Details

analyze148.0ms (4%)

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
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify219.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	964	10
1	964	10

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_16927` `add-sqr-sqrt_binary64_16948`
25×	`times-frac_binary64_16933`
13×	`add-cube-cbrt_binary64_16959`
12×	`distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
5×	`associate-/r_binary64_16873` `associate-/l_binary64_16874`
3×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962`
2×	`flip3--_binary64_16931` `associate-/r/_binary64_16875` `flip--_binary64_16902` `associate-/l/_binary64_16876`
1×	`div-inv_binary64_16924` `div-exp_binary64_16975` `pow1_binary64_16985` `frac-2neg_binary64_16938` `div-sub_binary64_16932` `clear-num_binary64_16926` `add-log-exp_binary64_16963` `cbrt-undiv_binary64_16958`

Counts

1 → 52

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

series102.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

102.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5085	989

prune38.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

Compiler

Compiled 829 to 184 computations (77.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z y))
0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_16927`
38×	`add-sqr-sqrt_binary64_16948`
33×	`times-frac_binary64_16933`
16×	`distribute-lft-out--_binary64_16881`
14×	`add-cube-cbrt_binary64_16959`
10×	`difference-of-squares_binary64_16896`
6×	`associate-/r/_binary64_16875`
5×	`associate-/r*_binary64_16873`
4×	`flip3--_binary64_16931` `add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `flip--_binary64_16902` `add-log-exp_binary64_16963`
3×	`div-inv_binary64_16924` `associate-/l*_binary64_16874` `distribute-rgt-out--_binary64_16883`
2×	`pow1_binary64_16985`
1×	`frac-sub_binary64_16936` `div-exp_binary64_16975` `sub-div_binary64_16934` `sub-neg_binary64_16920` `frac-2neg_binary64_16938` `diff-log_binary64_17016` `clear-num_binary64_16926` `cbrt-undiv_binary64_16958`

Counts

2 → 65

Calls

2 calls:

32.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 y (-.f64 z y))

series213.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

158.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
55.0ms	(/.f64 y (-.f64 z y))

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5615	1215

prune48.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	4	75

Merged error: 0b

Counts

75 → 4

Compiler

Compiled 1281 to 272 computations (78.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.2b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_16933`
194×	`*-un-lft-identity_binary64_16927` `add-sqr-sqrt_binary64_16948`
90×	`add-cube-cbrt_binary64_16959`
52×	`distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
36×	`associate-/r*_binary64_16873`
15×	`add-exp-log_binary64_16962`
11×	`associate-/r/_binary64_16875`
9×	`add-cbrt-cube_binary64_16960`
8×	`div-exp_binary64_16975` `associate-/l*_binary64_16874`
6×	`div-inv_binary64_16924` `flip3--_binary64_16931` `flip--_binary64_16902`
4×	`cbrt-undiv_binary64_16958`
3×	`pow1_binary64_16985`
2×	`1-exp_binary64_16968` `rec-exp_binary64_16974` `frac-2neg_binary64_16938` `associate-/l/_binary64_16876` `clear-num_binary64_16926` `add-log-exp_binary64_16963`
1×	`inv-pow_binary64_17009` `pow-flip_binary64_16998` `div-sub_binary64_16932`

Counts

2 → 200

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
8.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

series310.0ms (8.4%)

Counts

2 → 6

Calls

2 calls:

211.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
99.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5594	4487

prune132.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	206	4	210

Merged error: 0b

Counts

210 → 4

Compiler

Compiled 3637 to 852 computations (76.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x y))
0.1b	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
0.1b	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
0.1b	(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))))

rewrite237.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Rules

769×	`sqrt-prod_binary64_16942`
662×	`add-sqr-sqrt_binary64_16948`
619×	`*-un-lft-identity_binary64_16927`
584×	`times-frac_binary64_16933`
241×	`add-cube-cbrt_binary64_16959`
165×	`distribute-lft-out--_binary64_16881`
150×	`swap-sqr_binary64_16894`
117×	`difference-of-squares_binary64_16896`
70×	`associate-l_binary64_16870` `associate-r_binary64_16869`
25×	`unswap-sqr_binary64_16895`
20×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962`
18×	`sqrt-div_binary64_16943`
16×	`associate-/r_binary64_16873` `associate-/l_binary64_16874`
12×	`associate-/r/_binary64_16875` `pow1_binary64_16985`
9×	`flip3--_binary64_16931` `flip--_binary64_16902`
6×	`div-inv_binary64_16924` `sqrt-undiv_binary64_16947` `div-exp_binary64_16975` `cbrt-undiv_binary64_16958`
4×	`cbrt-unprod_binary64_16957` `prod-exp_binary64_16973` `associate-/l/_binary64_16876` `add-log-exp_binary64_16963`
2×	`frac-2neg_binary64_16938` `clear-num_binary64_16926`
1×	`frac-times_binary64_16937` `pow-prod-up_binary64_16994` `rem-square-sqrt_binary64_16939` `pow-plus_binary64_16987` `sqrt-pow1_binary64_16944` `pow-prod-down_binary64_16995` `pow-sqr_binary64_16900` `-commutative_binary64_16860` `associate-r/_binary64_16871` `sqrt-unprod_binary64_16946` `pow1/2_binary64_17004` `pow2_binary64_17005` `associate-*l/_binary64_16872` `rem-sqrt-square_binary64_16940`

Counts

4 → 552

Calls

4 calls:

104.0ms	(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))))
11.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
11.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
4.0ms	(sqrt.f64 (-.f64 x y))

series726.0ms (19.7%)

Counts

4 → 12

Calls

4 calls:

288.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
273.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
108.0ms	(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))))
58.0ms	(sqrt.f64 (-.f64 x y))

simplify198.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

564 → 564

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5212	16230

prune415.0ms (11.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	564	0	564
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	564	4	568

Merged error: 0b

Counts

568 → 4

Compiler

Compiled 14919 to 1330 computations (91.1% saved)

regimes46.0ms (1.2%)

Compiler: Compiled 204 to 150 computations (26.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample493.0ms (13.3%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	128	valid
6.0ms	231×	body	128	invalid

Compiler

Compiled 72 to 53 computations (26.4% saved)

Details

analyze148.0ms (4%)

sample14.0ms (0.4%)

simplify219.0ms (5.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.4%)

series102.0ms (2.8%)

simplify64.0ms (1.7%)

prune38.0ms (1%)

localize8.0ms (0.2%)

rewrite45.0ms (1.2%)

series213.0ms (5.8%)

simplify56.0ms (1.5%)

prune48.0ms (1.3%)

localize6.0ms (0.2%)

rewrite49.0ms (1.3%)

series310.0ms (8.4%)

simplify96.0ms (2.6%)

prune132.0ms (3.6%)

localize9.0ms (0.2%)

rewrite237.0ms (6.4%)

series726.0ms (19.7%)

simplify198.0ms (5.4%)

prune415.0ms (11.2%)

regimes46.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample493.0ms (13.3%)

Profiling