Details

Time bar (total: 3.6s)

sample41.0ms

Algorithm
intervals
Results
20.0ms395×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
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:
1.0ms
(fma y x (fma (- (/ a 4.0)) b c))
1.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

series231.0ms

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

simplify81.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
076172
1185146
2562146
33117146
45002146

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×prod-diff
40×*-un-lft-identity
35×add-sqr-sqrt
31×add-cube-cbrt
24×associate-+l+
19×add-log-exp
18×times-frac
fma-def sum-log div-inv
diff-log
pow1 add-exp-log expm1-log1p-u flip3-+ fma-neg add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out--
+-commutative sub-neg associate--l+ frac-sub distribute-lft-out difference-of-squares
associate-+l- flip3-- flip--
Counts
3 → 105
Calls
3 calls:
14.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
9.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series288.0ms

Counts
3 → 9
Calls
3 calls:
152.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
85.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
50.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04591430
117481106
250021027

prune384.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.2b
(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
9.7b
(sqrt (/ (* a b) 4.0))
9.7b
(sqrt (/ (* a b) 4.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-prod
34×add-sqr-sqrt
21×pow1
20×add-cube-cbrt *-un-lft-identity
18×times-frac
12×swap-sqr
10×sqrt-pow1 pow1/2 associate-*r* associate-*l*
add-exp-log sqrt-div add-cbrt-cube div-inv add-log-exp
pow-prod-up
expm1-log1p-u log1p-expm1-u unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square
+-commutative pow2 frac-times fma-def flip3-+ pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod flip-+
Counts
4 → 120
Calls
4 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
11.0ms
(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
3.0ms
(sqrt (/ (* a b) 4.0))
3.0ms
(sqrt (/ (* a b) 4.0))

series374.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* x y) (/ (* z t) 16.0))
78.0ms
(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
126.0ms
(sqrt (/ (* a b) 4.0))
121.0ms
(sqrt (/ (* a b) 4.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0340685
11464612
25001588

prune531.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample1.0s

Algorithm
intervals
Results
543.0ms11886×body80valid