Details

analyze490.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	48
1	235	48
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
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	174×	body	128	valid
8.0ms	42×	body	1024	valid
4.0ms	24×	body	512	valid
2.0ms	16×	body	256	valid
1.0ms	20×	body	128	invalid
0.0ms	3×	body	512	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

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

3.3b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.2b	(/.f64 (sin.f64 y) y)
3.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite85.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_11012`
22×	`times-frac_binary64_10996`
21×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
19×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
13×	`associate-r_binary64_10930`
6×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `associate-/r*_binary64_10934`
5×	`pow1_binary64_11051`
4×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `associate-/l*_binary64_10935`
3×	`add-log-exp_binary64_11029` `div-inv_binary64_10987` `associate-l_binary64_10931`
2×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-*r/_binary64_10932` `unswap-sqr_binary64_10958`
1×	`associate-/l/_binary64_10937` `pow-prod-down_binary64_11061` `*-commutative_binary64_10921`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 1235 to 325 computations (73.7% saved)

series346.0ms (3.7%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

203.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
97.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
29.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4949	1443
1	4949	1443

prune79.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	10	111

Error

0.0b

Counts

111 → 10

Compiler

Compiled 1495 to 442 computations (70.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.2b	(/.f64 (sin.f64 y) y)
3.2b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite281.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

480×	`times-frac_binary64_10996`
238×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
60×	`associate-/r*_binary64_10934`
23×	`div-inv_binary64_10987`
19×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
10×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
9×	`associate-/l*_binary64_10935`
6×	`associate-/r/_binary64_10936`
3×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `frac-2neg_binary64_11001` `clear-num_binary64_10989`

Counts

3 → 293

Calls

3 calls:

13.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
6.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 6084 to 1368 computations (77.5% saved)

series361.0ms (3.8%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

200.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
115.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
31.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify140.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4978	7674
1	4978	7674

prune226.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	317	3	320
Fresh	6	2	8
Picked	0	1	1
Done	1	0	1
Total	324	6	330

Error

Counts

330 → 6

Compiler

Compiled 5874 to 994 computations (83.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (sin.f64 y) (/.f64 x z))
6.2b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_11012`
16×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
13×	`times-frac_binary64_10996` `associate-r_binary64_10930`
12×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
5×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
4×	`pow1_binary64_11051` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
3×	`associate-/r_binary64_10934` `associate-l*_binary64_10931`
2×	`add-log-exp_binary64_11029` `div-inv_binary64_10987` `associate-*r/_binary64_10932` `unswap-sqr_binary64_10958`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l/_binary64_10937` `associate-/l_binary64_10935` `pow-prod-down_binary64_11061` `-commutative_binary64_10921`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 (sin.f64 y) (/.f64 x z))
7.0ms	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)

Compiler

Compiled 835 to 218 computations (73.9% saved)

series387.0ms (4.1%)

Error

Counts

2 → 24

Calls

2 calls:

215.0ms	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
157.0ms	(*.f64 (sin.f64 y) (/.f64 x z))

Compiler

Compiled 704 to 448 computations (36.4% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4962	1121
1	4962	1121

prune48.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	80	6	86

Error

Counts

86 → 6

Compiler

Compiled 1046 to 279 computations (73.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.0b	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 (sin.f64 y) (cbrt.f64 y))))
4.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (/.f64 z (/.f64 (sin.f64 y) (cbrt.f64 y)))))

rewrite1.6s (16.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

2458×	`times-frac_binary64_10996`
1163×	`add-sqr-sqrt_binary64_11012`
1100×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
798×	`cbrt-prod_binary64_11021`
431×	`associate-r_binary64_10930`
115×	`add-exp-log_binary64_11028`
71×	`associate-/r*_binary64_10934`
59×	`add-cbrt-cube_binary64_11026`
55×	`div-inv_binary64_10987`
52×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
36×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
18×	`unswap-sqr_binary64_10958`
15×	`associate-/r/_binary64_10936`
6×	`pow1_binary64_11051` `associate-/l*_binary64_10935`
5×	`associate-l_binary64_10931`
4×	`add-log-exp_binary64_11029`
2×	`pow1/3_binary64_11072`
1×	`pow-prod-down_binary64_11061` `frac-times_binary64_11000` `associate-l/_binary64_10933` `associate-r/_binary64_10932` `*-commutative_binary64_10921` `frac-2neg_binary64_11001` `clear-num_binary64_10989`

Counts

4 → 1048

Calls

4 calls:

140.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (/.f64 z (/.f64 (sin.f64 y) (cbrt.f64 y)))))
24.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 (sin.f64 y) (cbrt.f64 y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 41888 to 5813 computations (86.1% saved)

series912.0ms (9.7%)

Error

Counts

4 → 28

Calls

4 calls:

465.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 (sin.f64 y) (cbrt.f64 y))))
270.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (/.f64 z (/.f64 (sin.f64 y) (cbrt.f64 y)))))
79.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 1643 to 1002 computations (39% saved)

simplify465.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1076 → 1076

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4969	40505
1	4969	40505

prune1.2s (12.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1076	0	1076
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	1076	6	1082

Error

Counts

1082 → 6

Compiler

Compiled 38399 to 5914 computations (84.6% saved)

regimes576.0ms (6.1%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Compiler

Compiled 4499 to 2952 computations (34.4% saved)

bsearch49.0ms (0.5%)

Steps

Iters	Range		Point
9	1.3767720879764118e+28	5.109465372516809e+37	2.9264429568850526e+28
7	-2.3584424796102134e+44	-1.4550156569142727e+43	-1.7493114275944274e+44

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	38
1	21	38

end0.0ms (0%)

sample1.9s (20.3%)

Algorithm

1×

intervals

Results

443.0ms	1463×	body	1024	valid
262.0ms	5328×	body	128	valid
126.0ms	803×	body	512	valid
44.0ms	405×	body	256	valid
28.0ms	563×	body	128	invalid
7.0ms	49×	body	512	invalid
4.0ms	46×	body	256	invalid
4.0ms	19×	body	1024	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 772 to 507 computations (34.3% saved)

Details

analyze490.0ms (5.2%)

sample36.0ms (0.4%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite85.0ms (0.9%)

series346.0ms (3.7%)

simplify74.0ms (0.8%)

prune79.0ms (0.8%)

localize6.0ms (0.1%)

rewrite281.0ms (3%)

series361.0ms (3.8%)

simplify140.0ms (1.5%)

prune226.0ms (2.4%)

localize7.0ms (0.1%)

rewrite53.0ms (0.6%)

series387.0ms (4.1%)

simplify68.0ms (0.7%)

prune48.0ms (0.5%)

localize15.0ms (0.2%)

rewrite1.6s (16.8%)

series912.0ms (9.7%)

simplify465.0ms (4.9%)

prune1.2s (12.8%)

regimes576.0ms (6.1%)

bsearch49.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (20.3%)

Profiling