Details

analyze323.0ms (4.1%)

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
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)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	56×	body	1024	valid
13.0ms	152×	body	128	valid
7.0ms	29×	body	512	valid
3.0ms	18×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify115.0ms (1.5%)

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

rewrite65.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_4874`
7×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
6×	`associate-l_binary64_4793` `associate-r_binary64_4792`
5×	`add-log-exp_binary64_4891`
2×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`
1×	`sum-log_binary64_4943` `flip3-+_binary64_4855` `flip-+_binary64_4826` `+-commutative_binary64_4782`

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 730 to 175 computations (76% saved)

series434.0ms (5.5%)

Error

0.1b

Counts

3 → 32

Calls

3 calls:

263.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
74.0ms	(*.f64 z (sin.f64 y))
63.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 748 to 475 computations (36.5% saved)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4888	852
1	4888	852

prune77.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	9	80

Error

0.0b

Counts

80 → 9

Compiler

Compiled 1074 to 279 computations (74% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.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))

rewrite84.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`pow1/3_binary64_4934`
6×	`add-exp-log_binary64_4890` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `unswap-sqr_binary64_4820`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `*-commutative_binary64_4783`

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))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series324.0ms (4.1%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

89.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
82.0ms	(cbrt.f64 (cos.f64 y))
74.0ms	(cbrt.f64 (cos.f64 y))
66.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune96.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Error

0.0b

Counts

98 → 9

Compiler

Compiled 1949 to 541 computations (72.2% saved)

localize16.0ms (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))))
8.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_4913`
10×	`add-sqr-sqrt_binary64_4874`
9×	`pow1/3_binary64_4934`
8×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
7×	`cbrt-prod_binary64_4883`
6×	`add-exp-log_binary64_4890`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
5.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
4.0ms	(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)

series1.1s (14.4%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

365.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
262.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
253.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
238.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2294 to 1335 computations (41.8% saved)

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4930	875
1	4930	875

prune99.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	85	10	95

Error

0.0b

Counts

95 → 10

Compiler

Compiled 2169 to 481 computations (77.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 (sin.f64 y) z))
8.1b	(cbrt.f64 (*.f64 (sin.f64 y) z))
8.1b	(cbrt.f64 (*.f64 (sin.f64 y) z))

rewrite105.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4×	`pow1/3_binary64_4934` `pow1_binary64_4913` `add-log-exp_binary64_4891` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `cbrt-prod_binary64_4883` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`

Counts

4 → 36

Calls

4 calls:

5.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))
4.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
4.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))

Compiler

Compiled 1516 to 203 computations (86.6% saved)

series1.4s (17.4%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

523.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))
274.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))
274.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
271.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))

Compiler

Compiled 3512 to 1577 computations (55.1% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5027	632

prune83.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	63	11	74

Error

Counts

74 → 11

Compiler

Compiled 2544 to 286 computations (88.8% saved)

regimes357.0ms (4.5%)

Accuracy

Total 0.1b remaining (77.3%)

Threshold costs 0.1b (77.3%)

Compiler

Compiled 3084 to 2030 computations (34.2% 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%)

sample2.7s (33.5%)

Algorithm

1×

intervals

Results

702.0ms	1973×	body	1024	valid
400.0ms	4525×	body	128	valid
233.0ms	1001×	body	512	valid
80.0ms	494×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 784 to 519 computations (33.8% saved)

Details

analyze323.0ms (4.1%)

sample59.0ms (0.7%)

simplify115.0ms (1.5%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite65.0ms (0.8%)

series434.0ms (5.5%)

simplify115.0ms (1.4%)

prune77.0ms (1%)

localize13.0ms (0.2%)

rewrite84.0ms (1.1%)

series324.0ms (4.1%)

simplify89.0ms (1.1%)

prune96.0ms (1.2%)

localize16.0ms (0.2%)

rewrite78.0ms (1%)

series1.1s (14.4%)

simplify107.0ms (1.4%)

prune99.0ms (1.2%)

localize19.0ms (0.2%)

rewrite105.0ms (1.3%)

series1.4s (17.4%)

simplify75.0ms (0.9%)

prune83.0ms (1%)

regimes357.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (33.5%)

Profiling