Details

Time bar (total: 4.6s)

sample54.0ms

Algorithm
intervals
Results
21.0ms268×body80valid
19.0ms265×body80nan

simplify32.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×times-frac associate-*r* associate-/l*
5×pow1
4×cbrt-undiv div-exp sqrt-prod
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 70
Calls
3 calls:
4.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series125.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ y (* 3.0 (sqrt x)))
21.0ms
(/ 1.0 (* x 9.0))
42.0ms
(* 3.0 (sqrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0390346
11563295
25001287

prune220.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
16×associate-/l*
15×add-exp-log add-cbrt-cube
6×associate-*r* div-inv
5×pow1 cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 119
Calls
3 calls:
4.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series125.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)
42.0ms
(* 3.0 (sqrt x))

simplify73.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0612711
12407655
25001651

prune379.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
216×times-frac
121×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
26×associate-/l*
13×div-inv
12×add-exp-log add-cbrt-cube
9×associate-/r*
6×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 186
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ (/ y 3.0) (sqrt x))

series84.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ 1.0 x) 9.0)
67.0ms
(/ (/ y 3.0) (sqrt x))

simplify91.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08381474
132561393
250011390

prune535.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
252×add-sqr-sqrt
174×*-un-lft-identity
168×add-cube-cbrt
110×sqrt-prod
88×associate-*r*
55×add-exp-log
37×add-cbrt-cube
25×div-exp associate-*l*
23×unswap-sqr
17×div-inv
16×associate-/l*
14×cbrt-undiv
12×prod-exp
8×pow1 cbrt-unprod
7×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 318
Calls
4 calls:
4.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ (/ 1 x) (sqrt 9.0))
5.0ms
(* 3.0 (sqrt x))
60.0ms
(* (/ 1.0 (sqrt 9.0)) (/ (/ 1 x) (sqrt 9.0)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ y (* 3.0 (sqrt x)))
61.0ms
(/ (/ 1 x) (sqrt 9.0))
40.0ms
(* 3.0 (sqrt x))
105.0ms
(* (/ 1.0 (sqrt 9.0)) (/ (/ 1 x) (sqrt 9.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
012692773
150012478

prune796.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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
0127

end0.0ms

sample1.5s

Algorithm
intervals
Results
662.0ms8557×body80valid
514.0ms8460×body80nan