Details

analyze71.0ms (1.1%)

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify133.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5126	25

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

0.1b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
9×	`*-un-lft-identity_binary64_2465`
6×	`add-cube-cbrt_binary64_2500`
4×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
3×	`add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544` `cancel-sign-sub-inv_binary64_2431` `pow-unpow_binary64_2542`
2×	`difference-of-squares_binary64_2434` `sum-log_binary64_2556` `diff-log_binary64_2557`
1×	`flip3-+_binary64_2468` `difference-of-sqr-1_binary64_2435` `+-commutative_binary64_2395` `unpow2_binary64_2530` `flip--_binary64_2440` `flip-+_binary64_2439` `distribute-lft-out--_binary64_2417` `pow-exp_binary64_2533` `sub-neg_binary64_2458` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `associate--l+_binary64_2402` `flip3--_binary64_2469`

Counts

3 → 49

Calls

3 calls:

11.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series924.0ms (14.4%)

Counts

3 → 54

Calls

3 calls:

371.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
364.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
187.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 1376 to 1222 computations (11.2% saved)

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5188	2205

prune106.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Error

Counts

104 → 4

Compiler

Compiled 2173 to 1051 computations (51.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
1.8b	(.f64 (.f64 a a) (*.f64 b b))

rewrite76.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`pow1_binary64_2526`
34×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
27×	`pow-prod-down_binary64_2536`
21×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
18×	`add-log-exp_binary64_2504`
9×	`sum-log_binary64_2556`
5×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`pow-plus_binary64_2528` `pow-prod-up_binary64_2535` `associate-l_binary64_2406`
2×	`flip3-+_binary64_2468` `-commutative_binary64_2396` `+-commutative_binary64_2395` `flip-+_binary64_2439` `pow2_binary64_2546` `associate-r*_binary64_2405` `pow-sqr_binary64_2438`
1×	`associate-+l+_binary64_2398` `unswap-sqr_binary64_2433` `associate-+r+_binary64_2397`

Counts

4 → 83

Calls

4 calls:

23.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
22.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
13.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))

series817.0ms (12.7%)

Counts

4 → 48

Calls

4 calls:

357.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
287.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
92.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
80.0ms	(.f64 (.f64 a a) (*.f64 b b))

Compiler

Compiled 1542 to 1333 computations (13.6% saved)

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5000	2302

prune159.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	131	4	135

Error

Counts

135 → 4

Compiler

Compiled 3397 to 1980 computations (41.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
19.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
19.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
19.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod_binary64_2496`
52×	`add-sqr-sqrt_binary64_2487`
31×	`unpow-prod-down_binary64_2544`
25×	`unswap-sqr_binary64_2433`
22×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
17×	`unpow2_binary64_2530` `sqr-pow_binary64_2437`
11×	`swap-sqr_binary64_2432` `pow1_binary64_2526` `associate-r_binary64_2405` `associate-l_binary64_2406`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
2×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 124

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

series816.0ms (12.7%)

Counts

4 → 51

Calls

4 calls:

274.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
182.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
180.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
180.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

Compiler

Compiled 3498 to 2508 computations (28.3% saved)

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4929	3880
1	4929	3880

prune272.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	175	4	179

Error

Counts

179 → 4

Compiler

Compiled 7392 to 2893 computations (60.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))
0.1b	(pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
16.6b	(cbrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_2487`
24×	`*-un-lft-identity_binary64_2465`
20×	`cbrt-prod_binary64_2496`
17×	`unpow-prod-down_binary64_2544`
14×	`cube-prod_binary64_2493`
12×	`add-cube-cbrt_binary64_2500`
8×	`difference-of-squares_binary64_2434`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `pow1_binary64_2526` `pow-unpow_binary64_2542`
5×	`add-cbrt-cube_binary64_2501`
4×	`difference-of-sqr-1_binary64_2435` `distribute-lft-out--_binary64_2417` `cube-div_binary64_2494`
3×	`sqr-pow_binary64_2437`
2×	`unpow3_binary64_2531` `flip--_binary64_2440` `cbrt-div_binary64_2497` `pow-exp_binary64_2533` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `pow-pow_binary64_2537` `flip3--_binary64_2469`
1×	`flip3-+_binary64_2468` `rem-cube-cbrt_binary64_2488` `+-commutative_binary64_2395` `unpow2_binary64_2530` `sum-log_binary64_2556` `flip-+_binary64_2439` `pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489`

Counts

4 → 93

Calls

4 calls:

12.0ms	(cbrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3))
11.0ms	(pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3)
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series1.2s (19.2%)

Counts

4 → 71

Calls

4 calls:

387.0ms	(cbrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3))
368.0ms	(pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3)
363.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))
115.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 2664 to 2328 computations (12.6% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5108	5659

prune222.0ms (3.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	164	4	168

Error

Counts

168 → 4

Compiler

Compiled 4754 to 2686 computations (43.5% saved)

regimes215.0ms (3.4%)

Accuracy

Total 0.0b remaining (55.9%)

Threshold costs 0.0b (55.9%)

Compiler

Compiled 2444 to 1699 computations (30.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample820.0ms (12.8%)

Algorithm

1×

intervals

Results

333.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 360 to 253 computations (29.7% saved)

Details

analyze71.0ms (1.1%)

sample17.0ms (0.3%)

simplify133.0ms (2.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite28.0ms (0.4%)

series924.0ms (14.4%)

simplify85.0ms (1.3%)

prune106.0ms (1.6%)

localize13.0ms (0.2%)

rewrite76.0ms (1.2%)

series817.0ms (12.7%)

simplify49.0ms (0.8%)

prune159.0ms (2.5%)

localize14.0ms (0.2%)

rewrite51.0ms (0.8%)

series816.0ms (12.7%)

simplify117.0ms (1.8%)

prune272.0ms (4.2%)

localize12.0ms (0.2%)

rewrite45.0ms (0.7%)

series1.2s (19.2%)

simplify101.0ms (1.6%)

prune222.0ms (3.5%)

regimes215.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample820.0ms (12.8%)

Profiling