Details

analyze4.1s

Algorithm

sampling

Space saved by range analysis: 0.341297%

Space saved by search: 0.341297%

Guaranteed chance to sample good point: 15.820313%

sample42.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	130×	body	80	invalid

simplify60.0ms

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

prune6.0ms

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: 0.0b

Counts

2 → 1

localize14.0ms

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

rewrite37.0ms

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:

5.0ms	(/ (* z t) 16.0)
12.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms	(+ (* x y) (/ (* z t) 16.0))
13.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series93.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (* z t) 16.0)
51.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
12.0ms	(+ (* x y) (/ (* z t) 16.0))
27.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (38.0ms)

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

prune109.0ms

Filtered

60 candidates to 81 candidates (-35.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize19.0ms

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

rewrite55.0ms

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:

22.0ms	(* (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)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
66.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
66.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
65.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	437	3173
1	1490	3052
2	5001	2888

prune380.0ms

Filtered

96 candidates to 135 candidates (-40.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	4	138

Merged error: 0.0b

Counts

138 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.5b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.5b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b	(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
20×	`cbrt-div`
17×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`frac-sub`
4×	`pow1` `add-exp-log` `flip3--` `flip3-+` `pow1/3` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

9.0ms	(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)))
10.0ms	(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
64.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
66.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
69.0ms	(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

simplify108.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	291	1376
1	890	1306
2	3594	1290
3	5001	1270

prune366.0ms

Filtered

70 candidates to 83 candidates (-18.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize17.0ms

Local error

Found 4 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))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
3.0b	(exp (log (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

13.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms	(+ (* x y) (/ (* z t) 16.0))
9.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
16.0ms	(exp (log (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
12.0ms	(+ (* x y) (/ (* z t) 16.0))
31.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
48.0ms	(exp (log (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

simplify137.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	321	815
1	1090	777
2	4973	735
3	5002	729

prune110.0ms

Filtered

57 candidates to 79 candidates (-38.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

regimes1.4s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

analyze4.0s

Algorithm

sampling

Space saved by range analysis: 0.341297%

Space saved by search: 0.341297%

Guaranteed chance to sample good point: 15.820313%

sample1.2s

Algorithm

intervals

Results

460.0ms	8000×	body	80	valid
222.0ms	3965×	body	80	invalid

Details

analyze4.1s

sample42.0ms

simplify60.0ms

prune6.0ms

localize14.0ms

rewrite37.0ms

series93.0ms

simplify47.0ms

prune109.0ms

localize19.0ms

rewrite55.0ms

series317.0ms

simplify67.0ms

prune380.0ms

localize31.0ms

rewrite37.0ms

series266.0ms

simplify108.0ms

prune366.0ms

localize17.0ms

rewrite45.0ms

series140.0ms

simplify137.0ms

prune110.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze4.0s

sample1.2s

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