Details

analyze886.0ms

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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	68×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

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: 7.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
7.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

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

series37.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(*.f64 y (-.f64 z t))
13.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5072	574

prune57.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.9b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t)) (cbrt.f64 a))
4.6b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`cbrt-prod_binary64`
10×	`times-frac_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
5×	`associate-/l/_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
2×	`sub-neg_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
13.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t)) (cbrt.f64 a))
12.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t))

series119.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 a)
15.0ms	(cbrt.f64 a)
22.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t)) (cbrt.f64 a))
68.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4958	939
1	4958	939

prune68.0ms

Filtered

80 candidates to 106 candidates (-32.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
7.4b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 151

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
6.0ms	(/.f64 a (-.f64 z t))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
10.0ms	(/.f64 a (-.f64 z t))
14.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4997	2025
1	4997	2025

prune84.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	2	4	6
Picked	0	1	1
Done	2	0	2
Total	161	8	169

Merged error: 0b

Counts

169 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t))))
0.0b	(/.f64 1 (-.f64 z t))
6.5b	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac_binary64`
387×	`*-un-lft-identity_binary64`
385×	`add-sqr-sqrt_binary64`
293×	`add-cube-cbrt_binary64`
46×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
38×	`div-inv_binary64`
31×	`associate-/r/_binary64`
29×	`add-exp-log_binary64`
26×	`associate-/r*_binary64`
18×	`div-exp_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
15×	`flip3--_binary64` `flip--_binary64`
9×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 384

Calls

3 calls:

63.0ms	(+.f64 x (/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t))))
6.0ms	(/.f64 1 (-.f64 z t))
17.0ms	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 x (/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t))))
5.0ms	(/.f64 1 (-.f64 z t))
14.0ms	(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5075	6728

prune129.0ms

Filtered

214 candidates to 393 candidates (-83.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	392	1	393
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	393	8	401

Merged error: 0b

Counts

401 → 8

regimes487.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample702.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
87.0ms	2579×	body	80	invalid

Details

analyze886.0ms

sample25.0ms

simplify45.0ms

prune3.0ms

localize7.0ms

rewrite21.0ms

series37.0ms

simplify41.0ms

prune57.0ms

localize13.0ms

rewrite31.0ms

series119.0ms

simplify44.0ms

prune68.0ms

localize7.0ms

rewrite43.0ms

series41.0ms

simplify50.0ms

prune84.0ms

localize8.0ms

rewrite118.0ms

series35.0ms

simplify89.0ms

prune129.0ms

regimes487.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample702.0ms

Profiling