Details

analyze420.0ms (8.8%)

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
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

sample44.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	169×	body	80	valid
11.0ms	37×	body	1280	valid
5.0ms	24×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	16×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	2×	body	320	invalid
0.0ms	1×	body	160	invalid

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	67	8
1	67	8

prune6.0ms (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

Merged error: 2.1b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
2.1b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `*-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

series40.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
15.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4952	739
1	4952	739

prune111.0ms (2.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
2.0b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

480×	`times-frac_binary64`
238×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
60×	`associate-/r*_binary64`
23×	`div-inv_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 293

Calls

3 calls:

12.0ms	(/.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)

series46.0ms (1%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
17.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5253	4565

prune274.0ms (5.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	302	8	310

Merged error: 0b

Counts

310 → 8

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.7b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))))

rewrite345.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Rules

2232×	`times-frac_binary64`
1095×	`add-sqr-sqrt_binary64`
1056×	`cbrt-prod_binary64`
948×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
740×	`associate-r_binary64`
282×	`add-exp-log_binary64`
138×	`cbrt-undiv_binary64` `div-exp_binary64`
134×	`add-cbrt-cube_binary64`
96×	`cbrt-unprod_binary64` `prod-exp_binary64`
36×	`unswap-sqr_binary64`
24×	`div-inv_binary64`
9×	`associate-l_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 918

Calls

4 calls:

229.0ms	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series94.0ms (2%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))))
19.0ms	(cbrt.f64 (sin.f64 y))
19.0ms	(cbrt.f64 (sin.f64 y))
18.0ms	(cbrt.f64 (sin.f64 y))

simplify188.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

930 → 930

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5007	34075

prune1.1s (24.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	930	0	930
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	930	8	938

Merged error: 0b

Counts

938 → 8

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b	(/.f64 (sin.f64 y) y)
2.1b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
43×	`associate-r_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 162

Calls

3 calls:

14.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
7.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)

series37.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
9.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
5.0ms	(/.f64 (sin.f64 y) y)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4974	1831
1	4974	1831

prune146.0ms (3.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	171	8	179

Merged error: 0b

Counts

179 → 8

regimes343.0ms (7.2%)

Accuracy

Total 0.8b remaining (96.2%)

Threshold costs 0.8b (96.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	44
1	26	44

end0.0ms (0%)

sample1.2s (24.7%)

Algorithm

1×

intervals

Results

312.0ms	985×	body	1280	valid
267.0ms	5246×	body	80	valid
222.0ms	1027×	body	640	valid
71.0ms	485×	body	320	valid
32.0ms	537×	body	80	invalid
27.0ms	257×	body	160	valid
9.0ms	43×	body	640	invalid
7.0ms	50×	body	320	invalid
4.0ms	38×	body	160	invalid
4.0ms	12×	body	1280	invalid

Details

analyze420.0ms (8.8%)

sample44.0ms (0.9%)

simplify6.0ms (0.1%)

prune6.0ms (0.1%)

localize7.0ms (0.2%)

rewrite20.0ms (0.4%)

series40.0ms (0.8%)

simplify57.0ms (1.2%)

prune111.0ms (2.3%)

localize7.0ms (0.2%)

rewrite38.0ms (0.8%)

series46.0ms (1%)

simplify79.0ms (1.6%)

prune274.0ms (5.7%)

localize21.0ms (0.4%)

rewrite345.0ms (7.2%)

series94.0ms (2%)

simplify188.0ms (3.9%)

prune1.1s (24.1%)

localize7.0ms (0.1%)

rewrite32.0ms (0.7%)

series37.0ms (0.8%)

simplify71.0ms (1.5%)

prune146.0ms (3.1%)

regimes343.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (24.7%)

Profiling