Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×body80valid
1.0ms11×body320valid
1.0ms5×body640valid
0.0ms2×body1280valid
0.0ms3×body160valid

simplify71.0ms

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: 0.2b

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

rewrite31.0ms

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:
8.0ms
(- (/ 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)

series111.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (/ 2.0 3.0) z)
37.0ms
(* 6.0 (- (/ 2.0 3.0) z))
56.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04532251
115921519
250021387

prune234.0ms

Filtered
195 candidates to 79 candidates (40.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1878195
Fresh011
Picked101
Done000
Total1889197

Merged error: 0.0b

Counts
197 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 4.0 (* 6.0 z))
0.2b
(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)

series86.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- 4.0 (* 6.0 z))
49.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify123.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0144177
1378156
21444155
34973139
45001139

prune79.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New33336
Fresh358
Picked101
Done000
Total37845

Merged error: 0.0b

Counts
45 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt prod-diff
13×*-un-lft-identity
11×add-cube-cbrt
10×distribute-rgt-in associate-+l+ distribute-lft-in
7×flip3-- flip-- add-log-exp
5×pow1 add-exp-log sub-neg associate-*l* add-cbrt-cube
4×frac-times
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×associate-*r/ associate-*l/
1×+-commutative fma-def flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
3.0ms
(- 4.0 (* 6.0 z))
12.0ms
(+ (* (- y x) (- 4.0 (* 6.0 z))) x)
8.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- 4.0 (* 6.0 z))
66.0ms
(+ (* (- y x) (- 4.0 (* 6.0 z))) x)
44.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0367599
11476555
25003553

prune195.0ms

Filtered
93 candidates to 66 candidates (71.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh167
Picked101
Done000
Total929101

Merged error: 0.0b

Counts
101 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 4.0 (* 6.0 z))
0.0b
(+ (+ (* (- y x) (- 4.0 (* 6.0 z))) (* (- y x) (fma (- z) 6.0 (* z 6.0)))) x)
0.1b
(* (- y x) (- 4.0 (* 6.0 z)))
41.7b
(fma (- z) 6.0 (* z 6.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt add-log-exp
9×prod-diff
7×flip3-- flip--
6×pow1 add-exp-log add-cbrt-cube
5×distribute-rgt-in distribute-lft-in associate-*l*
4×expm1-log1p-u frac-times fma-def log1p-expm1-u
3×sub-neg fma-neg associate-*r* sum-log
2×associate-*r/ associate-*l/ distribute-lft-out
1×+-commutative associate-+l+ flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 90
Calls
4 calls:
3.0ms
(- 4.0 (* 6.0 z))
13.0ms
(+ (+ (* (- y x) (- 4.0 (* 6.0 z))) (* (- y x) (fma (- z) 6.0 (* z 6.0)))) x)
8.0ms
(* (- y x) (- 4.0 (* 6.0 z)))
1.0ms
(fma (- z) 6.0 (* z 6.0))

series1.3s

Counts
4 → 12
Calls
4 calls:
34.0ms
(- 4.0 (* 6.0 z))
1.2s
(+ (+ (* (- y x) (- 4.0 (* 6.0 z))) (* (- y x) (fma (- z) 6.0 (* z 6.0)))) x)
50.0ms
(* (- y x) (- 4.0 (* 6.0 z)))
41.0ms
(fma (- z) 6.0 (* z 6.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0387754
11692673
25003665

prune225.0ms

Filtered
102 candidates to 75 candidates (73.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh178
Picked011
Done000
Total10110111

Merged error: 0.0b

Counts
111 → 10

regimes197.0ms

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
01911
11911

end0.0ms

sample538.0ms

Algorithm
intervals
Results
267.0ms9397×body80valid
26.0ms258×body640valid
24.0ms169×body1280valid
13.0ms173×body320valid
6.0ms119×body160valid