Details

analyze945.0ms

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify226.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (224.0ms)

Iter	Nodes	Cost
0	5590	11

prune3.0ms

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: 1.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.0b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series29.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	1163

prune69.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
6.7b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
46×	`associate-r_binary64`
42×	`cbrt-prod_binary64`
28×	`add-cube-cbrt_binary64`
25×	`add-exp-log_binary64`
20×	`cbrt-div_binary64`
18×	`add-cbrt-cube_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-l_binary64`
10×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l/_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))
34.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (-.f64 a t))
26.0ms	(cbrt.f64 (-.f64 a t))
26.0ms	(cbrt.f64 (-.f64 a t))
32.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5100	2215

prune79.0ms

Filtered

114 candidates to 148 candidates (-29.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
10.1b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 85

Calls

2 calls:

6.0ms	(/.f64 y (-.f64 a t))
14.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

series40.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 y (-.f64 a t))
30.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5770	890

prune51.0ms

Filtered

67 candidates to 91 candidates (-35.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
11.7b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z t))
10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series28.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z t))
20.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5975	485

prune228.0ms

Filtered

38 candidates to 59 candidates (-55.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0b

Counts

64 → 5

regimes403.0ms

Accuracy

69.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.6b

bsearch32.0ms

Steps

Iters	Range		Point
8	8.951460699456737e-37	2.2691802765886622e-33	2.440900004491685e-36
7	-6.186062073456677e+28	-1.784607338332002e+27	-3.1235512191717954e+27

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	31
1	38	31

end0.0ms

sample598.0ms

Algorithm

intervals

Results

303.0ms	7999×	body	80	valid
29.0ms	710×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze945.0ms

sample23.0ms

simplify226.0ms

prune3.0ms

localize8.0ms

rewrite32.0ms

series29.0ms

simplify50.0ms

prune69.0ms

localize11.0ms

rewrite53.0ms

series112.0ms

simplify49.0ms

prune79.0ms

localize12.0ms

rewrite23.0ms

series40.0ms

simplify57.0ms

prune51.0ms

localize10.0ms

rewrite19.0ms

series28.0ms

simplify42.0ms

prune228.0ms

regimes403.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample598.0ms

Profiling