Details

sample42.0ms

Algorithm

intervals

Results

20.0ms

402×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.0b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* z t) 16.0)
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))

rewrite32.0ms

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:

4.0ms	(/ (* z t) 16.0)
8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
12.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
6.0ms	(+ (* x y) (/ (* z t) 16.0))

series284.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* z t) 16.0)
81.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
144.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
42.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (33.0ms)

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

prune186.0ms

Filtered

81 candidates to 60 candidates (74.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Merged error: 0.0b

Counts

82 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
2.7b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.7b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.7b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite28.0ms

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:

12.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
5.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
111.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
111.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
115.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	328	1262
1	1070	1181
2	4053	1092
3	5003	1082

prune322.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

2.7b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.7b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.7b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.7b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
5.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
115.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
119.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
115.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify130.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	187	668
1	492	624
2	1548	600
3	4973	596
4	5001	596

prune324.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.0b	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.3b	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
48×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
20×	`distribute-lft-out`
16×	`sqrt-div` `swap-sqr`
14×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2` `distribute-lft-out--`
9×	`flip3-+` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
11.0ms	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
11.0ms	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
27.0ms	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

series3.0s

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* x y) (/ (* z t) 16.0))
1.4s	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
1.4s	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
146.0ms	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

simplify60.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	347	1721
1	1455	1549
2	5001	1504

prune282.0ms

Filtered

126 candidates to 67 candidates (53.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	5	130

Merged error: 0.0b

Counts

130 → 5

regimes524.0ms

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

638.0ms

12003×

body

valid