Details

sample65.0ms

Algorithm

intervals

Results

21.0ms

458×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 27

Calls

2 calls:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series134.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ (* x y) (* z t)) (* a b))
114.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify113.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	208	281
1	836	266
2	4400	260
3	5002	260

prune53.0ms

Filtered

33 candidates to 25 candidates (24.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
13.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
53.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
54.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
95.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

simplify119.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	312	1441
1	1123	1348
2	4902	1239
3	5001	1223

prune119.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* t z) (+ (* a b) (* i c)))
0.0b	(+ (* a b) (* i c))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+`

Counts

2 → 24

Calls

2 calls:

5.0ms	(+ (* t z) (+ (* a b) (* i c)))
3.0ms	(+ (* a b) (* i c))

series28.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (* t z) (+ (* a b) (* i c)))
9.0ms	(+ (* a b) (* i c))

simplify78.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	185	188
1	713	177
2	2682	177
3	5002	177

prune45.0ms

Filtered

30 candidates to 23 candidates (23.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	30	5	35

Merged error: 0.0b

Counts

35 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (+ (* x y) (* z t)) (* a b))))
0.6b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
2.6b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
31.9b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `*-un-lft-identity`
42×	`times-frac`
18×	`cbrt-div`
11×	`pow1`
9×	`difference-of-squares`
8×	`add-exp-log`
7×	`pow1/3` `associate-/l*`
6×	`flip3-+` `swap-sqr` `associate-r` `associate-l` `associate-/r*` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `add-cbrt-cube` `flip--` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 148

Calls

4 calls:

20.0ms	(/ (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (+ (* x y) (* z t)) (* a b))))
13.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
10.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series742.0ms

Counts

4 → 12

Calls

4 calls:

399.0ms	(/ (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (+ (* x y) (* z t)) (* a b))))
104.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
151.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
88.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify99.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	618	3790
1	2543	3636
2	5001	3540

prune173.0ms

Filtered

160 candidates to 120 candidates (25.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	160	5	165

Merged error: 0.0b

Counts

165 → 5

regimes1.5s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

673.0ms

13851×

body

valid

Details

sample65.0ms

simplify9.0ms

prune6.0ms

localize11.0ms

rewrite14.0ms

series134.0ms

simplify113.0ms

prune53.0ms

localize16.0ms

rewrite30.0ms

series253.0ms

simplify119.0ms

prune119.0ms

localize11.0ms

rewrite9.0ms

series28.0ms

simplify78.0ms

prune45.0ms

localize24.0ms

rewrite58.0ms

series742.0ms

simplify99.0ms

prune173.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling