Details

Time bar (total: 5.1s)

sample30.0ms

Algorithm
intervals
Results
8.0ms273×body80valid
8.0ms279×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

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))

rewrite36.0ms

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:
13.0ms
(- (- 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))
5.0ms
(/ 1.0 (* x 9.0))

series158.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
59.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07682009
130771504
250021453

prune316.0ms

Filtered
166 candidates to 109 candidates (65.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1588166
Fresh000
Picked101
Done000
Total1598167

Merged error: 0.0b

Counts
167 → 8

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))

rewrite72.0ms

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:
35.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series162.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
58.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
44.0ms
(* 3.0 (sqrt x))

simplify76.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014975667
150014916

prune884.0ms

Filtered
339 candidates to 270 candidates (79.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3372339
Fresh167
Picked101
Done000
Total3398347

Merged error: 0.0b

Counts
347 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
83×*-un-lft-identity
81×prod-diff
62×add-cube-cbrt
56×times-frac
41×associate--l+
17×difference-of-squares
11×distribute-lft-out--
10×add-exp-log add-cbrt-cube div-inv
8×add-log-exp
6×fma-neg associate-*r*
5×pow1
4×sqrt-prod
3×expm1-log1p-u diff-log associate-*l* log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 157
Calls
3 calls:
16.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(* 3.0 (sqrt x))

series145.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
60.0ms
(/ y (* 3.0 (sqrt x)))
38.0ms
(* 3.0 (sqrt x))

simplify96.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08092384
131601682
250021591

prune344.0ms

Filtered
166 candidates to 111 candidates (66.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1633166
Fresh347
Picked101
Done000
Total1677174

Merged error: 0.0b

Counts
174 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.4b
(/ (/ y 3.0) (sqrt x))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
1041×add-sqr-sqrt
781×*-un-lft-identity
610×add-cube-cbrt
531×prod-diff
278×sqrt-prod
171×difference-of-squares
86×distribute-lft-out--
53×div-inv
41×associate--l+
13×associate-/l*
7×add-exp-log add-cbrt-cube add-log-exp
6×fma-neg associate-/r*
3×cbrt-undiv diff-log div-exp
2×pow1 expm1-log1p-u sub-neg flip3-- frac-sub flip-- log1p-expm1-u
1×associate--l- frac-2neg clear-num associate-/l/
Counts
2 → 678
Calls
2 calls:
53.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))

series110.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify201.0ms

Algorithm
egg-herbie
Counts
684 → 684
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0248424017
1500119286

prune1.3s

Filtered
684 candidates to 331 candidates (48.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New6831684
Fresh066
Picked011
Done000
Total6838691

Merged error: 0.0b

Counts
691 → 8

regimes71.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample837.0ms

Algorithm
intervals
Results
279.0ms8489×body80valid
272.0ms8576×body80nan

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