Details

Time bar (total: 4.0s)

sample74.0ms

Algorithm
intervals
Results
45.0ms398×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (11.0ms)

IterNodesCost
0337
1737
21537
32907
45466
58926
612806
717816
821656
924296
1024296

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))
0.0ms
(fma y x (fma (- (/ a 4.0)) b c))

series232.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))
76.0ms
(fma y x (fma (- (/ a 4.0)) b c))

simplify84.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
076172
1185146
2562146
33117146
45002146

prune104.0ms

Pruning

2 alts after pruning (1 fresh and 1 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))
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.2b
(/ (* z t) 16.0)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity prod-diff
19×add-cube-cbrt
12×times-frac
10×add-log-exp
8×add-exp-log add-cbrt-cube
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+
1×+-commutative sub-neg flip3-- fma-def frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 81
Calls
3 calls:
41.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms
(+ (* x y) (/ (* z t) 16.0))
3.0ms
(/ (* z t) 16.0)

series148.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
41.0ms
(+ (* x y) (/ (* z t) 16.0))
21.0ms
(/ (* z t) 16.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04611041
11891780
25002778

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.5b
(sqrt (+ (* x y) (/ (* z t) 16.0)))
1.5b
(sqrt (+ (* x y) (/ (* z t) 16.0)))
8.4b
(sqrt (/ (* a b) 4.0))
8.4b
(sqrt (/ (* a b) 4.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×sqrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×times-frac sqrt-div
4×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
2×flip3-+ flip-+ div-inv
Counts
4 → 74
Calls
4 calls:
7.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
10.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
2.0ms
(sqrt (/ (* a b) 4.0))
3.0ms
(sqrt (/ (* a b) 4.0))

series426.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
97.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
112.0ms
(sqrt (/ (* a b) 4.0))
114.0ms
(sqrt (/ (* a b) 4.0))

simplify136.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0266548
1899518
24076504
35001494

prune373.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes505.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample1.4s

Algorithm
intervals
Results
894.0ms12003×body80valid