Details

analyze590.0ms (8.5%)

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)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	42×	body	1024	valid
9.0ms	164×	body	128	valid
6.0ms	37×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	19×	body	128	invalid
1.0ms	2×	body	512	invalid
0.0ms	1×	body	2048	valid

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

2.3b

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))
0.1b	(/.f64 (sin.f64 y) y)
2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite113.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_14763`
22×	`times-frac_binary64_14747`
21×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
19×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
13×	`associate-r_binary64_14681`
6×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `associate-/r*_binary64_14685`
5×	`pow1_binary64_14802`
4×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `associate-/l*_binary64_14686`
3×	`add-log-exp_binary64_14780` `div-inv_binary64_14738` `associate-l_binary64_14682`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-*r/_binary64_14683` `unswap-sqr_binary64_14709`
1×	`associate-/l/_binary64_14688` `pow-prod-down_binary64_14812` `*-commutative_binary64_14672`

Counts

3 → 83

Calls

3 calls:

8.0ms	(*.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)

series380.0ms (5.5%)

Error

0.1b

Counts

3 → 21

Calls

3 calls:

246.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
98.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
25.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 511 to 344 computations (32.7% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5060	1254

prune76.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	94	10	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Error

0.0b

Counts

105 → 10

Compiler

Compiled 1379 to 377 computations (72.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
2.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite278.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

159×	`times-frac_binary64_14747`
106×	`add-sqr-sqrt_binary64_14763`
94×	`*-un-lft-identity_binary64_14741`
92×	`add-cube-cbrt_binary64_14776`
64×	`add-exp-log_binary64_14779`
44×	`associate-r_binary64_14681`
34×	`add-cbrt-cube_binary64_14777`
30×	`div-exp_binary64_14792`
19×	`associate-/r*_binary64_14685`
14×	`prod-exp_binary64_14790` `cbrt-undiv_binary64_14775`
11×	`div-inv_binary64_14738`
7×	`pow1_binary64_14802` `associate-/l*_binary64_14686`
6×	`1-exp_binary64_14785` `rec-exp_binary64_14791` `cbrt-unprod_binary64_14774`
5×	`unswap-sqr_binary64_14709`
4×	`add-log-exp_binary64_14780`
3×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-l_binary64_14682`
2×	`un-div-inv_binary64_14739` `associate-/l/_binary64_14688` `associate-*r/_binary64_14683` `associate-/r/_binary64_14687`
1×	`inv-pow_binary64_14826` `pow-flip_binary64_14815` `pow-prod-down_binary64_14812` `*-commutative_binary64_14672`

Counts

4 → 207

Calls

4 calls:

18.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
16.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
12.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
5.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 3955 to 1710 computations (56.8% saved)

series416.0ms (6%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

222.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
104.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
46.0ms	(/.f64 y (sin.f64 y))
31.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 630 to 443 computations (29.7% saved)

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5043	3220

prune192.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	234	8	242

Error

0.0b

Counts

242 → 8

Compiler

Compiled 3524 to 1131 computations (67.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.4b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite126.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-exp-log_binary64_14779`
31×	`add-cbrt-cube_binary64_14777` `add-sqr-sqrt_binary64_14763`
28×	`times-frac_binary64_14747`
26×	`add-cube-cbrt_binary64_14776` `-un-lft-identity_binary64_14741` `associate-r*_binary64_14681`
22×	`prod-exp_binary64_14790`
12×	`div-exp_binary64_14792` `cbrt-unprod_binary64_14774`
10×	`pow1_binary64_14802`
7×	`cbrt-undiv_binary64_14775`
4×	`pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `associate-l*_binary64_14682`
3×	`1-exp_binary64_14785` `rec-exp_binary64_14791` `add-log-exp_binary64_14780` `div-inv_binary64_14738` `associate-/l_binary64_14686` `associate-/r_binary64_14685`
2×	`*-commutative_binary64_14672` `unswap-sqr_binary64_14709`
1×	`frac-times_binary64_14751` `un-div-inv_binary64_14739` `associate-*l/_binary64_14684` `frac-2neg_binary64_14752` `clear-num_binary64_14740`

Counts

3 → 105

Calls

3 calls:

12.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 1817 to 679 computations (62.6% saved)

series373.0ms (5.4%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

236.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
99.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
28.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 573 to 412 computations (28.1% saved)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4957	1571
1	4957	1571

prune88.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	126	8	134

Error

0.0b

Counts

134 → 8

Compiler

Compiled 1753 to 581 computations (66.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
0.3b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
2.3b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite171.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`times-frac_binary64_14747`
54×	`add-exp-log_binary64_14779`
44×	`add-sqr-sqrt_binary64_14763`
39×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
34×	`add-cbrt-cube_binary64_14777`
26×	`div-exp_binary64_14792`
14×	`cbrt-undiv_binary64_14775`
13×	`associate-r_binary64_14681`
12×	`associate-/r*_binary64_14685`
10×	`prod-exp_binary64_14790`
9×	`associate-/l*_binary64_14686`
8×	`div-inv_binary64_14738`
7×	`pow1_binary64_14802`
6×	`cbrt-unprod_binary64_14774` `associate-*r/_binary64_14683` `associate-/r/_binary64_14687`
4×	`add-log-exp_binary64_14780` `1-exp_binary64_14785` `rec-exp_binary64_14791`
3×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-l_binary64_14682`
2×	`unswap-sqr_binary64_14709`
1×	`inv-pow_binary64_14826` `pow-flip_binary64_14815` `pow-prod-down_binary64_14812` `*-commutative_binary64_14672`

Counts

4 → 147

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 2564 to 856 computations (66.6% saved)

series686.0ms (9.9%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

254.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
246.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
120.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
47.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 878 to 618 computations (29.6% saved)

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5022	2507

prune128.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	178	8	186

Error

Counts

186 → 8

Compiler

Compiled 2443 to 712 computations (70.9% saved)

regimes668.0ms (9.7%)

Accuracy

Total 0.4b remaining (99.4%)

Threshold costs 0.4b (99.4%)

Compiler

Compiled 3400 to 2308 computations (32.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	64
1	22	64

end0.0ms (0%)

sample2.1s (30.7%)

Algorithm

1×

intervals

Results

493.0ms	5424×	body	128	valid
348.0ms	1388×	body	1024	valid
128.0ms	756×	body	512	valid
53.0ms	425×	body	256	valid
45.0ms	554×	body	128	invalid
11.0ms	63×	body	512	invalid
7.0ms	59×	body	256	invalid
6.0ms	27×	body	1024	invalid
3.0ms	7×	body	2048	valid

Compiler

Compiled 579 to 385 computations (33.5% saved)

Details

analyze590.0ms (8.5%)

sample41.0ms (0.6%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite113.0ms (1.6%)

series380.0ms (5.5%)

simplify73.0ms (1.1%)

prune76.0ms (1.1%)

localize8.0ms (0.1%)

rewrite278.0ms (4%)

series416.0ms (6%)

simplify128.0ms (1.9%)

prune192.0ms (2.8%)

localize8.0ms (0.1%)

rewrite126.0ms (1.8%)

series373.0ms (5.4%)

simplify114.0ms (1.6%)

prune88.0ms (1.3%)

localize8.0ms (0.1%)

rewrite171.0ms (2.5%)

series686.0ms (9.9%)

simplify110.0ms (1.6%)

prune128.0ms (1.8%)

regimes668.0ms (9.7%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (30.7%)

Profiling