Details

analyze344.0ms (5%)

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)

sample47.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	66×	body	1024	valid
9.0ms	139×	body	128	valid
6.0ms	35×	body	512	valid
2.0ms	15×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify10.0ms (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)

localize7.0ms (0.1%)

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))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

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

Compiler

Compiled 730 to 175 computations (76% saved)

series350.0ms (5.1%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

191.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
71.0ms	(*.f64 x (cos.f64 y))
67.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 918 to 588 computations (35.9% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4894	958
1	4894	958

prune68.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	9	84

Error

0.1b

Counts

84 → 9

Compiler

Compiled 1164 to 334 computations (71.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite68.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_6618`
10×	`add-sqr-sqrt_binary64_6579`
9×	`pow1/3_binary64_6639`
8×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
7×	`cbrt-prod_binary64_6588`
6×	`add-exp-log_binary64_6595`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
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` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series960.0ms (13.9%)

Error

0.1b

Counts

4 → 28

Calls

4 calls:

297.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
220.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
208.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
206.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2294 to 1335 computations (41.8% saved)

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4930	875
1	4930	875

prune84.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Error

0.1b

Counts

95 → 10

Compiler

Compiled 2169 to 485 computations (77.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.7b	(cbrt.f64 (sin.f64 y))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 (sin.f64 y) z))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`cbrt-prod_binary64_6588`
6×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
4×	`pow1/3_binary64_6639` `pow1_binary64_6618` `add-log-exp_binary64_6596` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`

Counts

4 → 40

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1112 to 235 computations (78.9% saved)

series603.0ms (8.7%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

228.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))
207.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
76.0ms	(cbrt.f64 z)
69.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1718 to 1016 computations (40.9% saved)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5049	515

prune65.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	60	11	71

Error

0.1b

Counts

71 → 11

Compiler

Compiled 1753 to 398 computations (77.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
7.5b	(cbrt.f64 (/.f64 (sin.f64 y) (/.f64 -1 z)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite162.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

66×	`times-frac_binary64_6563`
50×	`cbrt-prod_binary64_6588`
45×	`add-sqr-sqrt_binary64_6579`
43×	`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`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `div-inv_binary64_6554` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`cbrt-div_binary64_6589` `associate-/r/_binary64_6503` `pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488`

Counts

4 → 102

Calls

4 calls:

6.0ms	(cbrt.f64 (/.f64 (sin.f64 y) (/.f64 -1 z)))
6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 3663 to 1408 computations (61.6% saved)

series1.0s (14.9%)

Error

0.1b

Counts

4 → 28

Calls

4 calls:

301.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
252.0ms	(cbrt.f64 (/.f64 (sin.f64 y) (/.f64 -1 z)))
225.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
219.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2708 to 1843 computations (31.9% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4991	2058
1	4991	2058

prune162.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	130	11	141

Error

0.0b

Counts

141 → 11

Compiler

Compiled 4045 to 1602 computations (60.4% saved)

regimes267.0ms (3.9%)

Accuracy

Total 0.1b remaining (66.2%)

Threshold costs 0.1b (66.2%)

Compiler

Compiled 2868 to 1858 computations (35.2% 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%)

sample2.3s (32.6%)

Algorithm

1×

intervals

Results

535.0ms	1954×	body	1024	valid
316.0ms	4498×	body	128	valid
203.0ms	1035×	body	512	valid
66.0ms	507×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 730 to 476 computations (34.8% saved)

Details

analyze344.0ms (5%)

sample47.0ms (0.7%)

simplify10.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite51.0ms (0.7%)

series350.0ms (5.1%)

simplify78.0ms (1.1%)

prune68.0ms (1%)

localize12.0ms (0.2%)

rewrite68.0ms (1%)

series960.0ms (13.9%)

simplify85.0ms (1.2%)

prune84.0ms (1.2%)

localize18.0ms (0.3%)

rewrite52.0ms (0.8%)

series603.0ms (8.7%)

simplify32.0ms (0.5%)

prune65.0ms (0.9%)

localize17.0ms (0.3%)

rewrite162.0ms (2.3%)

series1.0s (14.9%)

simplify82.0ms (1.2%)

prune162.0ms (2.3%)

regimes267.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (32.6%)

Profiling