Details

Time bar (total: 6.3s)

sample37.0ms

Algorithm
intervals
Results
16.0ms378×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0328
1698
21348
32258
43788
55988
68158
710358
811438
912118
1012118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* 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)) (/ (* a b) 4.0))

rewrite26.0ms

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:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
12.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
9.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series276.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (* x y) (/ (* z t) 16.0))
142.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
89.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0282548
11017527
24883513
35001513

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite50.0ms

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:
21.0ms
(* (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)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
142.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
139.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
149.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04443157
114913034
250012881

prune551.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (* z t) 16.0) (/ (* z t) 16.0))
0.3b
(* (* x y) (* x y))
1.9b
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
27.2b
(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log add-cbrt-cube
50×pow1
24×times-frac
23×add-sqr-sqrt prod-exp cbrt-unprod
21×add-cube-cbrt *-un-lft-identity
18×pow-prod-down
13×cbrt-undiv div-exp
8×swap-sqr associate-*r* associate-*l*
6×add-log-exp
5×pow-sqr pow-prod-up div-inv difference-of-squares
4×associate-/l*
3×flip3-- pow-plus associate-/r* flip--
2×pow2 associate-/r/ *-commutative associate-/l/
1×frac-times sub-neg frac-2neg diff-log div-sub associate-*r/ associate-*l/ clear-num unswap-sqr
Counts
4 → 139
Calls
4 calls:
10.0ms
(* (/ (* z t) 16.0) (/ (* z t) 16.0))
7.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
14.0ms
(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ (* z t) 16.0) (/ (* z t) 16.0))
31.0ms
(* (* x y) (* x y))
123.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
104.0ms
(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

simplify112.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06161413
137101153
250011117

prune405.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
5.0b
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
28.5b
(cbrt (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
52×frac-sub
40×frac-times
38×flip3-+ flip-+
34×cbrt-div
28×associate-*r/ associate-*l/
14×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×add-log-exp
4×pow1 add-exp-log flip3-- add-cbrt-cube flip-- difference-of-squares
3×pow1/3
2×associate--l+ distribute-lft-out--
1×distribute-rgt-in sub-neg distribute-lft-in diff-log
Counts
4 → 111
Calls
4 calls:
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)))
13.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
13.0ms
(cbrt (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
142.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
547.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
201.0ms
(cbrt (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

simplify103.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07823862
128783667
250023646

prune591.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes525.0ms

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)

IterNodesCost
0228
1228

end0.0ms

sample1.0s

Algorithm
intervals
Results
534.0ms12004×body80valid