Details

analyze104.0ms (1.6%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify161.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

4.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
3.7b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_16093` `add-cbrt-cube_binary64_16091`
13×	`add-sqr-sqrt_binary64_16077`
12×	`flip3--_binary64_16059` `flip--_binary64_16030`
11×	`*-un-lft-identity_binary64_16055`
8×	`associate-/l/_binary64_16002` `frac-times_binary64_16065`
6×	`add-cube-cbrt_binary64_16090` `cancel-sign-sub-inv_binary64_16021` `associate-l_binary64_15996`
5×	`cbrt-unprod_binary64_16088` `prod-exp_binary64_16104` `associate-r_binary64_15995`
4×	`pow1_binary64_16116` `div-exp_binary64_16106` `distribute-lft-in_binary64_16004` `distribute-rgt-in_binary64_16005` `cbrt-undiv_binary64_16089` `associate-r/_binary64_15997` `associate-l/_binary64_15998`
3×	`difference-of-squares_binary64_16024`
2×	`sub-neg_binary64_16048` `add-log-exp_binary64_16094` `distribute-lft-out--_binary64_16007`
1×	`times-frac_binary64_16061` `associate-/r_binary64_15999` `associate-/l_binary64_16000` `*-commutative_binary64_15986` `div-inv_binary64_16052` `pow-prod-down_binary64_16126` `unswap-sqr_binary64_16023` `clear-num_binary64_16054` `frac-2neg_binary64_16066`

Counts

2 → 68

Calls

4 calls:

14.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
12.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
0.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
0.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

series223.0ms (3.4%)

Counts

2 → 21

Calls

2 calls:

171.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
52.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 360 to 325 computations (9.7% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4943	1315
1	4943	1315

prune106.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Error

0.0b

Counts

90 → 6

Compiler

Compiled 1469 to 1077 computations (26.7% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.1b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.1b	(/.f64 y (/.f64 (-.f64 3 x) 3))
0.0b	(/.f64 (-.f64 3 x) 3)
0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(/.f64 y (/.f64 (-.f64 3 x) 3))
0.1b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))

rewrite143.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

1218×	`times-frac_binary64_16061`
808×	`*-un-lft-identity_binary64_16055` `add-sqr-sqrt_binary64_16077`
461×	`add-cube-cbrt_binary64_16090`
205×	`difference-of-squares_binary64_16024`
142×	`distribute-lft-out--_binary64_16007`
84×	`associate-/r*_binary64_15999`
35×	`div-inv_binary64_16052`
19×	`add-exp-log_binary64_16093` `add-cbrt-cube_binary64_16091`
14×	`associate-/l*_binary64_16000`
10×	`div-exp_binary64_16106` `cbrt-undiv_binary64_16089`
9×	`associate-/r/_binary64_16001`
4×	`associate-/l/_binary64_16002`
3×	`pow1_binary64_16116` `clear-num_binary64_16054` `add-log-exp_binary64_16094` `frac-2neg_binary64_16066`
2×	`flip3--_binary64_16059` `flip--_binary64_16030` `div-sub_binary64_16060`

Counts

3 → 592

Calls

6 calls:

30.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
9.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
7.0ms	(/.f64 (-.f64 3 x) 3)
0.0ms	(/.f64 (-.f64 3 x) 3)
0.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))

series301.0ms (4.6%)

Counts

3 → 33

Calls

3 calls:

177.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
90.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
33.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 625 to 539 computations (13.8% saved)

simplify193.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5112	20379

prune1.3s (19.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	625	6	631

Error

Counts

631 → 6

Compiler

Compiled 15189 to 10659 computations (29.8% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
0.1b	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
0.1b	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
0.0b	(/.f64 1 (-.f64 3 x))
0.0b	(/.f64 1 (-.f64 3 x))
0.1b	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
0.1b	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
0.1b	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))

rewrite58.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log_binary64_16093` `add-sqr-sqrt_binary64_16077`
48×	`*-un-lft-identity_binary64_16055`
38×	`times-frac_binary64_16061`
34×	`add-cbrt-cube_binary64_16091`
27×	`add-cube-cbrt_binary64_16090`
24×	`associate-l_binary64_15996`
22×	`prod-exp_binary64_16104`
14×	`div-exp_binary64_16106`
12×	`pow1_binary64_16116` `cbrt-unprod_binary64_16088`
11×	`difference-of-squares_binary64_16024`
9×	`associate-/l*_binary64_16000` `distribute-lft-out--_binary64_16007`
8×	`cbrt-undiv_binary64_16089`
6×	`associate-/r*_binary64_15999`
5×	`associate-/r/_binary64_16001`
4×	`pow-prod-down_binary64_16126` `rec-exp_binary64_16105` `add-log-exp_binary64_16094` `1-exp_binary64_16099` `associate-r_binary64_15995`
3×	`flip3--_binary64_16059` `flip--_binary64_16030` `div-inv_binary64_16052` `unswap-sqr_binary64_16023` `associate-*l/_binary64_15998`
2×	`associate-/l/_binary64_16002` `-commutative_binary64_15986` `associate-r/_binary64_15997` `clear-num_binary64_16054` `frac-2neg_binary64_16066`
1×	`pow-flip_binary64_16129` `div-sub_binary64_16060` `inv-pow_binary64_16140`

