Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

357×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.5b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.4b	(/ (* z t) 16.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `sum-log`
4×	`pow1` `diff-log`
3×	`associate-+l+` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `div-exp` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
15.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms	(+ (* x y) (/ (* z t) 16.0))
4.0ms	(/ (* z t) 16.0)

series275.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
138.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
40.0ms	(+ (* x y) (/ (* z t) 16.0))
17.0ms	(/ (* z t) 16.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	376	628
1	1475	597
2	5001	590

prune186.0ms

Filtered

81 candidates to 60 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	3	82

Merged error: 0b

Counts

82 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
0.0b	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
0.0b	(+ (* x y) (* z (/ t 16.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `flip--` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

17.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
8.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
3.0ms	(+ (* x y) (* z (/ t 16.0)))

series399.0ms

Counts

3 → 9

Calls

3 calls:

228.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
119.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
53.0ms	(+ (* x y) (* z (/ t 16.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	288	548
1	1068	527
2	5001	520

prune128.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0b

Counts

60 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
1.3b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
1.3b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
1.3b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
26×	`frac-sub`
16×	`frac-times`
15×	`add-cube-cbrt`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 123

Calls

4 calls:

20.0ms	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
8.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
8.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
8.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
148.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
135.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
139.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	444	3157
1	1491	3034
2	5001	2864

prune445.0ms

Filtered

135 candidates to 96 candidates (71.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	135	3	138

Merged error: 0b

Counts

138 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.1b	(pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3)
0.4b	(/ (* z t) 16.0)
44.8b	(cbrt (pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
16×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`pow1`
4×	`cube-div` `distribute-lft-out--`
3×	`pow-unpow` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `pow-exp` `prod-exp` `clear-num` `sum-log` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `associate-/l*` `rem-cube-cbrt`

Counts

4 → 88

Calls

4 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
12.0ms	(pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3)
4.0ms	(/ (* z t) 16.0)
15.0ms	(cbrt (pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3))

series3.9m

Counts

4 → 12

Calls

4 calls:

248.0ms	(+ (* x y) (/ (* z t) 16.0))
3.9m	(pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3)
20.0ms	(/ (* z t) 16.0)
137.0ms	(cbrt (pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	437	1021
1	1961	950
2	5003	944

prune221.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Merged error: 0b

Counts

103 → 3

regimes452.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

655.0ms

11935×

body

valid