Details

Time bar (total: 3.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms306×body80valid
1.0msbody640valid
1.0msbody1280valid
0.0msbody320valid
0.0msbody160valid

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)

rewrite36.0ms

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
associate-*r*
pow1 add-exp-log add-cbrt-cube add-log-exp
difference-of-squares
expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
flip3-- associate-*r/ flip-- distribute-lft-out--
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)
16.0ms
(* 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:
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)

simplify61.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04532251
115921519
250021387

prune256.0ms

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
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
fma-neg prod-diff
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
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)

series89.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- 4.0 (* 6.0 z))
52.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify125.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0144177
1378156
21444155
34973139
45001139

prune84.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh235
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
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.4b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite66.0ms

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/
associate-*r*
flip3-- flip-- add-log-exp
associate-*l*
sub-neg difference-of-squares
expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
fma-def distribute-lft-out--
associate-*r/ *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
9.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
17.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series153.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
29.0ms
(* (- y x) 6.0)
63.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify115.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010163937
143622939
250012939

prune636.0ms

Filtered
316 candidates to 179 candidates (56.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3124316
Fresh134
Picked101
Done011
Total3148322

Merged error: 0.0b

Counts
322 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series744.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt x) (cbrt x))
180.0ms
(cbrt x)
185.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune247.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91293
Fresh066
Picked011
Done011
Total9110101

Merged error: 0b

Counts
101 → 10

regimes163.0ms

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

sample555.0ms

Algorithm
intervals
Results
274.0ms9446×body80valid
32.0ms281×body640valid
19.0ms147×body1280valid
15.0ms193×body320valid
7.0ms125×body160valid