Details

analyze2.5s (8.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	256
1	121	256
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample89.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
9.0ms	128×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune5.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3186`
4×	`sum-log_binary64_3238`
2×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `+-commutative_binary64_3077` `add-cube-cbrt_binary64_3182`
1×	`associate-+l+_binary64_3080`

Counts

2 → 24

Calls

2 calls:

23.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
8.0ms	(+.f64 (.f64 x y) (.f64 z t))

series701.0ms (2.4%)

Counts

2 → 60

Calls

2 calls:

464.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
237.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 822 to 906 computations (-10.2% saved)

simplify124.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5019	1056

prune97.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Error

0.0b

Counts

85 → 5

Compiler

Compiled 1063 to 148 computations (86.1% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 a b) (*.f64 a b))
0.3b	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
2.5b	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
24.9b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))

rewrite115.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`pow1_binary64_3208`
20×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
19×	`add-sqr-sqrt_binary64_3169`
18×	`pow-prod-down_binary64_3218`
17×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
12×	`times-frac_binary64_3153`
9×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `add-log-exp_binary64_3186`
5×	`difference-of-squares_binary64_3116` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
4×	`frac-times_binary64_3157` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-/l_binary64_3092` `associate-l*_binary64_3088`
3×	`flip--_binary64_3122` `flip3--_binary64_3151` `associate-/r*_binary64_3091` `pow-plus_binary64_3210`
2×	`-commutative_binary64_3078` `associate-l/_binary64_3090` `associate--l+_binary64_3084` `associate-/l/_binary64_3094` `distribute-lft-in_binary64_3096` `pow2_binary64_3228` `associate-/r/_binary64_3093` `distribute-rgt-in_binary64_3097` `associate-*r/_binary64_3089`
1×	`unswap-sqr_binary64_3115` `clear-num_binary64_3146` `cancel-sign-sub-inv_binary64_3113` `frac-2neg_binary64_3158` `sub-neg_binary64_3140` `div-sub_binary64_3152` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

4 → 120

Calls

4 calls:

34.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
21.0ms	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
20.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
11.0ms	(.f64 (.f64 a b) (*.f64 a b))

series4.8s (16.1%)

Counts

4 → 129

Calls

4 calls:

2.1s	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
2.0s	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
576.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
127.0ms	(.f64 (.f64 a b) (*.f64 a b))

Compiler

Compiled 7913 to 5393 computations (31.8% saved)

simplify193.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4981	7997
1	4981	7997

prune402.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	248	6	254

Error

0.0b

Counts

254 → 6

Compiler

Compiled 9614 to 1239 computations (87.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) (.f64 a b))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
0.6b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite79.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_3169`
24×	`sqrt-prod_binary64_3163`
21×	`pow1_binary64_3208`
16×	`sqrt-div_binary64_3164`
14×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
10×	`sqrt-pow1_binary64_3165` `pow1/2_binary64_3227`
9×	`flip-+_binary64_3121` `flip3-+_binary64_3150`
8×	`swap-sqr_binary64_3114`
6×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-r_binary64_3087` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
5×	`pow-prod-up_binary64_3217`
4×	`frac-times_binary64_3157` `unswap-sqr_binary64_3115` `rem-sqrt-square_binary64_3160`
3×	`pow-prod-down_binary64_3218` `pow-sqr_binary64_3120`
2×	`associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`*-commutative_binary64_3078` `sqrt-unprod_binary64_3167` `+-commutative_binary64_3077` `prod-exp_binary64_3196` `sqr-abs_binary64_3162` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180` `rem-square-sqrt_binary64_3159` `sum-log_binary64_3238`

Counts

4 → 99

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
21.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) (.f64 a b))
7.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.1s (3.7%)

Counts

4 → 92

Calls

4 calls:

475.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) (.f64 a b))
245.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
190.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
180.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 2406 to 2166 computations (10% saved)

simplify140.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5026	2716

prune217.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	191	6	197

Error

0.0b

Counts

197 → 6

Compiler

Compiled 3628 to 511 computations (85.9% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))
1.2b	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
4.0b	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
36.9b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))

rewrite136.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64_3147`
18×	`add-sqr-sqrt_binary64_3169`
16×	`add-cube-cbrt_binary64_3182`
15×	`times-frac_binary64_3153`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
7×	`flip-+_binary64_3121` `flip3-+_binary64_3150`
6×	`pow1_binary64_3208` `distribute-lft-in_binary64_3096` `associate-+r+_binary64_3079` `distribute-rgt-in_binary64_3097`
5×	`sum-cubes_binary64_3148` `distribute-lft-out_binary64_3098` `associate-/l*_binary64_3092`
4×	`frac-times_binary64_3157` `cancel-sign-sub-inv_binary64_3113` `associate--l+_binary64_3084` `sub-neg_binary64_3140`
3×	`flip--_binary64_3122` `flip3--_binary64_3151` `associate-r_binary64_3087` `associate-/r_binary64_3091` `associate-l*_binary64_3088`
2×	`associate-l/_binary64_3090` `associate-/l/_binary64_3094` `+-commutative_binary64_3077` `associate-/r/_binary64_3093` `associate-r/_binary64_3089` `sum-log_binary64_3238`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `clear-num_binary64_3146` `pow-prod-down_binary64_3218` `frac-2neg_binary64_3158` `prod-exp_binary64_3196` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `div-inv_binary64_3144`

Counts

4 → 101

Calls

4 calls:

38.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))
26.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))
22.0ms	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
18.0ms	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))

series13.6s (45.6%)

Counts

4 → 198

Calls

4 calls:

7.1s	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))
3.0s	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
2.1s	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
1.4s	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))

Compiler

Compiled 18486 to 12500 computations (32.4% saved)

simplify243.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

299 → 299

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5400	15484

prune687.0ms (2.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	299	0	299
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	299	6	305

Error

0.0b

Counts

305 → 6

Compiler

Compiled 16437 to 3046 computations (81.5% saved)

regimes1.0s (3.4%)

Accuracy

Total 0.0b remaining (45.3%)

Threshold costs 0.0b (45.3%)

Compiler

Compiled 4829 to 3047 computations (36.9% saved)

bsearch0.0ms (0%)

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

Compiler

Compiled 66 to 66 computations (0% saved)

end0.0ms (0%)

sample3.3s (11.2%)

Algorithm

1×

intervals

Results

572.0ms	8000×	body	128	valid
294.0ms	3951×	body	128	invalid

Compiler

Compiled 456 to 292 computations (36% saved)

Details

analyze2.5s (8.3%)

sample89.0ms (0.3%)

simplify12.0ms (0%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite34.0ms (0.1%)

series701.0ms (2.4%)

simplify124.0ms (0.4%)

prune97.0ms (0.3%)

localize26.0ms (0.1%)

rewrite115.0ms (0.4%)

series4.8s (16.1%)

simplify193.0ms (0.6%)

prune402.0ms (1.4%)

localize22.0ms (0.1%)

rewrite79.0ms (0.3%)

series1.1s (3.7%)

simplify140.0ms (0.5%)

prune217.0ms (0.7%)

localize33.0ms (0.1%)

rewrite136.0ms (0.5%)

series13.6s (45.6%)

simplify243.0ms (0.8%)

prune687.0ms (2.3%)

regimes1.0s (3.4%)

bsearch0.0ms (0%)

simplify84.0ms (0.3%)

end0.0ms (0%)

sample3.3s (11.2%)

Profiling