Details

Time bar (total: 6.7s)

sample39.0ms

Algorithm
intervals
Results
15.0ms378×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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

rewrite320.0ms

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:
237.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
11.0ms
(+ (* x y) (/ (* z t) 16.0))
71.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series304.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
45.0ms
(+ (* x y) (/ (* z t) 16.0))
96.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0282548
11017527
24883513
35001513

prune178.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite369.0ms

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:
263.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
33.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
32.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
36.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
171.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
159.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
165.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04443157
114913034
250012864

prune543.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

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)))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.9b
(pow (cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4)

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity
12×cbrt-div
11×add-cube-cbrt unpow-prod-down
6×frac-sub
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×pow-unpow flip3-- flip3-+ flip-- flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 77
Calls
4 calls:
31.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
32.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
32.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
67.0ms
(pow (cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4)

series1.0s

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
163.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
166.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
507.0ms
(pow (cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) 4)

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03911360
112611287
250011248

prune463.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.0625 (* t z)) (* x y))
0.0b
(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log sum-log add-cbrt-cube
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+
Counts
2 → 25
Calls
2 calls:
18.0ms
(+ (* 0.0625 (* t z)) (* x y))
106.0ms
(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (* 0.0625 (* t z)) (* x y))
89.0ms
(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))

simplify152.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0178256
1763241
23943238
35001238

prune80.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes619.0ms

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

sample1.1s

Algorithm
intervals
Results
492.0ms11985×body80valid