Details

Time bar (total: 4.2s)

sample41.0ms

Algorithm
intervals
Results
19.0ms385×body80valid

simplify69.0ms

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

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize12.0ms

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))

rewrite2.0ms

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:
1.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms
(fma y x (fma (- (/ a 4.0)) b c))

series220.0ms

Counts
2 → 6
Calls
2 calls:
143.0ms
(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))

simplify75.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
076172
1185146
2562146
33117146
45002146

prune95.0ms

Filtered
26 candidates to 24 candidates (92.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh011
Picked011
Done000
Total24428

Merged error: 0.0b

Counts
28 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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

series142.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (* x y) (/ (* z t) 16.0))
84.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
17.0ms
(/ (* z t) 16.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04611041
11891780
25002778

prune211.0ms

Filtered
90 candidates to 62 candidates (68.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh112
Picked011
Done011
Total90494

Merged error: 0.0b

Counts
94 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))) (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))))
0.5b
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
0.5b
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
0.5b
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))) (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))))
1.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
1.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
1.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))

series836.0ms

Counts
4 → 12
Calls
4 calls:
391.0ms
(* (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))) (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))))
145.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
151.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
149.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))

simplify106.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
02181232
17791124
234271026
350011005

prune315.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done022
Total93497

Merged error: 0.0b

Counts
97 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (- 0 (/ (* a b) 4.0)) c)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×associate-+l+
22×*-un-lft-identity
21×prod-diff
17×add-sqr-sqrt
15×add-cube-cbrt
9×times-frac
6×add-log-exp
5×fma-def
3×div-inv
2×sum-log distribute-lft-out distribute-lft-out--
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l- sub-neg flip3-+ diff-log add-cbrt-cube flip-+ log1p-expm1-u difference-of-squares
Counts
1 → 45
Calls
1 calls:
10.0ms
(+ (- 0 (/ (* a b) 4.0)) c)

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ (- 0 (/ (* a b) 4.0)) c)

simplify250.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0198406
1662302
24581242
35001242

prune117.0ms

Filtered
48 candidates to 41 candidates (85.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done033
Total48452

Merged error: 0.0b

Counts
52 → 4

regimes509.0ms

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
531.0ms11909×body80valid