Details

Time bar (total: 8.8s)

sample33.0ms

Algorithm
intervals
Results
9.0ms319×body80nan
9.0ms280×body80valid

simplify19.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
3.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series157.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
40.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0516590
12039534
25001532

prune232.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
148.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(/ (/ 1.0 x) 9.0)
8.0ms
(* 3.0 (sqrt x))

series161.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
60.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
41.0ms
(* 3.0 (sqrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0741956
12914892
25001892

prune383.0ms

Filtered
146 candidates to 112 candidates (76.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

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
(/ (/ 1.0 x) 9.0)
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
148×add-sqr-sqrt
130×*-un-lft-identity
123×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
14×add-exp-log add-cbrt-cube
13×div-inv
11×add-log-exp
9×associate-/r*
8×difference-of-squares
6×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg associate--l+ clear-num frac-sub associate-/l/
1×associate--l-
Counts
4 → 223
Calls
4 calls:
15.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
178.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
5.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ (/ y 3.0) (sqrt x))

series150.0ms

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)))
15.0ms
(/ (/ 1.0 x) 9.0)
59.0ms
(/ (/ y 3.0) (sqrt x))

simplify92.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010001921
138151832
250011832

prune569.0ms

Filtered
235 candidates to 169 candidates (71.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(/ y (cbrt 3.0))
0.3b
(/ (sqrt x) (/ y (cbrt 3.0)))
0.5b
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
3644×times-frac
1458×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
597×sqrt-prod
507×cbrt-prod
209×div-inv
168×associate-/r*
94×add-exp-log
61×div-exp
41×add-cbrt-cube
31×cbrt-undiv
29×associate-/l*
10×associate-/r/
9×prod-exp
6×rec-exp 1-exp
4×pow1 frac-2neg clear-num add-log-exp
3×cbrt-unprod
2×associate-/l/
Counts
4 → 1429
Calls
4 calls:
5.0ms
(/ (/ 1.0 x) 9.0)
3.0ms
(/ y (cbrt 3.0))
8.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
52.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

series350.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (/ 1.0 x) 9.0)
76.0ms
(/ y (cbrt 3.0))
132.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
116.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

simplify299.0ms

Algorithm
egg-herbie
Counts
1441 → 1441
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0494425736
1500225736

prune4.6s

Filtered
1441 candidates to 1031 candidates (71.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12013

end0.0ms

sample824.0ms

Algorithm
intervals
Results
285.0ms8513×body80valid
252.0ms8532×body80nan