Details

analyze42.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify115.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	497	18
1	497	18

prune5.0ms (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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize10.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.4b	(/.f64 1/9 x)
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.0b	(-.f64 1 (/.f64 1/9 x))
0.0b	(-.f64 1 (/.f64 1/9 x))
0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(/.f64 1/9 x)

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_11694`
28×	`*-un-lft-identity_binary64_11672`
24×	`add-cube-cbrt_binary64_11707`
23×	`times-frac_binary64_11678`
13×	`cancel-sign-sub-inv_binary64_11638` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
6×	`associate-r_binary64_11612` `pow1_binary64_11733` `add-log-exp_binary64_11711` `associate-/l*_binary64_11617`
4×	`associate-/r*_binary64_11616` `sqrt-prod_binary64_11688` `difference-of-squares_binary64_11641`
3×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `div-inv_binary64_11669` `associate-l_binary64_11613`
2×	`cbrt-unprod_binary64_11705` `clear-num_binary64_11671` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721` `frac-2neg_binary64_11683`
1×	`distribute-lft-out--_binary64_11624` `flip3--_binary64_11676` `flip--_binary64_11647` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743` `sub-neg_binary64_11665` `diff-log_binary64_11764`

Counts

4 → 99

Calls

8 calls:

12.0ms	(-.f64 1 (/.f64 1/9 x))
6.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
3.0ms	(/.f64 1/9 x)
0.0ms	(-.f64 1 (/.f64 1/9 x))

series138.0ms (3.7%)

Counts

4 → 18

Calls

4 calls:

79.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
26.0ms	(-.f64 1 (/.f64 1/9 x))
17.0ms	(/.f64 1/9 x)
15.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 462 to 424 computations (8.2% saved)

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4847	1044
1	4847	1044

prune162.0ms (4.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	112	7	119

Error

0.0b

Counts

119 → 7

Compiler

Compiled 1880 to 1308 computations (30.4% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.4b	(/.f64 1/9 x)
0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))
0.0b	(-.f64 1 (/.f64 1/9 x))
0.0b	(-.f64 1 (/.f64 1/9 x))
0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))
0.4b	(/.f64 1/9 x)

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

161×	`times-frac_binary64_11678`
103×	`add-sqr-sqrt_binary64_11694`
99×	`*-un-lft-identity_binary64_11672`
95×	`add-cube-cbrt_binary64_11707`
42×	`sqrt-prod_binary64_11688`
16×	`associate-/l*_binary64_11617`
13×	`cancel-sign-sub-inv_binary64_11638`
10×	`add-exp-log_binary64_11710` `div-inv_binary64_11669` `add-cbrt-cube_binary64_11708`
9×	`associate-/r*_binary64_11616`
5×	`add-log-exp_binary64_11711`
4×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `difference-of-squares_binary64_11641`
3×	`pow1_binary64_11733`
2×	`clear-num_binary64_11671` `frac-2neg_binary64_11683`
1×	`distribute-lft-out--_binary64_11624` `flip3--_binary64_11676` `associate-/l/_binary64_11619` `flip--_binary64_11647` `sub-neg_binary64_11665` `diff-log_binary64_11764`

Counts

3 → 168

Calls

6 calls:

8.0ms	(-.f64 1 (/.f64 1/9 x))
8.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)
0.0ms	(-.f64 1 (/.f64 1/9 x))
0.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))

series121.0ms (3.3%)

Counts

3 → 15

Calls

3 calls:

76.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))
27.0ms	(-.f64 1 (/.f64 1/9 x))
18.0ms	(/.f64 1/9 x)

Compiler

Compiled 366 to 336 computations (8.2% saved)

