Details

Time bar (total: 5.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms314×body80valid
1.0ms11×body640valid
1.0ms7×body1280valid
0.0ms3×body320valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)

rewrite34.0ms

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)

series116.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (/ 2.0 3.0) z)
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
59.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04532251
115921519
250021387

prune265.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
1.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

simplify113.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
074119
1202103
2700102
3388299
4500199

prune48.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)) x)
0.0b
(* 6.0 (- y x))
0.3b
(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
213×prod-diff
210×add-sqr-sqrt
202×*-un-lft-identity
196×add-cube-cbrt
146×times-frac
93×distribute-rgt-in distribute-lft-in
82×associate-+l+
16×div-inv
13×fma-neg
11×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*r/
8×flip3-- flip-- add-log-exp
7×sub-neg
5×difference-of-squares
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-out--
2×associate-*l/ *-commutative
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 324
Calls
4 calls:
9.0ms
(- (/ 2.0 3.0) z)
23.0ms
(+ (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)) x)
8.0ms
(* 6.0 (- y x))
18.0ms
(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

series156.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
60.0ms
(+ (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)) x)
34.0ms
(* 6.0 (- y x))
44.0ms
(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

simplify130.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09663826
147132661
250012661

prune708.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)) (cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)))
0.6b
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))
0.6b
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))
0.6b
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))

rewrite11.0ms

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:
6.0ms
(* (cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)) (cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)))
1.0ms
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))
1.0ms
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))
1.0ms
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))

series2.1s

Counts
4 → 12
Calls
4 calls:
741.0ms
(* (cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)) (cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)))
452.0ms
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))
437.0ms
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))
452.0ms
(cbrt (fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04251850
114661710
250021465

prune339.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1227
2237
3237

end0.0ms

sample556.0ms

Algorithm
intervals
Results
280.0ms9436×body80valid
28.0ms271×body640valid
22.0ms170×body1280valid
15.0ms194×body320valid
5.0ms95×body160valid