Details

Time bar (total: 5.3s)

sample41.0ms

Algorithm
intervals
Results
16.0ms392×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize14.0ms

Local error

Found 3 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))

rewrite166.0ms

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:
35.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
126.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series265.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- (+ (* 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))

simplify113.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0282548
11017527
24883513
35001513

prune176.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0)) c)
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.3b
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
32.8b
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
12×cbrt-prod
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow sum-log
2×+-commutative cube-mult associate-+l+ cbrt-div unpow3 distribute-lft-out sqr-pow
1×pow-to-exp associate-+l- sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube distribute-lft-out-- rem-cube-cbrt
Counts
4 → 76
Calls
4 calls:
286.0ms
(+ (- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0)) c)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
8.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
8.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

series368.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(+ (- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0)) c)
44.0ms
(+ (* x y) (/ (* z t) 16.0))
139.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
46.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0373780
11579720
25001709

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
0.3b
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))))
1.3b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
25.0b
(cbrt (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
40×flip3-+ flip-+
36×frac-times
20×add-sqr-sqrt
18×associate-*r/
13×pow1 cbrt-prod
12×add-cube-cbrt *-un-lft-identity associate-*l/
9×associate-*l*
8×add-exp-log
7×associate-*r*
6×add-cbrt-cube
5×unswap-sqr
4×pow1/3 add-log-exp
3×swap-sqr pow-prod-down
2×prod-exp *-commutative cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus cube-unmult pow-sqr pow-prod-up
Counts
4 → 118
Calls
4 calls:
29.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
31.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
10.0ms
(cbrt (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
43.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))))
117.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
141.0ms
(cbrt (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05752563
122302447
250012393

prune521.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (pow (cbrt (+ (* x y) (/ (* z t) 16.0))) 3) (/ (* a b) 4.0)) c)
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.6b
(pow (cbrt (+ (* x y) (/ (* z t) 16.0))) 3)
1.3b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt
9×cbrt-prod
6×unpow-prod-down cube-prod
5×pow1 add-exp-log
4×cbrt-div flip3-+ add-cbrt-cube flip-+
3×pow-unpow sum-log
2×+-commutative cube-div associate-+l+ pow-pow pow1/3 distribute-lft-out
1×cube-mult pow-to-exp associate-+l- sub-neg diff-log unpow3 pow-exp distribute-lft-out-- rem-cube-cbrt sqr-pow
Counts
4 → 73
Calls
4 calls:
300.0ms
(+ (- (pow (cbrt (+ (* x y) (/ (* z t) 16.0))) 3) (/ (* a b) 4.0)) c)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
8.0ms
(pow (cbrt (+ (* x y) (/ (* z t) 16.0))) 3)
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series425.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(+ (- (pow (cbrt (+ (* x y) (/ (* z t) 16.0))) 3) (/ (* a b) 4.0)) c)
42.0ms
(+ (* x y) (/ (* z t) 16.0))
117.0ms
(pow (cbrt (+ (* x y) (/ (* z t) 16.0))) 3)
117.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0432775
11549691
25002676

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes405.0ms

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

sample976.0ms

Algorithm
intervals
Results
517.0ms11827×body80valid