Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

357×

body

valid

simplify55.0ms

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

localize13.0ms

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)

rewrite31.0ms

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))
12.0ms	(+ (- (+ (* 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)

series281.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
138.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
44.0ms	(+ (* x y) (/ (* z t) 16.0))
17.0ms	(/ (* z t) 16.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (33.0ms)

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

prune196.0ms

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

localize12.0ms

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)))

rewrite21.0ms

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:

10.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
7.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
4.0ms	(+ (* x y) (* z (/ t 16.0)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
81.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
43.0ms	(+ (* x y) (* z (/ t 16.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (28.0ms)

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

prune133.0ms

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

localize17.0ms

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)))

rewrite52.0ms

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:

24.0ms	(* (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)))
7.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
8.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
143.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
146.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
136.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (37.0ms)

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

prune464.0ms

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

localize16.0ms

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))

rewrite36.0ms

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

series3.6m

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* x y) (/ (* z t) 16.0))
3.6m	(pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3)
16.0ms	(/ (* z t) 16.0)
140.0ms	(cbrt (pow (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (49.0ms)

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

prune234.0ms

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

regimes445.0ms

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

sample993.0ms

Algorithm

intervals

Results

531.0ms

11935×

body

valid

Details

sample37.0ms

simplify55.0ms

prune3.0ms

localize13.0ms

rewrite31.0ms

series281.0ms

simplify44.0ms

prune196.0ms

localize12.0ms

rewrite21.0ms

series260.0ms

simplify39.0ms

prune133.0ms

localize17.0ms

rewrite52.0ms

series653.0ms

simplify63.0ms

prune464.0ms

localize16.0ms

rewrite36.0ms

series3.6m

simplify61.0ms

prune234.0ms

regimes445.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample993.0ms

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