Details

analyze1.1s

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	80	valid
1.0ms	26×	body	80	invalid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4982	11
1	4982	11

prune4.0ms

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: 1.0b

Counts

2 → 1

localize8.0ms

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))
1.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite36.0ms

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))))
13.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
10.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune118.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

series117.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (-.f64 z a))
28.0ms	(cbrt.f64 (-.f64 z t))
28.0ms	(cbrt.f64 (-.f64 z t))
31.0ms	(cbrt.f64 (-.f64 z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5307	592

prune86.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))))
0.0b	(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
0.0b	(/.f64 z (-.f64 z a))
1.5b	(*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity_binary64`
62×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
28×	`distribute-lft-out--_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
16×	`difference-of-squares_binary64`
10×	`associate-/r/_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`pow1_binary64` `distribute-rgt-out--_binary64`
5×	`associate-/r*_binary64` `sub-neg_binary64` `div-inv_binary64`
4×	`associate-*r/_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sub-div_binary64` `associate-+r+_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

7.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))))
28.0ms	(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
6.0ms	(/.f64 z (-.f64 z a))
35.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))))
22.0ms	(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
7.0ms	(/.f64 z (-.f64 z a))
37.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))))

simplify57.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4970	1554
1	4970	1554

prune105.0ms

Filtered

95 candidates to 129 candidates (-35.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	130	5	135

Merged error: 0b

Counts

135 → 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))
0.9b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
1.5b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite100.0ms

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` `add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `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 → 338

Calls

4 calls:

7.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
16.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
24.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
31.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
21.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
27.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

simplify91.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5121	4569

prune292.0ms

Filtered

203 candidates to 350 candidates (-72.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	350	5	355

Merged error: 0b

Counts

355 → 5

regimes322.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	33
1	37	33

end0.0ms

sample618.0ms

Algorithm

intervals

Results

305.0ms	7997×	body	80	valid
30.0ms	742×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze1.1s

sample23.0ms

simplify106.0ms

prune4.0ms

localize8.0ms

rewrite36.0ms

series60.0ms

simplify46.0ms

prune118.0ms

localize15.0ms

rewrite15.0ms

series117.0ms

simplify42.0ms

prune86.0ms

localize9.0ms

rewrite84.0ms

series101.0ms

simplify57.0ms

prune105.0ms

localize9.0ms

rewrite100.0ms

series89.0ms

simplify91.0ms

prune292.0ms

regimes322.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample618.0ms

Profiling