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5102	2996

prune190.0ms (5.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	183	7	190

Error

0.0b

Counts

190 → 7

Compiler

Compiled 3526 to 2252 computations (36.1% saved)

localize10.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.5b	(/.f64 1 (*.f64 x 9))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.0b	(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.0b	(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.5b	(/.f64 1 (*.f64 x 9))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_11710`
20×	`add-sqr-sqrt_binary64_11694`
17×	`*-un-lft-identity_binary64_11672`
16×	`add-cbrt-cube_binary64_11708`
13×	`add-cube-cbrt_binary64_11707`
9×	`pow1_binary64_11733` `times-frac_binary64_11678`
7×	`cancel-sign-sub-inv_binary64_11638`
6×	`associate-r_binary64_11612` `div-exp_binary64_11723` `add-log-exp_binary64_11711` `associate-/l*_binary64_11617`
5×	`prod-exp_binary64_11721`
4×	`cbrt-undiv_binary64_11706` `sqrt-prod_binary64_11688` `div-inv_binary64_11669`
3×	`cbrt-unprod_binary64_11705` `associate-l_binary64_11613`
2×	`distribute-lft-out--_binary64_11624` `clear-num_binary64_11671` `1-exp_binary64_11716` `pow-flip_binary64_11746` `associate-/r*_binary64_11616` `unswap-sqr_binary64_11640` `frac-2neg_binary64_11683` `difference-of-squares_binary64_11641` `pow-prod-down_binary64_11743` `rec-exp_binary64_11722`
1×	`inv-pow_binary64_11757` `flip3--_binary64_11676` `flip--_binary64_11647` `*-commutative_binary64_11603` `sub-neg_binary64_11665` `diff-log_binary64_11764`

Counts

4 → 93

Calls

8 calls:

7.0ms	(-.f64 1 (/.f64 1 (*.f64 x 9)))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))
0.0ms	(-.f64 1 (/.f64 1 (*.f64 x 9)))

series139.0ms (3.8%)

Counts

4 → 18

Calls

4 calls:

74.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
28.0ms	(-.f64 1 (/.f64 1 (*.f64 x 9)))
18.0ms	(*.f64 3 (sqrt.f64 x))
18.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 498 to 460 computations (7.6% saved)

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4909	921
1	4909	921

prune101.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	112	6	118

Error

0.0b

Counts

118 → 6

Compiler

Compiled 1827 to 1320 computations (27.8% saved)

localize13.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 (/.f64 1 x) 9)
0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.0b	(-.f64 1 (/.f64 (/.f64 1 x) 9))
0.0b	(-.f64 1 (/.f64 (/.f64 1 x) 9))
0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(/.f64 (/.f64 1 x) 9)
0.3b	(*.f64 3 (sqrt.f64 x))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`times-frac_binary64_11678`
110×	`add-sqr-sqrt_binary64_11694`
94×	`*-un-lft-identity_binary64_11672`
86×	`add-cube-cbrt_binary64_11707`
43×	`cancel-sign-sub-inv_binary64_11638`
20×	`add-exp-log_binary64_11710`
16×	`associate-/l*_binary64_11617` `add-cbrt-cube_binary64_11708`
10×	`div-inv_binary64_11669`
8×	`div-exp_binary64_11723` `difference-of-squares_binary64_11641`
6×	`associate-r_binary64_11612` `pow1_binary64_11733` `add-log-exp_binary64_11711`
5×	`cbrt-undiv_binary64_11706`
4×	`associate-/r*_binary64_11616` `sqrt-prod_binary64_11688`
3×	`associate-l_binary64_11613`
2×	`cbrt-unprod_binary64_11705` `clear-num_binary64_11671` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721` `frac-2neg_binary64_11683`
1×	`distribute-lft-out--_binary64_11624` `1-exp_binary64_11716` `flip3--_binary64_11676` `associate-/l/_binary64_11619` `flip--_binary64_11647` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743` `rec-exp_binary64_11722` `sub-neg_binary64_11665` `diff-log_binary64_11764`

Counts

4 → 178

Calls

8 calls:

20.0ms	(-.f64 1 (/.f64 (/.f64 1 x) 9))
7.0ms	(/.f64 (/.f64 1 x) 9)
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.0ms	(-.f64 1 (/.f64 (/.f64 1 x) 9))

series143.0ms (3.9%)