Counts

4 → 144

Calls

8 calls:

15.0ms	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
11.0ms	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
11.0ms	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
9.0ms	(/.f64 1 (-.f64 3 x))
0.0ms	(/.f64 1 (-.f64 3 x))

series324.0ms (4.9%)

Counts

4 → 51

Calls

4 calls:

170.0ms	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
89.0ms	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
34.0ms	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
31.0ms	(/.f64 1 (-.f64 3 x))

Compiler

Compiled 1034 to 904 computations (12.6% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5099	2710

prune200.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	195	6	201

Error

Counts

201 → 6

Compiler

Compiled 3291 to 2474 computations (24.8% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.5b	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
0.3b	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
0.0b	(/.f64 (-.f64 1 x) y)
0.0b	(/.f64 (-.f64 1 x) y)
0.3b	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
0.5b	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_16077`
52×	`*-un-lft-identity_binary64_16055`
40×	`times-frac_binary64_16061`
29×	`add-cube-cbrt_binary64_16090`
22×	`associate-l_binary64_15996`
19×	`add-exp-log_binary64_16093` `add-cbrt-cube_binary64_16091`
15×	`difference-of-squares_binary64_16024`
8×	`distribute-lft-out--_binary64_16007`
7×	`associate-/l/_binary64_16002` `associate-/l*_binary64_16000`
6×	`associate-/r*_binary64_15999` `div-exp_binary64_16106` `cbrt-undiv_binary64_16089` `cancel-sign-sub-inv_binary64_16021`
5×	`pow1_binary64_16116` `flip3--_binary64_16059` `flip--_binary64_16030` `associate-r_binary64_15995`
4×	`distribute-lft-in_binary64_16004` `distribute-rgt-in_binary64_16005` `frac-times_binary64_16065` `associate-*r/_binary64_15997` `cbrt-unprod_binary64_16088` `prod-exp_binary64_16104`
3×	`div-inv_binary64_16052` `add-log-exp_binary64_16094`
2×	`sub-neg_binary64_16048` `unswap-sqr_binary64_16023` `clear-num_binary64_16054` `frac-2neg_binary64_16066` `associate-*l/_binary64_15998`
1×	`*-commutative_binary64_15986` `div-sub_binary64_16060` `pow-prod-down_binary64_16126`

Counts

3 → 125

Calls

6 calls:

15.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
13.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
6.0ms	(/.f64 (-.f64 1 x) y)
0.0ms	(/.f64 (-.f64 1 x) y)
0.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)

series374.0ms (5.7%)

Counts

3 → 33

Calls

3 calls:

171.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
133.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
70.0ms	(/.f64 (-.f64 1 x) y)

Compiler

Compiled 661 to 585 computations (11.5% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5243	2390

prune133.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	158	6	164

Error

Counts

164 → 6

Compiler

Compiled 2556 to 1758 computations (31.2% saved)

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	562	671
1	562	671

regimes314.0ms (4.8%)

Accuracy

Total 0.1b remaining (98.9%)

Threshold costs 0.1b (98.9%)

Compiler

Compiled 2790 to 2465 computations (11.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms (0%)

sample2.4s (35.7%)

Algorithm

1×

intervals

Results

267.0ms	8000×	body	128	valid
10.0ms	313×	body	128	invalid

Compiler

Compiled 1388 to 1217 computations (12.3% saved)

Pareto

0.38617659621934997

Details

analyze104.0ms (1.6%)

sample21.0ms (0.3%)

simplify161.0ms (2.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite35.0ms (0.5%)

series223.0ms (3.4%)

simplify57.0ms (0.9%)

prune106.0ms (1.6%)

localize8.0ms (0.1%)

rewrite143.0ms (2.2%)

series301.0ms (4.6%)

simplify193.0ms (2.9%)

prune1.3s (19.3%)

localize9.0ms (0.1%)

rewrite58.0ms (0.9%)

series324.0ms (4.9%)

simplify58.0ms (0.9%)

prune200.0ms (3%)

localize7.0ms (0.1%)

rewrite45.0ms (0.7%)

series374.0ms (5.7%)

simplify54.0ms (0.8%)

prune133.0ms (2%)

simplify23.0ms (0.4%)

regimes314.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (35.7%)

Profiling