Details

analyze610.0ms (7.4%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
37.4%	62.4%	0.1%	6
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14
89.3%	10.5%	0.1%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample198.0ms (2.4%)

Algorithm

2×

intervals

Results

38.0ms	129×	body	1024	valid
19.0ms	297×	body	128	valid
10.0ms	55×	body	512	valid
4.0ms	30×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 2589 to 3104 computations (-19.9% 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

prune7.0ms (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)

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_6238`
7×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
6×	`associate-l_binary64_6157` `associate-r_binary64_6156`
5×	`add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147`
1×	`sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

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)

series550.0ms (6.7%)

Error

0.1b

Counts

3 → 35

Calls

3 calls:

317.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
105.0ms	(*.f64 z (sin.f64 y))
101.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 886 to 569 computations (35.8% saved)

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4820	927
1	4820	927

prune80.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Error

0.0b

Counts

83 → 7

Compiler

Compiled 1118 to 299 computations (73.3% saved)

localize11.0ms (0.1%)

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))

rewrite92.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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)

series540.0ms (6.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

174.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
117.0ms	(cbrt.f64 (cos.f64 y))
111.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1212 to 763 computations (37% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4915	928
1	4915	928

prune119.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Error

0.0b

Counts

104 → 9

Compiler

Compiled 2187 to 653 computations (70.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite103.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series558.0ms (6.8%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

159.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
130.0ms	(cbrt.f64 (sin.f64 y))
128.0ms	(cbrt.f64 (sin.f64 y))
119.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1222 to 800 computations (34.5% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4914	873
1	4914	873

prune110.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	93	9	102

Error

0.0b

Counts

102 → 9

Compiler

Compiled 2070 to 595 computations (71.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite85.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_6277`
10×	`add-sqr-sqrt_binary64_6238`
9×	`pow1/3_binary64_6298`
8×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
7×	`cbrt-prod_binary64_6247`
6×	`add-exp-log_binary64_6254`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147`

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)

series1.6s (19.7%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

513.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
358.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
353.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
347.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2810 to 1644 computations (41.5% saved)

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4893	945
1	4893	945

prune98.0ms (1.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	89	10	99

Error

0.0b

Counts

99 → 10

Compiler

Compiled 2114 to 426 computations (79.8% saved)

regimes487.0ms (5.9%)

Accuracy

Total 0.1b remaining (86.2%)

Threshold costs 0.1b (86.2%)

Compiler

Compiled 4264 to 2966 computations (30.4% 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%)

sample2.5s (29.9%)

Algorithm

1×

intervals

Results

566.0ms	2072×	body	1024	valid
308.0ms	4467×	body	128	valid
184.0ms	949×	body	512	valid
67.0ms	508×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 1079 to 753 computations (30.2% saved)

Details

analyze610.0ms (7.4%)

sample198.0ms (2.4%)

simplify7.0ms (0.1%)

prune7.0ms (0.1%)

localize8.0ms (0.1%)

rewrite65.0ms (0.8%)

series550.0ms (6.7%)

simplify119.0ms (1.4%)

prune80.0ms (1%)

localize11.0ms (0.1%)

rewrite92.0ms (1.1%)

series540.0ms (6.6%)

simplify95.0ms (1.1%)

prune119.0ms (1.4%)

localize12.0ms (0.1%)

rewrite103.0ms (1.2%)

series558.0ms (6.8%)

simplify62.0ms (0.8%)

prune110.0ms (1.3%)

localize12.0ms (0.1%)

rewrite85.0ms (1%)

series1.6s (19.7%)

simplify123.0ms (1.5%)

prune98.0ms (1.2%)

regimes487.0ms (5.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (29.9%)

Profiling