Details

Time bar (total: 3.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms281×body80valid
1.0ms9×body640valid
1.0ms8×body320valid
1.0ms4×body1280valid
0.0ms6×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
118×*-un-lft-identity
117×prod-diff
114×add-cube-cbrt
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
6×associate-*r*
5×pow1 add-exp-log add-cbrt-cube add-log-exp
4×difference-of-squares
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 186
Calls
3 calls:
9.0ms
(- (/ 2.0 3.0) z)
13.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series115.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (/ 2.0 3.0) z)
43.0ms
(* 6.0 (- (/ 2.0 3.0) z))
52.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04532251
115921519
250021387

prune281.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z))
0.0b
(* 6.0 (+ (+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z)) (fma (- z) 1 z)))
0.2b
(fma (- y x) (* 6.0 (+ (+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z)) (fma (- z) 1 z))) x)
1.0b
(pow (cbrt (/ 2.0 3.0)) 3)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
26×cbrt-prod
25×add-sqr-sqrt
23×add-cube-cbrt
18×times-frac
16×unpow-prod-down cube-prod
8×add-log-exp
7×pow1 add-exp-log distribute-lft-out
6×associate-*r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow associate-*l*
2×pow-pow distribute-rgt-neg-in flip3-+ associate-*r/ sum-log flip-+ div-inv
1×+-commutative cube-div neg-sub0 distribute-rgt-in cube-mult pow-to-exp associate-+r- cbrt-div fma-def distribute-lft-in pow1/3 unpow3 unsub-neg pow-prod-down neg-log pow-exp prod-exp *-commutative cbrt-unprod fma-udef rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 110
Calls
4 calls:
12.0ms
(+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z))
18.0ms
(* 6.0 (+ (+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z)) (fma (- z) 1 z)))
1.0ms
(fma (- y x) (* 6.0 (+ (+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z)) (fma (- z) 1 z))) x)
6.0ms
(pow (cbrt (/ 2.0 3.0)) 3)

series205.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z))
105.0ms
(* 6.0 (+ (+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z)) (fma (- z) 1 z)))
77.0ms
(fma (- y x) (* 6.0 (+ (+ (* 1 (pow (cbrt (/ 2.0 3.0)) 3)) (- z)) (fma (- z) 1 z))) x)
0.0ms
(pow (cbrt (/ 2.0 3.0)) 3)

simplify95.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0556845
12938705
25002690

prune315.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.6b
(fma (* (- y x) 6.0) (+ (fma (- z) 1 z) (- (/ 2.0 3.0) z)) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
13×fma-neg
5×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
4×div-inv
3×expm1-log1p-u associate-*r* log1p-expm1-u difference-of-squares
2×flip3-- associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 103
Calls
3 calls:
12.0ms
(- (/ 2.0 3.0) z)
7.0ms
(* (- y x) 6.0)
1.0ms
(fma (* (- y x) 6.0) (+ (fma (- z) 1 z) (- (/ 2.0 3.0) z)) x)

series124.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (/ 2.0 3.0) z)
35.0ms
(* (- y x) 6.0)
69.0ms
(fma (* (- y x) 6.0) (+ (fma (- z) 1 z) (- (/ 2.0 3.0) z)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0397883
11266619
25001606

prune244.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0))) z)
0.0b
(* (- y x) 6.0)
0.6b
(fma (* (- y x) 6.0) (+ (fma (- z) 1 z) (+ (- (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0))) z) (fma (- z) 1 z))) x)
1.0b
(/ 2.0 (cbrt 3.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
22×add-cube-cbrt
18×times-frac
12×cbrt-prod
8×add-exp-log
7×add-cbrt-cube
6×pow1 associate-/r* add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* prod-diff associate-/l*
2×flip3-- associate-*l/ flip--
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod fma-udef div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 93
Calls
4 calls:
15.0ms
(- (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0))) z)
7.0ms
(* (- y x) 6.0)
1.0ms
(fma (* (- y x) 6.0) (+ (fma (- z) 1 z) (+ (- (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0))) z) (fma (- z) 1 z))) x)
5.0ms
(/ 2.0 (cbrt 3.0))

series309.0ms

Counts
4 → 10
Calls
4 calls:
125.0ms
(- (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0))) z)
31.0ms
(* (- y x) 6.0)
153.0ms
(fma (* (- y x) 6.0) (+ (fma (- z) 1 z) (+ (- (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0))) z) (fma (- z) 1 z))) x)
0.0ms
(/ 2.0 (cbrt 3.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0378802
11389717
25001699

prune316.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12712
22712

end0.0ms

sample544.0ms

Algorithm
intervals
Results
275.0ms9457×body80valid
27.0ms256×body640valid
20.0ms151×body1280valid
15.0ms186×body320valid
7.0ms134×body160valid