Details

sample57.0ms

Algorithm

intervals

Results

21.0ms

381×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	355	17
1	355	17

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

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

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:

4.0ms	(/ (* a b) 4.0)
13.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms	(+ (* x y) (/ (* z t) 16.0))
8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series86.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* a b) 4.0)
47.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
11.0ms	(+ (* x y) (/ (* z t) 16.0))
24.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5471	1204

prune109.0ms

Filtered

62 candidates to 81 candidates (-30.6%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (cbrt (pow (* (/ b 4.0) a) 3)))
0.3b	(pow (* (/ b 4.0) a) 3)
26.8b	(cbrt (pow (* (/ b 4.0) a) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-log-exp`
10×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`*-un-lft-identity`
7×	`pow1`
6×	`add-cube-cbrt`
4×	`cube-div` `associate-*l/`
3×	`pow-unpow` `cbrt-div` `pow-exp` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `flip3-+` `diff-log` `unpow3` `cube-prod` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow1/3` `div-exp` `pow-prod-down` `associate--l+` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 74

Calls

4 calls:

4.0ms	(+ (* x y) (/ (* z t) 16.0))
10.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (cbrt (pow (* (/ b 4.0) a) 3)))
5.0ms	(pow (* (/ b 4.0) a) 3)
2.0ms	(cbrt (pow (* (/ b 4.0) a) 3))

series49.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x y) (/ (* z t) 16.0))
26.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (cbrt (pow (* (/ b 4.0) a) 3)))
8.0ms	(pow (* (/ b 4.0) a) 3)
4.0ms	(cbrt (pow (* (/ b 4.0) a) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5095	1060

prune117.0ms

Filtered

63 candidates to 86 candidates (-36.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0.0b

Counts

89 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (/ z 16.0) t))
0.2b	(* (sqrt (+ (* x y) (* (/ z 16.0) t))) (sqrt (+ (* x y) (* (/ z 16.0) t))))
3.2b	(sqrt (+ (* x y) (* (/ z 16.0) t)))
3.2b	(sqrt (+ (* x y) (* (/ z 16.0) t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `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 → 98

Calls

4 calls:

5.0ms	(+ (* x y) (* (/ z 16.0) t))
10.0ms	(* (sqrt (+ (* x y) (* (/ z 16.0) t))) (sqrt (+ (* x y) (* (/ z 16.0) t))))
3.0ms	(sqrt (+ (* x y) (* (/ z 16.0) t)))
3.0ms	(sqrt (+ (* x y) (* (/ z 16.0) t)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x y) (* (/ z 16.0) t))
11.0ms	(* (sqrt (+ (* x y) (* (/ z 16.0) t))) (sqrt (+ (* x y) (* (/ z 16.0) t))))
23.0ms	(sqrt (+ (* x y) (* (/ z 16.0) t)))
23.0ms	(sqrt (+ (* x y) (* (/ z 16.0) t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5352	1596

prune145.0ms

Filtered

70 candidates to 110 candidates (-57.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

regimes1.2s

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	17
1	22	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

672.0ms

11898×

body

valid

Details

sample57.0ms

simplify8.0ms

prune10.0ms

localize13.0ms

rewrite31.0ms

series86.0ms

simplify35.0ms

prune109.0ms

localize15.0ms

rewrite23.0ms

series49.0ms

simplify32.0ms

prune117.0ms

localize15.0ms

rewrite25.0ms

series68.0ms

simplify52.0ms

prune145.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling