` `unpow2_binary64_6622` `sqr-pow_binary64_6529` `pow-prod-down_binary64_6628` `unpow1/3_binary64_6624` `associate-l_binary64_6498` `*-commutative_binary64_6488` `rem-log-exp_binary64_6598`

Counts

4 → 82

Calls

4 calls:

12.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
3.0ms	(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 2169 to 892 computations (58.9% saved)

series761.0ms (12.7%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

538.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
117.0ms	(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
67.0ms	(cbrt.f64 (cos.f64 y))
22.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 924 to 700 computations (24.2% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5017	972

prune94.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	98	12	110

Error

0.0b

Counts

110 → 12

Compiler

Compiled 1914 to 701 computations (63.4% saved)

regimes368.0ms (6.1%)

Accuracy

Total 0.1b remaining (79.5%)

Threshold costs 0.1b (79.5%)

Compiler

Compiled 3456 to 2430 computations (29.7% 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%)

sample2.4s (39.4%)

Algorithm

1×

intervals

Results

540.0ms	1982×	body	1024	valid
320.0ms	4520×	body	128	valid
212.0ms	1022×	body	512	valid
66.0ms	471×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 877 to 619 computations (29.4% saved)

Details

analyze372.0ms (6.2%)

sample50.0ms (0.8%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite60.0ms (1%)

series372.0ms (6.2%)

simplify99.0ms (1.6%)

prune74.0ms (1.2%)

localize12.0ms (0.2%)

rewrite91.0ms (1.5%)

series282.0ms (4.7%)

simplify93.0ms (1.6%)

prune88.0ms (1.5%)

localize15.0ms (0.3%)

rewrite112.0ms (1.9%)

series266.0ms (4.4%)

simplify81.0ms (1.4%)

prune98.0ms (1.6%)

localize18.0ms (0.3%)

rewrite122.0ms (2%)

series761.0ms (12.7%)

simplify84.0ms (1.4%)

prune94.0ms (1.6%)

regimes368.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (39.4%)

Profiling