Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
8.0ms298×body80valid
1.0ms9×body1280valid
1.0ms10×body640valid
1.0ms7×body320valid
0.0ms2×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune7.0ms

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: 0.1b

Counts
2 → 2

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)

rewrite32.0ms

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)

series112.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (/ 2.0 3.0) z)
37.0ms
(* 6.0 (- (/ 2.0 3.0) z))
55.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04532251
115921519
250021387

prune225.0ms

Filtered
195 candidates to 79 candidates (40.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1905195
Fresh011
Picked101
Done000
Total1916197

Merged error: 0.0b

Counts
197 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 4.0 (* 6.0 z))
0.1b
(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef
Counts
2 → 30
Calls
2 calls:
3.0ms
(- 4.0 (* 6.0 z))
1.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- 4.0 (* 6.0 z))
49.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify127.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0144177
1378156
21444155
34973139
45001139

prune76.0ms

Filtered
36 candidates to 28 candidates (77.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New35136
Fresh145
Picked011
Done000
Total36642

Merged error: 0.0b

Counts
42 → 6

localize8.0ms

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

rewrite65.0ms

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)
11.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms
(* (- y x) 6.0)
17.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series155.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
61.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
28.0ms
(* (- y x) 6.0)
47.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify117.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010163937
143622939
250012939

prune575.0ms

Filtered
316 candidates to 179 candidates (56.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3133316
Fresh134
Picked101
Done011
Total3157322

Merged error: 0.0b

Counts
322 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 (/ 1 3.0) (- (* z 1)))
0.0b
(* (- y x) 6.0)
0.2b
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))
0.2b
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×*-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
8×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 90
Calls
4 calls:
1.0ms
(fma 2.0 (/ 1 3.0) (- (* z 1)))
6.0ms
(* (- y x) 6.0)
7.0ms
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))
1.0ms
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)

series156.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma 2.0 (/ 1 3.0) (- (* z 1)))
28.0ms
(* (- y x) 6.0)
36.0ms
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))
57.0ms
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)

simplify47.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0339933
11392717
25001710

prune246.0ms

Filtered
102 candidates to 69 candidates (67.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done011
Total1027109

Merged error: 0.0b

Counts
109 → 7

regimes119.0ms

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
0104
1104

end0.0ms

sample551.0ms

Algorithm
intervals
Results
275.0ms9387×body80valid
29.0ms253×body640valid
20.0ms152×body1280valid
17.0ms188×body320valid
6.0ms111×body160valid