Details

analyze887.0ms

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
2.3%	97.4%	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
33.3%	66.5%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4983	16
1	4983	16

prune2.0ms

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: 1.6b

Counts

2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series489.0ms

Counts

3 → 9

Calls

3 calls:

254.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
72.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
163.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5068	2068

prune91.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
7.3b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

rewrite73.0ms

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:

4.0ms	(cbrt.f64 (-.f64 z a))
4.0ms	(cbrt.f64 (-.f64 z a))
4.0ms	(cbrt.f64 (-.f64 z a))
44.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

series915.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt.f64 (-.f64 z a))
210.0ms	(cbrt.f64 (-.f64 z a))
214.0ms	(cbrt.f64 (-.f64 z a))
274.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

simplify75.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4960	3462
1	4960	3462

prune116.0ms

Filtered

113 candidates to 148 candidates (-31.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	4	3	7
Picked	1	0	1
Done	1	0	1
Total	152	5	157

Merged error: 0b

Counts

157 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.3b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
1.8b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac_binary64`
336×	`add-sqr-sqrt_binary64`
324×	`*-un-lft-identity_binary64`
158×	`add-cube-cbrt_binary64`
98×	`associate-r_binary64`
82×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
28×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `div-exp_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 334

Calls

4 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
13.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
14.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
37.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

series712.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
62.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
143.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
267.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

simplify110.0ms

Algorithm

egg-herbie

Counts

346 → 346

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5174	6976

prune185.0ms

Filtered

203 candidates to 346 candidates (-70.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	345	1	346
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	346	5	351

Merged error: 0b

Counts

351 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
6.0ms	(/.f64 y (-.f64 z a))
14.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

series564.0ms

Counts

3 → 9

Calls

3 calls:

243.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
65.0ms	(/.f64 y (-.f64 z a))
255.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

simplify59.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5128	1655

prune60.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes88.0ms

Accuracy

52.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch37.0ms

Steps

Iters	Range		Point
7	3.263579046289622e-125	6.38124826243537e-124	2.5049101239841056e-124
9	-3.8672397398546644e+46	-6.237476897188355e+39	-1.8130033807802028e+40

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	49
1	48	49

end0.0ms

sample611.0ms

Algorithm

intervals

Results

292.0ms	8000×	body	128	valid
29.0ms	724×	body	128	invalid

Details

analyze887.0ms

sample23.0ms

simplify134.0ms

prune2.0ms

localize15.0ms

rewrite41.0ms

series489.0ms

simplify59.0ms

prune91.0ms

localize12.0ms

rewrite73.0ms

series915.0ms

simplify75.0ms

prune116.0ms

localize9.0ms

rewrite113.0ms

series712.0ms

simplify110.0ms

prune185.0ms

localize9.0ms

rewrite33.0ms

series564.0ms

simplify59.0ms

prune60.0ms

regimes88.0ms

bsearch37.0ms

simplify3.0ms

end0.0ms

sample611.0ms

Profiling