Details

analyze1.2s (16.3%)

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)

sample59.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
4.0ms	131×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_2845`
4×	`sum-log_binary64_2897`
2×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `flip3-+_binary64_2809` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `+-commutative_binary64_2736`
1×	`associate-+l+_binary64_2739`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 510 to 94 computations (81.6% saved)

series454.0ms (6.1%)

Error

0.0b

Counts

2 → 60

Calls

2 calls:

290.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
135.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1314 to 920 computations (30% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5019	1056

prune52.0ms (0.7%)

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 1022 to 139 computations (86.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
0.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
0.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
0.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite125.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3740 to 429 computations (88.5% saved)

series1.5s (19.5%)

Error

0.0b

Counts

4 → 96

Calls

4 calls:

375.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
326.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
322.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
305.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 11328 to 6875 computations (39.3% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5173	4826

prune200.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	183	5	188

Error

0.0b

Counts

188 → 5

Compiler

Compiled 6916 to 1322 computations (80.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 a b))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_2845`
1×	`sum-log_binary64_2897` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `flip3-+_binary64_2809` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 a b))

Compiler

Compiled 178 to 44 computations (75.3% saved)

series134.0ms (1.8%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

126.0ms

(+.f64 (*.f64 x y) (*.f64 a b))

Compiler

Compiled 324 to 309 computations (4.6% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

prune19.0ms (0.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	34	6	40

Error

0.0b

Counts

40 → 6

Compiler

Compiled 345 to 87 computations (74.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
0.3b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
0.3b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite120.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_2828`
24×	`sqrt-prod_binary64_2822`
21×	`pow1_binary64_2867`
16×	`sqrt-div_binary64_2823`
14×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
10×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
9×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
8×	`swap-sqr_binary64_2773`
6×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-l_binary64_2747` `associate-r_binary64_2746`
5×	`pow-prod-up_binary64_2876`
4×	`rem-sqrt-square_binary64_2819` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
3×	`pow-prod-down_binary64_2877` `pow-sqr_binary64_2779`
2×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `sqr-abs_binary64_2821` `rem-square-sqrt_binary64_2818` `*-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
4.0ms	(+.f64 (.f64 t z) (.f64 x y))
4.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3237 to 413 computations (87.2% saved)

series539.0ms (7.2%)

Error

0.0b

Counts

4 → 80

Calls

4 calls:

144.0ms	(+.f64 (.f64 t z) (.f64 x y))
131.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
114.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
105.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3944 to 2261 computations (42.7% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4923	2397
1	4923	2397

prune122.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	179	6	185

Error

0.0b

Counts

185 → 6

Compiler

Compiled 3758 to 476 computations (87.3% saved)

regimes440.0ms (5.9%)

Accuracy

Total 0.0b remaining (39.8%)

Threshold costs 0.0b (39.8%)

Compiler

Compiled 5137 to 3421 computations (33.4% saved)

bsearch0.0ms (0%)

simplify46.0ms (0.6%)

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%)

sample2.1s (27.7%)

Algorithm

1×

intervals

Results

297.0ms	8000×	body	128	valid
147.0ms	3942×	body	128	invalid

Compiler

Compiled 484 to 326 computations (32.6% saved)

Details

analyze1.2s (16.3%)

sample59.0ms (0.8%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite36.0ms (0.5%)

series454.0ms (6.1%)

simplify69.0ms (0.9%)

prune52.0ms (0.7%)

localize12.0ms (0.2%)

rewrite125.0ms (1.7%)

series1.5s (19.5%)

simplify69.0ms (0.9%)

prune200.0ms (2.7%)

localize5.0ms (0.1%)

rewrite12.0ms (0.2%)

series134.0ms (1.8%)

simplify92.0ms (1.2%)

prune19.0ms (0.3%)

localize10.0ms (0.1%)

rewrite120.0ms (1.6%)

series539.0ms (7.2%)

simplify105.0ms (1.4%)

prune122.0ms (1.6%)

regimes440.0ms (5.9%)

bsearch0.0ms (0%)

simplify46.0ms (0.6%)

end0.0ms (0%)

sample2.1s (27.7%)

Profiling