Details

Time bar (total: 20.5s)

sample34.0ms

Algorithm
intervals
Results
10.0ms276×body80valid
9.0ms290×body80nan

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
63×*-un-lft-identity
56×prod-diff
42×add-cube-cbrt
30×times-frac
23×associate--l+
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
14.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
54.0ms
(/ y (* 3.0 (sqrt x)))
41.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07682009
130771504
250021453

prune370.0ms

Filtered
166 candidates to 109 candidates (65.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New15610166
Fresh000
Picked101
Done000
Total15710167

Merged error: 0.0b

Counts
167 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
828×times-frac
722×add-sqr-sqrt
711×*-un-lft-identity
538×add-cube-cbrt
452×prod-diff
239×sqrt-prod
89×difference-of-squares
87×distribute-lft-out--
50×div-inv
23×associate--l+
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×fma-neg
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 640
Calls
4 calls:
6.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
11.0ms
(/ (/ y 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
53.0ms
(/ (/ y 3.0) (sqrt x))
24.0ms
(/ 1.0 (* x 9.0))

simplify187.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0239021085
1500116927

prune1.5s

Filtered
652 candidates to 307 candidates (47.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6475652
Fresh729
Picked101
Done000
Total6557662

Merged error: 0.0b

Counts
662 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ (/ 1.0 x) 9.0))
0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.2b
(/ (/ 1.0 x) 9.0)
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
1794×times-frac
1758×add-sqr-sqrt
1159×*-un-lft-identity
986×add-cube-cbrt
832×prod-diff
317×sqrt-prod
257×difference-of-squares
131×associate--l+
87×distribute-lft-out--
86×div-inv
26×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×fma-neg
9×associate-/r*
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub associate-/l/
1×associate--l-
Counts
4 → 1073
Calls
4 calls:
20.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
82.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
8.0ms
(/ (/ y 3.0) (sqrt x))

series150.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
45.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
15.0ms
(/ (/ 1.0 x) 9.0)
61.0ms
(/ (/ y 3.0) (sqrt x))

simplify323.0ms

Algorithm
egg-herbie
Counts
1085 → 1085
Iterations

Useful iterations: 1 (63.0ms)

IterNodesCost
0368236625
1500134297

prune2.7s

Filtered
1085 candidates to 620 candidates (57.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New108411085
Fresh066
Picked101
Done000
Total108571092

Merged error: 0b

Counts
1092 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
0.2b
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))
0.3b
(/ (/ 1.0 x) (sqrt 9.0))

rewrite986.0ms

Algorithm
rewrite-expression-head
Rules
9362×times-frac
7826×add-sqr-sqrt
4329×*-un-lft-identity
4158×add-cube-cbrt
3380×sqrt-prod
2718×prod-diff
1490×associate--l+
918×difference-of-squares
300×div-inv
108×associate-/l*
86×distribute-lft-out--
23×add-exp-log add-cbrt-cube
18×associate-/r*
15×fma-neg
12×cbrt-undiv div-exp
9×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg diff-log clear-num associate-/l/
2×sub-neg flip3-- frac-sub flip--
1×associate--l-
Counts
4 → 3587
Calls
4 calls:
383.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
31.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
8.0ms
(/ (/ y 3.0) (sqrt x))
8.0ms
(/ (/ 1.0 x) (sqrt 9.0))

series318.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
88.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
56.0ms
(/ (/ y 3.0) (sqrt x))
62.0ms
(/ (/ 1.0 x) (sqrt 9.0))

simplify1.1s

Algorithm
egg-herbie
Counts
3599 → 3599
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05002141005

prune11.1s

Filtered
3599 candidates to 2085 candidates (57.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New359903599
Fresh066
Picked011
Done000
Total359973606

Merged error: 0b

Counts
3606 → 7

regimes62.0ms

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
01410

end0.0ms

sample856.0ms

Algorithm
intervals
Results
296.0ms8517×body80valid
277.0ms8653×body80nan