Details

Time bar (total: 3.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms303×body80valid
1.0ms6×body640valid
1.0ms7×body320valid
1.0ms4×body1280valid
0.0ms2×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune9.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.1b
(* 6.0 (- (/ 2.0 3.0) z))
0.2b
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite33.0ms

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)

series114.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (/ 2.0 3.0) z)
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
57.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04532251
115921519
250021387

prune228.0ms

Filtered
195 candidates to 79 candidates (40.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1896195
Fresh011
Picked101
Done000
Total1907197

Merged error: 0.0b

Counts
197 → 7

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)

series87.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- 4.0 (* 6.0 z))
50.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify127.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0144177
1378156
21444155
34973139
45001139

prune76.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh246
Picked011
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(- (/ 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:
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)
20.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series159.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
19.0ms
(- (/ 2.0 3.0) z)
29.0ms
(* (- y x) 6.0)
48.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify118.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010163937
143622939
250012939

prune563.0ms

Filtered
316 candidates to 179 candidates (56.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3142316
Fresh145
Picked011
Done101
Total3167323

Merged error: 0.0b

Counts
323 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
59.8b
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt z)
183.0ms
(cbrt z)
180.0ms
(cbrt z)
537.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
062267
1152229
2714219
35001201

prune231.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done011
Total61768

Merged error: 0.0b

Counts
68 → 7

regimes145.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample648.0ms

Algorithm
intervals
Results
336.0ms9439×body80valid
41.0ms271×body640valid
26.0ms159×body1280valid
19.0ms198×body320valid
7.0ms101×body160valid