Details

Time bar (total: 4.1s)

sample40.0ms

Algorithm
intervals
Results
18.0ms411×body80valid

simplify57.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

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

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

series286.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x y) (/ (* z t) 16.0))
81.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
24.0ms
(/ (* a b) 4.0)
141.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify40.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0374628
11499597
25001590

prune233.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
0.2b
(/ a (/ 4.0 b))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
46×add-cube-cbrt
20×add-log-exp
13×associate-/r*
9×add-exp-log add-cbrt-cube
6×sum-log
5×div-inv
4×pow1 diff-log
3×cbrt-undiv associate-+l+ flip3-+ div-exp flip-+ associate-/l* difference-of-squares
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg clear-num associate-/r/ flip--
Counts
4 → 120
Calls
4 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
22.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
20.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
6.0ms
(/ a (/ 4.0 b))

series287.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (* x y) (/ (* z t) 16.0))
83.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
140.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
19.0ms
(/ a (/ 4.0 b))

simplify61.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06011039
122981003
250011002

prune445.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
6.7b
(cbrt (/ (* a b) 4.0))
6.7b
(cbrt (/ (* a b) 4.0))
6.7b
(cbrt (/ (* a b) 4.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
30×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×times-frac
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
8.0ms
(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
3.0ms
(cbrt (/ (* a b) 4.0))
3.0ms
(cbrt (/ (* a b) 4.0))
6.0ms
(cbrt (/ (* a b) 4.0))

series445.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
100.0ms
(cbrt (/ (* a b) 4.0))
100.0ms
(cbrt (/ (* a b) 4.0))
100.0ms
(cbrt (/ (* a b) 4.0))

simplify124.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0253843
1865792
24388717
35001705

prune493.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes365.0ms

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
566.0ms11982×body80valid