Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms289×body80valid
1.0ms11×body640valid
1.0ms7×body320valid
0.0ms4×body1280valid
0.0ms2×body160valid

simplify74.0ms

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)
12.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series110.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (/ 2.0 3.0) z)
41.0ms
(* 6.0 (- (/ 2.0 3.0) z))
50.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04532251
115921519
250021387

prune267.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out add-cbrt-cube log1p-expm1-u
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ fma-udef distribute-lft-out
Counts
2 → 27
Calls
2 calls:
5.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
1.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

series89.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
51.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

simplify89.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0170239
1670201
23293193
35001192

prune99.0ms

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
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.4b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
6×associate-*l*
5×sub-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
9.0ms
(- (/ 2.0 3.0) z)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms
(* (- y x) 6.0)
17.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series150.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
61.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
28.0ms
(* (- y x) 6.0)
42.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify112.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010163937
143622939
250012939

prune640.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
133×add-sqr-sqrt
123×*-un-lft-identity
117×add-cube-cbrt prod-diff
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
9×associate-*r*
8×pow1 add-exp-log associate-*l* add-cbrt-cube
6×add-log-exp
5×difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×sub-neg flip3-- flip-- distribute-lft-out--
2×associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log fma-udef
Counts
4 → 210
Calls
4 calls:
9.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)
12.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series134.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
28.0ms
(* (- y x) 6.0)
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
49.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05422345
120341603
250021519

prune396.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes194.0ms

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

sample511.0ms

Algorithm
intervals
Results
253.0ms9353×body80valid
28.0ms285×body640valid
17.0ms139×body1280valid
16.0ms196×body320valid
6.0ms128×body160valid