Details

Time bar (total: 13.0s)

sample30.0ms

Algorithm
intervals
Results
8.0ms319×body80nan
8.0ms280×body80valid

simplify18.0ms

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

localize12.0ms

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))

rewrite72.0ms

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:
52.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
60.0ms
(/ y (* 3.0 (sqrt x)))
36.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07682009
130771504
250021453

prune384.0ms

Filtered
166 candidates to 109 candidates (65.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

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

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
299×add-sqr-sqrt
242×*-un-lft-identity
221×add-cube-cbrt
178×prod-diff
131×associate--l+
25×div-inv difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
11×distribute-lft-out--
9×add-log-exp
7×fma-neg
6×pow1 associate-*r*
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×diff-log associate-*l*
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 327
Calls
4 calls:
203.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series166.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
56.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
45.0ms
(* 3.0 (sqrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014975667
150014916

prune1.1s

Filtered
339 candidates to 270 candidates (79.6%)
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))

rewrite401.0ms

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:
24.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
249.0ms
(- (- 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))

series153.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
50.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
57.0ms
(/ (/ y 3.0) (sqrt x))

simplify315.0ms

Algorithm
egg-herbie
Counts
1085 → 1085
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0368236625
1500134297

prune3.1s

Filtered
1085 candidates to 620 candidates (57.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))))

rewrite210.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×cbrt-unprod
2×associate-/l/
Counts
4 → 1437
Calls
4 calls:
5.0ms
(/ (/ 1.0 x) 9.0)
3.0ms
(/ y (cbrt 3.0))
9.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
52.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (/ 1.0 x) 9.0)
59.0ms
(/ y (cbrt 3.0))
142.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
119.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

simplify309.0ms

Algorithm
egg-herbie
Counts
1449 → 1449
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
0496225778
1500225778

prune5.0s

Filtered
1449 candidates to 1039 candidates (71.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes83.0ms

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
02013
12013

end0.0ms

sample781.0ms

Algorithm
intervals
Results
262.0ms8513×body80valid
241.0ms8532×body80nan