Details

Time bar (total: 10.6s)

sample39.0ms

Algorithm
intervals
Results
12.0ms271×body80valid
11.0ms264×body80nan

simplify20.0ms

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

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
(* 3.0 (sqrt x))
0.2b
(/ y (* 3.0 (sqrt x)))
0.8b
(/ 1.0 (* x 9.0))

rewrite38.0ms

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
(* 3.0 (sqrt x))
5.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))

series165.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
37.0ms
(* 3.0 (sqrt x))
64.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07682009
130771504
250021453

prune320.0ms

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 3 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))
0.8b
(/ 1.0 (* x 9.0))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
819×times-frac
705×add-sqr-sqrt
694×*-un-lft-identity
523×add-cube-cbrt
431×prod-diff
239×sqrt-prod
88×difference-of-squares
86×distribute-lft-out--
47×div-inv
23×associate--l+
16×associate-/l*
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×cbrt-undiv fma-neg div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 600
Calls
3 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ (/ y 3.0) (sqrt x))
8.0ms
(/ 1.0 (* x 9.0))

series160.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
77.0ms
(/ (/ y 3.0) (sqrt x))
24.0ms
(/ 1.0 (* x 9.0))

simplify184.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0232220584
1500216557

prune1.1s

Filtered
609 candidates to 284 candidates (46.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6072609
Fresh257
Picked101
Done000
Total6107617

Merged error: 0.0b

Counts
617 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
0.3b
(/ (sqrt x) (/ y 3.0))
0.6b
(/ 1 (/ (sqrt x) (/ y 3.0)))
0.8b
(/ 1.0 (* x 9.0))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
4177×times-frac
2715×add-sqr-sqrt
2689×*-un-lft-identity
2166×add-cube-cbrt
1291×prod-diff
787×sqrt-prod
266×difference-of-squares
261×distribute-lft-out--
153×div-inv
97×associate-/r*
35×add-exp-log
26×associate-/r/
23×associate--l+ add-cbrt-cube
20×div-exp
12×associate-/l*
11×cbrt-undiv
9×add-log-exp
5×pow1 fma-neg
4×expm1-log1p-u log1p-expm1-u
3×rec-exp frac-2neg diff-log 1-exp clear-num
2×sub-neg flip3-- frac-sub flip--
1×associate--l- pow-flip prod-exp cbrt-unprod inv-pow
Counts
4 → 1830
Calls
4 calls:
129.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
7.0ms
(/ (sqrt x) (/ y 3.0))
20.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))
5.0ms
(/ 1.0 (* x 9.0))

series379.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
257.0ms
(/ (sqrt x) (/ y 3.0))
61.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))
16.0ms
(/ 1.0 (* x 9.0))

simplify657.0ms

Algorithm
egg-herbie
Counts
1842 → 1842
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0500178942

prune5.1s

Filtered
1842 candidates to 1209 candidates (65.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New184201842
Fresh066
Picked011
Done000
Total184271849

Merged error: 0.0b

Counts
1849 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
0.3b
(/ 1 (sqrt x))
0.3b
(* (/ y 3.0) (/ 1 (sqrt x)))
0.8b
(/ 1.0 (* x 9.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
70×times-frac
64×*-un-lft-identity
56×add-cube-cbrt
35×add-exp-log
26×prod-diff
25×sqrt-prod
23×associate--l+ add-cbrt-cube
22×associate-*r*
13×associate-*l*
12×div-exp
10×unswap-sqr
9×prod-exp add-log-exp
8×pow1 frac-sub
7×cbrt-undiv associate-/r* div-inv
6×associate-/l*
5×flip3-- fma-neg flip-- cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×frac-times rec-exp pow-flip diff-log 1-exp associate-*r/ associate-*l/ un-div-inv
2×sub-neg frac-2neg clear-num distribute-lft-out-- difference-of-squares
1×associate--l- sqrt-pow1 pow1/2 pow-prod-down *-commutative inv-pow
Counts
4 → 199
Calls
4 calls:
11.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
4.0ms
(/ 1 (sqrt x))
14.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
27.0ms
(/ 1 (sqrt x))
61.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09821766
145291459
250011444

prune421.0ms

Filtered
211 candidates to 144 candidates (68.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2110211
Fresh055
Picked011
Done011
Total2117218

Merged error: 0.0b

Counts
218 → 7

regimes53.0ms

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
0178
1178

end0.0ms

sample1.1s

Algorithm
intervals
Results
379.0ms8538×body80valid
367.0ms8585×body80nan