Details

Time bar (total: 12.5s)

sample37.0ms

Algorithm
intervals
Results
11.0ms291×body80nan
9.0ms277×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

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:
117.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))

series152.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
38.0ms
(* 3.0 (sqrt x))
52.0ms
(/ y (* 3.0 (sqrt x)))
20.0ms
(/ 1.0 (* x 9.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07682009
130771504
250021453

prune355.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite252.0ms

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:
13.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
156.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms
(/ (/ y 3.0) (sqrt x))
10.0ms
(/ 1.0 (* x 9.0))

series141.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
40.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
56.0ms
(/ (/ y 3.0) (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

simplify192.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0239021085
1500116927

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
34×times-frac
32×add-exp-log
29×*-un-lft-identity
27×add-cube-cbrt
25×associate-*l* add-cbrt-cube
13×associate-*r*
11×cbrt-prod associate-+r+
10×prod-exp cbrt-unprod
9×cbrt-undiv div-exp add-log-exp
8×pow1 unswap-sqr
7×prod-diff
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv
3×fma-def associate-/l*
2×pow-prod-down associate--l+ sum-log *-commutative
1×+-commutative distribute-rgt-in frac-times associate-+r- sub-neg associate-+l+ frac-2neg distribute-lft-in flip3-+ diff-log associate-*r/ associate-*l/ clear-num associate-/r* flip-+ fma-udef distribute-lft-out
Counts
4 → 139
Calls
4 calls:
286.0ms
(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 1.0) 9.0) (/ (* (cbrt 1.0) (cbrt 1.0)) x)))) (- (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (+ (- (/ (cbrt 1.0) 9.0)) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x)))))
9.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* (/ (cbrt 1.0) 9.0) (/ (* (cbrt 1.0) (cbrt 1.0)) x))

series322.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 1.0) 9.0) (/ (* (cbrt 1.0) (cbrt 1.0)) x)))) (- (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (+ (- (/ (cbrt 1.0) 9.0)) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x)))))
35.0ms
(* 3.0 (sqrt x))
59.0ms
(/ y (* 3.0 (sqrt x)))
99.0ms
(* (/ (cbrt 1.0) 9.0) (/ (* (cbrt 1.0) (cbrt 1.0)) x))

simplify93.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08451845
137491452
250011370

prune531.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

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))
0.4b
(/ 1.0 (* x 9.0))
1.0b
(/ 1 (/ (sqrt x) (/ y 3.0)))

rewrite538.0ms

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:
257.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
14.0ms
(/ (sqrt x) (/ y 3.0))
7.0ms
(/ 1.0 (* x 9.0))
27.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
66.0ms
(/ (sqrt x) (/ y 3.0))
15.0ms
(/ 1.0 (* x 9.0))
50.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))

simplify639.0ms

Algorithm
egg-herbie
Counts
1842 → 1842
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
0500178942

prune6.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

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
0137
1137

end0.0ms

sample905.0ms

Algorithm
intervals
Results
284.0ms8533×body80valid
247.0ms8522×body80nan