Details

analyze659.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify195.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune8.0ms

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: 1.9b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
5.9b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2485`
13×	`associate-r_binary64_2559`
12×	`*-un-lft-identity_binary64_2500`
10×	`add-cube-cbrt_binary64_2471` `times-frac_binary64_2495`
7×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
5×	`associate-l_binary64_2560`
4×	`pow1_binary64_2446` `add-log-exp_binary64_2465`
2×	`associate-*l/_binary64_2562` `frac-times_binary64_2492` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `flip--_binary64_2526` `cbrt-unprod_binary64_2469` `flip3--_binary64_2499`
1×	`flip3-+_binary64_2498` `distribute-lft-out--_binary64_2545` `+-commutative_binary64_2567` `difference-of-squares_binary64_2529` `div-exp_binary64_2453` `div-inv_binary64_2501` `cbrt-undiv_binary64_2470` `sum-log_binary64_2415` `pow-prod-down_binary64_2427` `-commutative_binary64_2568` `flip-+_binary64_2525` `associate-r/_binary64_2561`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series95.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
50.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5045	832

prune227.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.0b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64_2464`
14×	`add-sqr-sqrt_binary64_2485` `add-cbrt-cube_binary64_2472`
11×	`*-un-lft-identity_binary64_2500`
9×	`add-cube-cbrt_binary64_2471` `cbrt-prod_binary64_2467` `prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
6×	`pow1_binary64_2446`
5×	`associate-l_binary64_2560` `associate-r_binary64_2559`
4×	`div-exp_binary64_2453` `add-log-exp_binary64_2465` `cbrt-undiv_binary64_2470`
3×	`pow1/3_binary64_2438`
2×	`associate-*l/_binary64_2562` `frac-times_binary64_2492` `times-frac_binary64_2495` `unswap-sqr_binary64_2528` `flip--_binary64_2526` `flip3--_binary64_2499`
1×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529` `div-inv_binary64_2501` `pow-prod-down_binary64_2427` `-commutative_binary64_2568` `associate-r/_binary64_2561`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
15.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 z)
86.0ms	(cbrt.f64 z)
85.0ms	(cbrt.f64 z)
166.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5088	1143

prune324.0ms

Filtered

69 candidates to 81 candidates (-17.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
3.5b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64_2464`
22×	`associate-r_binary64_2559`
20×	`add-cube-cbrt_binary64_2471` `add-sqr-sqrt_binary64_2485` `*-un-lft-identity_binary64_2500`
18×	`cbrt-prod_binary64_2467` `add-cbrt-cube_binary64_2472` `times-frac_binary64_2495`
13×	`pow1_binary64_2446`
12×	`prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
6×	`associate-*l/_binary64_2562` `pow-prod-down_binary64_2427`
4×	`add-log-exp_binary64_2465`
3×	`pow1/3_binary64_2438` `div-exp_binary64_2453` `cbrt-undiv_binary64_2470`
2×	`frac-times_binary64_2492` `flip--_binary64_2526` `flip3--_binary64_2499`
1×	`associate-l_binary64_2560` `div-inv_binary64_2501` `-commutative_binary64_2568` `associate-r/_binary64_2561`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
16.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

series332.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 z)
84.0ms	(cbrt.f64 z)
90.0ms	(cbrt.f64 z)
73.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5071	1317

prune354.0ms

Filtered

79 candidates to 96 candidates (-21.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (-.f64 y x))
0.0b	(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
4.4b	(/.f64 (*.f64 z (-.f64 y x)) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_2485` `*-un-lft-identity_binary64_2500`
10×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
7×	`add-cube-cbrt_binary64_2471`
5×	`pow1_binary64_2446` `add-log-exp_binary64_2465` `associate-r_binary64_2559`
4×	`associate-*r/_binary64_2561`
3×	`associate-l_binary64_2560` `times-frac_binary64_2495` `associate-/r*_binary64_2563`
2×	`associate-/l/_binary64_2566` `div-exp_binary64_2453` `sub-neg_binary64_2504` `cbrt-undiv_binary64_2470` `prod-exp_binary64_2451` `flip--_binary64_2526` `cbrt-unprod_binary64_2469` `flip3--_binary64_2499`
1×	`flip3-+_binary64_2498` `distribute-rgt-in_binary64_2543` `distribute-lft-out--_binary64_2545` `+-commutative_binary64_2567` `difference-of-squares_binary64_2529` `frac-2neg_binary64_2493` `distribute-lft-in_binary64_2542` `div-inv_binary64_2501` `associate-/l_binary64_2564` `sum-log_binary64_2415` `pow-prod-down_binary64_2427` `unswap-sqr_binary64_2528` `-commutative_binary64_2568` `clear-num_binary64_2503` `flip-+_binary64_2525` `distribute-lft-out_binary64_2544`

Counts

3 → 59

Calls

3 calls:

6.0ms	(*.f64 z (-.f64 y x))
5.0ms	(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
7.0ms	(/.f64 (*.f64 z (-.f64 y x)) t)

series121.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(*.f64 z (-.f64 y x))
41.0ms	(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
50.0ms	(/.f64 (*.f64 z (-.f64 y x)) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5348	883

prune214.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	2	2	4
Picked	0	1	1
Done	1	2	3
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

regimes891.0ms

Accuracy

12% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.1b

bsearch64.0ms

Steps

Iters	Range	Point
10	5530601664373649/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984	1148888256642813/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192	4.125760857765473e-121
8	-758057175106573/137438953472	-7116515905261441/72057594037927936	-0.10068610656125335

Iters

Range

Point

5530601664373649/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984

1148888256642813/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192

4.125760857765473e-121

-758057175106573/137438953472

-7116515905261441/72057594037927936

-0.10068610656125335

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	52
1	40	52

end0.0ms

sample674.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
69.0ms	2032×	body	80	invalid

Details

analyze659.0ms

sample30.0ms

simplify195.0ms

prune8.0ms

localize10.0ms

rewrite15.0ms

series95.0ms

simplify58.0ms

prune227.0ms

localize23.0ms

rewrite21.0ms

series426.0ms

simplify45.0ms

prune324.0ms

localize26.0ms

rewrite23.0ms

series332.0ms

simplify72.0ms

prune354.0ms

localize10.0ms

rewrite20.0ms

series121.0ms

simplify64.0ms

prune214.0ms

regimes891.0ms

bsearch64.0ms

simplify3.0ms

end0.0ms

sample674.0ms

Profiling