Details

analyze138.0ms (3.6%)

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
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

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify228.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

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_19343` `add-sqr-sqrt_binary64_19365`
25×	`times-frac_binary64_19349`
13×	`add-cube-cbrt_binary64_19378`
12×	`difference-of-squares_binary64_19312` `distribute-lft-out--_binary64_19295`
5×	`associate-/l_binary64_19288` `associate-/r_binary64_19287`
3×	`add-exp-log_binary64_19381` `add-cbrt-cube_binary64_19379`
2×	`flip--_binary64_19318` `flip3--_binary64_19347` `associate-/l/_binary64_19290` `associate-/r/_binary64_19289`
1×	`div-sub_binary64_19348` `add-log-exp_binary64_19382` `frac-2neg_binary64_19354` `div-inv_binary64_19340` `clear-num_binary64_19342` `pow1_binary64_19404` `cbrt-undiv_binary64_19377` `div-exp_binary64_19394`

Counts

1 → 52

Calls

1 calls:

10.0ms

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

series95.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4905	989
1	4905	989

prune73.0ms (1.9%)

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 1356 to 504 computations (62.8% saved)

localize6.0ms (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)))

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64_19343`
53×	`add-sqr-sqrt_binary64_19365`
48×	`times-frac_binary64_19349`
23×	`add-cube-cbrt_binary64_19378`
21×	`cancel-sign-sub-inv_binary64_19309`
19×	`distribute-lft-out--_binary64_19295`
13×	`difference-of-squares_binary64_19312`
8×	`associate-/r/_binary64_19289`
5×	`flip--_binary64_19318` `associate-/r*_binary64_19287` `flip3--_binary64_19347`
4×	`add-exp-log_binary64_19381` `add-log-exp_binary64_19382` `div-inv_binary64_19340` `add-cbrt-cube_binary64_19379`
3×	`distribute-rgt-out--_binary64_19297` `associate-/l*_binary64_19288`
2×	`pow1_binary64_19404`
1×	`sub-neg_binary64_19336` `diff-log_binary64_19435` `frac-sub_binary64_19352` `sub-div_binary64_19350` `frac-2neg_binary64_19354` `clear-num_binary64_19342` `cbrt-undiv_binary64_19377` `div-exp_binary64_19394`

Counts

2 → 86

Calls

2 calls:

34.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 y (-.f64 z y))

series210.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

155.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
55.0ms	(/.f64 y (-.f64 z y))

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4843	1465
1	4843	1465

prune64.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0b

Counts

96 → 4

Compiler

Compiled 1665 to 354 computations (78.7% saved)

localize9.0ms (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)))

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_19349`
194×	`*-un-lft-identity_binary64_19343` `add-sqr-sqrt_binary64_19365`
90×	`add-cube-cbrt_binary64_19378`
52×	`difference-of-squares_binary64_19312` `distribute-lft-out--_binary64_19295`
36×	`associate-/r*_binary64_19287`
15×	`add-exp-log_binary64_19381`
11×	`associate-/r/_binary64_19289`
9×	`add-cbrt-cube_binary64_19379`
8×	`associate-/l*_binary64_19288` `div-exp_binary64_19394`
6×	`flip--_binary64_19318` `div-inv_binary64_19340` `flip3--_binary64_19347`
4×	`cbrt-undiv_binary64_19377`
3×	`pow1_binary64_19404`
2×	`add-log-exp_binary64_19382` `rec-exp_binary64_19393` `frac-2neg_binary64_19354` `clear-num_binary64_19342` `associate-/l/_binary64_19290` `1-exp_binary64_19387`
1×	`div-sub_binary64_19348` `inv-pow_binary64_19428` `pow-flip_binary64_19417`

Counts

2 → 200

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

series313.0ms (8.2%)

Counts

2 → 6

Calls

2 calls:

214.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
99.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify103.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5459	4487

prune139.0ms (3.7%)

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)

localize8.0ms (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))))

rewrite244.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Rules

769×	`sqrt-prod_binary64_19359`
662×	`add-sqr-sqrt_binary64_19365`
619×	`*-un-lft-identity_binary64_19343`
584×	`times-frac_binary64_19349`
241×	`add-cube-cbrt_binary64_19378`
165×	`distribute-lft-out--_binary64_19295`
150×	`swap-sqr_binary64_19310`
117×	`difference-of-squares_binary64_19312`
70×	`associate-l_binary64_19284` `associate-r_binary64_19283`
25×	`unswap-sqr_binary64_19311`
20×	`add-exp-log_binary64_19381` `add-cbrt-cube_binary64_19379`
18×	`sqrt-div_binary64_19360`
16×	`associate-/l_binary64_19288` `associate-/r_binary64_19287`
12×	`pow1_binary64_19404` `associate-/r/_binary64_19289`
9×	`flip--_binary64_19318` `flip3--_binary64_19347`
6×	`sqrt-undiv_binary64_19364` `div-inv_binary64_19340` `cbrt-undiv_binary64_19377` `div-exp_binary64_19394`
4×	`add-log-exp_binary64_19382` `cbrt-unprod_binary64_19376` `associate-/l/_binary64_19290` `prod-exp_binary64_19392`
2×	`frac-2neg_binary64_19354` `clear-num_binary64_19342`
1×	`sqrt-pow1_binary64_19361` `pow-prod-up_binary64_19413` `pow1/2_binary64_19423` `pow-sqr_binary64_19316` `pow2_binary64_19424` `-commutative_binary64_19274` `pow-prod-down_binary64_19414` `pow-plus_binary64_19406` `sqrt-unprod_binary64_19363` `associate-l/_binary64_19286` `rem-square-sqrt_binary64_19355` `frac-times_binary64_19353` `rem-sqrt-square_binary64_19356` `associate-*r/_binary64_19285`

Counts

4 → 552

Calls

4 calls:

103.0ms	(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))))
14.0ms	(/.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))

series757.0ms (19.8%)

Counts

4 → 12

Calls

4 calls:

300.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
294.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y)))
105.0ms	(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 z y))))
57.0ms	(sqrt.f64 (-.f64 x y))

simplify199.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

564 → 564

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5346	16110

prune433.0ms (11.4%)

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 14847 to 1409 computations (90.5% saved)

regimes42.0ms (1.1%)

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%)

sample464.0ms (12.2%)

Algorithm

1×

intervals

Results

195.0ms	8000×	body	128	valid
5.0ms	231×	body	128	invalid

Compiler

Compiled 72 to 53 computations (26.4% saved)

Details

analyze138.0ms (3.6%)

sample14.0ms (0.4%)

simplify228.0ms (6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.4%)

series95.0ms (2.5%)

simplify69.0ms (1.8%)

prune73.0ms (1.9%)

localize6.0ms (0.2%)

rewrite49.0ms (1.3%)

series210.0ms (5.5%)

simplify87.0ms (2.3%)

prune64.0ms (1.7%)

localize9.0ms (0.2%)

rewrite47.0ms (1.2%)

series313.0ms (8.2%)

simplify103.0ms (2.7%)

prune139.0ms (3.7%)

localize8.0ms (0.2%)

rewrite244.0ms (6.4%)

series757.0ms (19.8%)

simplify199.0ms (5.2%)

prune433.0ms (11.4%)

regimes42.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample464.0ms (12.2%)

Profiling