Details

analyze496.0ms (7.6%)

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)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	39×	body	1024	valid
9.0ms	175×	body	128	valid
4.0ms	27×	body	512	valid
2.0ms	15×	body	256	valid
1.0ms	21×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune2.0ms (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)

rewrite92.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_12717`
22×	`times-frac_binary64_12701`
21×	`add-cube-cbrt_binary64_12730` `*-un-lft-identity_binary64_12695`
19×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
13×	`associate-r_binary64_12635`
6×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `associate-/r*_binary64_12639`
5×	`pow1_binary64_12756`
4×	`prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `associate-/l*_binary64_12640`
3×	`add-log-exp_binary64_12734` `div-inv_binary64_12692` `associate-l_binary64_12636`
2×	`frac-2neg_binary64_12706` `clear-num_binary64_12694` `associate-*r/_binary64_12637` `unswap-sqr_binary64_12663`
1×	`associate-/l/_binary64_12642` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626`

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)

Compiler

Compiled 1235 to 325 computations (73.7% saved)

series360.0ms (5.5%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

202.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
109.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
31.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4949	1443
1	4949	1443

prune88.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Error

0.0b

Counts

111 → 8

Compiler

Compiled 1482 to 433 computations (70.8% saved)

localize7.0ms (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))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
2.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite252.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

159×	`times-frac_binary64_12701`
106×	`add-sqr-sqrt_binary64_12717`
94×	`*-un-lft-identity_binary64_12695`
92×	`add-cube-cbrt_binary64_12730`
64×	`add-exp-log_binary64_12733`
44×	`associate-r_binary64_12635`
34×	`add-cbrt-cube_binary64_12731`
30×	`div-exp_binary64_12746`
19×	`associate-/r*_binary64_12639`
14×	`prod-exp_binary64_12744` `cbrt-undiv_binary64_12729`
11×	`div-inv_binary64_12692`
7×	`pow1_binary64_12756` `associate-/l*_binary64_12640`
6×	`1-exp_binary64_12739` `rec-exp_binary64_12745` `cbrt-unprod_binary64_12728`
5×	`unswap-sqr_binary64_12663`
4×	`add-log-exp_binary64_12734`
3×	`frac-2neg_binary64_12706` `clear-num_binary64_12694` `associate-l_binary64_12636`
2×	`un-div-inv_binary64_12693` `associate-/l/_binary64_12642` `associate-*r/_binary64_12637` `associate-/r/_binary64_12641`
1×	`inv-pow_binary64_12780` `pow-flip_binary64_12769` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626`

Counts

4 → 207

Calls

4 calls:

17.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
12.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 3955 to 1710 computations (56.8% saved)

series431.0ms (6.6%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

224.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
112.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
42.0ms	(/.f64 y (sin.f64 y))
32.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 924 to 667 computations (27.8% saved)

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4965	3450
1	4965	3450

prune171.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	240	8	248

Error

0.0b

Counts

248 → 8

Compiler

Compiled 3714 to 1247 computations (66.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite277.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

480×	`times-frac_binary64_12701`
238×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717` `*-un-lft-identity_binary64_12695`
50×	`associate-/l*_binary64_12640`
23×	`div-inv_binary64_12692`
19×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731` `associate-/r*_binary64_12639`
10×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729`
5×	`associate-/r/_binary64_12641`
3×	`pow1_binary64_12756` `add-log-exp_binary64_12734` `frac-2neg_binary64_12706` `clear-num_binary64_12694`
1×	`associate-/l/_binary64_12642`

Counts

3 → 293

Calls

3 calls:

18.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
7.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 6084 to 1367 computations (77.5% saved)

series381.0ms (5.9%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

224.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
101.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
37.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify131.0ms (2%)

Algorithm

1×	egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5118	7627

prune432.0ms (6.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	319	1	320
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	319	9	328

Error

Counts

328 → 9

Compiler

Compiled 6003 to 1094 computations (81.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite91.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_12726`
23×	`add-sqr-sqrt_binary64_12717`
15×	`add-cube-cbrt_binary64_12730` `*-un-lft-identity_binary64_12695`
11×	`pow1_binary64_12756`
9×	`pow1/3_binary64_12777`
6×	`add-exp-log_binary64_12733` `swap-sqr_binary64_12662` `associate-l_binary64_12636` `associate-r_binary64_12635`
4×	`add-log-exp_binary64_12734` `add-cbrt-cube_binary64_12731` `unswap-sqr_binary64_12663`
2×	`pow-prod-down_binary64_12766` `pow-prod-up_binary64_12765` `pow-sqr_binary64_12668`
1×	`pow2_binary64_12776` `pow-plus_binary64_12758` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `*-commutative_binary64_12626`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2400 to 320 computations (86.7% saved)

series365.0ms (5.6%)

Error

Counts

4 → 12

Calls

4 calls:

104.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
85.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)

Compiler

Compiled 1095 to 501 computations (54.2% saved)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune81.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	85	9	94

Error

Counts

94 → 9

Compiler

Compiled 2593 to 373 computations (85.6% saved)

regimes563.0ms (8.6%)

Accuracy

Total 1.4b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 5346 to 3416 computations (36.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	46
1	18	46

end0.0ms (0%)

sample2.0s (30.2%)

Algorithm

1×

intervals

Results

291.0ms	5484×	body	128	valid
287.0ms	1303×	body	1024	valid
139.0ms	794×	body	512	valid
50.0ms	415×	body	256	valid
29.0ms	547×	body	128	invalid
9.0ms	64×	body	512	invalid
5.0ms	25×	body	1024	invalid
5.0ms	50×	body	256	invalid
1.0ms	4×	body	2048	valid

Compiler

Compiled 860 to 550 computations (36% saved)

Details

analyze496.0ms (7.6%)

sample40.0ms (0.6%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite92.0ms (1.4%)

series360.0ms (5.5%)

simplify74.0ms (1.1%)

prune88.0ms (1.3%)

localize7.0ms (0.1%)

rewrite252.0ms (3.9%)

series431.0ms (6.6%)

simplify99.0ms (1.5%)

prune171.0ms (2.6%)

localize7.0ms (0.1%)

rewrite277.0ms (4.2%)

series381.0ms (5.9%)

simplify131.0ms (2%)

prune432.0ms (6.6%)

localize15.0ms (0.2%)

rewrite91.0ms (1.4%)

series365.0ms (5.6%)

simplify82.0ms (1.3%)

prune81.0ms (1.2%)

regimes563.0ms (8.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (30.2%)

Profiling