Details

Time bar (total: 11.1s)

sample31.0ms

Algorithm
intervals
Results
9.0ms266×body80valid
8.0ms285×body80nan

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

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:
111.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
7.0ms
(/ 1.0 (* x 9.0))
8.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))

series147.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
14.0ms
(/ 1.0 (* x 9.0))
50.0ms
(/ y (* 3.0 (sqrt x)))
38.0ms
(* 3.0 (sqrt x))

simplify93.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07682009
130771504
250021453

prune543.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 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
(/ (/ 1.0 x) 9.0)
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite291.0ms

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:
242.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
10.0ms
(/ (/ 1.0 x) 9.0)
9.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(* 3.0 (sqrt x))

series325.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
14.0ms
(/ (/ 1.0 x) 9.0)
50.0ms
(/ y (* 3.0 (sqrt x)))
41.0ms
(* 3.0 (sqrt x))

simplify71.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014975667
150024917

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (* x 9.0))
0.3b
(/ (* 3.0 (sqrt x)) y)
0.3b
(* 3.0 (sqrt x))
0.7b
(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
37×add-exp-log
31×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
16×div-exp
11×associate-/r*
9×cbrt-undiv
7×pow1 div-inv associate-/l*
6×associate-*r* prod-exp
4×expm1-log1p-u sqrt-prod cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow
Counts
4 → 128
Calls
4 calls:
7.0ms
(/ 1.0 (* x 9.0))
13.0ms
(/ (* 3.0 (sqrt x)) y)
9.0ms
(* 3.0 (sqrt x))
14.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series167.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 1.0 (* x 9.0))
64.0ms
(/ (* 3.0 (sqrt x)) y)
39.0ms
(* 3.0 (sqrt x))
50.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify75.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0630778
12976667
25001623

prune374.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ 1 9.0) (/ 1.0 x))
3.8b
(+ (- (/ (/ 1.0 x) 9.0)) (- (/ (/ 1.0 x) 9.0) (/ y (* 3.0 (sqrt x)))))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
751×times-frac
446×add-sqr-sqrt
437×*-un-lft-identity
425×add-cube-cbrt
303×associate-+r+
301×prod-diff
90×fma-def
82×div-inv
45×distribute-rgt-neg-in
43×distribute-lft-neg-in
33×add-exp-log
23×add-cbrt-cube
19×associate-*r*
16×associate-*l*
14×add-log-exp
10×div-exp prod-exp
8×pow1 unswap-sqr
6×cbrt-undiv cbrt-unprod
4×expm1-log1p-u sum-log sqrt-prod log1p-expm1-u distribute-lft-out
3×frac-add distribute-neg-frac associate-/l*
2×rec-exp diff-log 1-exp pow-prod-down neg-log *-commutative distribute-lft-out--
1×+-commutative neg-sub0 frac-times associate-+l- associate-+r- neg-mul-1 sub-neg flip3-- frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num associate-/r* frac-sub flip-- flip-+
Counts
4 → 523
Calls
4 calls:
8.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(* 3.0 (sqrt x))
25.0ms
(* (/ 1 9.0) (/ 1.0 x))
256.0ms
(+ (- (/ (/ 1.0 x) 9.0)) (- (/ (/ 1.0 x) 9.0) (/ y (* 3.0 (sqrt x)))))

series169.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ y (* 3.0 (sqrt x)))
33.0ms
(* 3.0 (sqrt x))
15.0ms
(* (/ 1 9.0) (/ 1.0 x))
61.0ms
(+ (- (/ (/ 1.0 x) 9.0)) (- (/ (/ 1.0 x) 9.0) (/ y (* 3.0 (sqrt x)))))

simplify99.0ms

Algorithm
egg-herbie
Counts
535 → 535
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
023227272
150016648

prune5.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes78.0ms

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
0188
1188

end0.0ms

sample830.0ms

Algorithm
intervals
Results
288.0ms8526×body80valid
258.0ms8447×body80nan