Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms313×body80valid
1.0ms6×body1280valid
1.0ms7×body640valid
0.0ms5×body320valid
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

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

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:
12.0ms
(- (/ 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)

series108.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (/ 2.0 3.0) z)
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
50.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04532251
115921519
250021387

prune235.0ms

Filtered
195 candidates to 79 candidates (40.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1914195
Fresh011
Picked101
Done000
Total1925197

Merged error: 0.0b

Counts
197 → 5

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)

series84.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- 4.0 (* 6.0 z))
51.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify155.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0144177
1378156
21444155
34973139
45001139

prune97.0ms

Filtered
36 candidates to 28 candidates (77.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh224
Picked011
Done000
Total36541

Merged error: 0.0b

Counts
41 → 5

localize15.0ms

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))

rewrite106.0ms

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:
15.0ms
(- (/ 2.0 3.0) z)
21.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
11.0ms
(* (- y x) 6.0)
29.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series154.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
58.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
32.0ms
(* (- y x) 6.0)
42.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify120.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010163937
143622939
250012939

prune597.0ms

Filtered
316 candidates to 179 candidates (56.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3142316
Fresh123
Picked011
Done011
Total3156321

Merged error: 0b

Counts
321 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.2b
(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.2b
(* (* (- y x) 6.0) (- z))
0.3b
(* (/ 2.0 3.0) (- y x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
19×associate-*l*
18×associate-*r* prod-diff
16×add-exp-log add-cbrt-cube
13×pow1
11×distribute-rgt-in distribute-lft-in
10×times-frac
7×associate-*l/
6×prod-exp cbrt-unprod
5×pow-prod-down
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative unswap-sqr
2×frac-times sub-neg associate-*r/ distribute-lft-out-- difference-of-squares
1×cbrt-undiv neg-mul-1 div-exp distribute-rgt-neg-out fma-udef div-inv
Counts
4 → 126
Calls
4 calls:
6.0ms
(* (- y x) 6.0)
1.0ms
(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
12.0ms
(* (* (- y x) 6.0) (- z))
10.0ms
(* (/ 2.0 3.0) (- y x))

series140.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- y x) 6.0)
48.0ms
(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
32.0ms
(* (* (- y x) 6.0) (- z))
31.0ms
(* (/ 2.0 3.0) (- y x))

simplify71.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0611851
12905662
25002649

prune256.0ms

Filtered
138 candidates to 90 candidates (65.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh033
Picked011
Done022
Total1386144

Merged error: 0b

Counts
144 → 6

regimes125.0ms

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

sample550.0ms

Algorithm
intervals
Results
280.0ms9394×body80valid
27.0ms250×body640valid
22.0ms159×body1280valid
17.0ms202×body320valid
6.0ms106×body160valid