Counts

4 → 18

Calls

4 calls:

77.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
27.0ms	(-.f64 1 (/.f64 (/.f64 1 x) 9))
22.0ms	(/.f64 (/.f64 1 x) 9)
16.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 498 to 460 computations (7.6% saved)

simplify77.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4934	2358
1	4934	2358

prune207.0ms (5.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	195	7	202

Error

Counts

202 → 7

Compiler

Compiled 3556 to 2524 computations (29% saved)

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	683	847
1	683	847

regimes122.0ms (3.3%)

Compiler: Compiled 1104 to 984 computations (10.9% saved)

bsearch0.0ms (0%)

regimes43.0ms (1.2%)

Compiler: Compiled 234 to 234 computations (0% saved)

bsearch0.0ms (0%)

regimes36.0ms (1%)

Compiler: Compiled 154 to 160 computations (-3.9% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.7%)

Compiler: Compiled 106 to 116 computations (-9.4% saved)

bsearch0.0ms (0%)

regimes68.0ms (1.9%)

Compiler: Compiled 82 to 94 computations (-14.6% saved)

bsearch17.0ms (0.5%)

Steps

Iters	Range		Point
8	9.871748638536765e-06	0.6400884701246073	0.1094437204698468

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes63.0ms (1.7%)

Compiler: Compiled 62 to 76 computations (-22.6% saved)

bsearch17.0ms (0.5%)

Steps

Iters	Range		Point
8	9.871748638536765e-06	0.6400884701246073	0.1094437204698468

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.6%)

Compiler: Compiled 42 to 58 computations (-38.1% saved)

bsearch0.0ms (0%)

regimes21.0ms (0.6%)

Compiler: Compiled 26 to 42 computations (-61.5% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.5%)

Accuracy

Total 0.2b remaining (96.7%)

Threshold costs 0.2b (96.7%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch7.0ms (0.2%)

Compiler: Compiled 111 to 99 computations (10.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	142	166
1	142	166

end0.0ms (0%)

sample1.3s (34.7%)

Algorithm

1×

intervals

Results

344.0ms	8000×	body	128	valid
5.0ms	113×	body	128	invalid

Compiler

Compiled 690 to 616 computations (10.7% saved)

Pareto

-0.42529076107222463

Details

analyze42.0ms (1.1%)

sample24.0ms (0.6%)

simplify115.0ms (3.1%)

prune5.0ms (0.1%)

localize10.0ms (0.3%)

rewrite34.0ms (0.9%)

series138.0ms (3.7%)

simplify90.0ms (2.4%)

prune162.0ms (4.4%)

localize9.0ms (0.2%)

rewrite40.0ms (1.1%)

series121.0ms (3.3%)

simplify95.0ms (2.6%)

prune190.0ms (5.2%)

localize10.0ms (0.3%)

rewrite29.0ms (0.8%)

series139.0ms (3.8%)

simplify72.0ms (2%)

prune101.0ms (2.8%)

localize13.0ms (0.3%)

rewrite55.0ms (1.5%)

series143.0ms (3.9%)

simplify77.0ms (2.1%)

prune207.0ms (5.6%)

simplify19.0ms (0.5%)

regimes122.0ms (3.3%)

bsearch0.0ms (0%)

regimes43.0ms (1.2%)

bsearch0.0ms (0%)

regimes36.0ms (1%)

bsearch0.0ms (0%)

regimes27.0ms (0.7%)

bsearch0.0ms (0%)

regimes68.0ms (1.9%)

bsearch17.0ms (0.5%)

regimes63.0ms (1.7%)

bsearch17.0ms (0.5%)

regimes21.0ms (0.6%)

bsearch0.0ms (0%)

regimes21.0ms (0.6%)

bsearch0.0ms (0%)

regimes18.0ms (0.5%)

bsearch7.0ms (0.2%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (34.7%)

Profiling