Details

Time bar (total: 7.5s)

sample30.0ms

Algorithm
intervals
Results
9.0ms272×body80valid
8.0ms268×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
21×prod-diff
16×add-exp-log add-cbrt-cube
15×times-frac
6×pow1 associate-*r* associate-/l* add-log-exp
5×div-inv
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×fma-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
7.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series147.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
61.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
38.0ms
(* 3.0 (sqrt x))

simplify63.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0571871
12234635
25001629

prune258.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
213×add-sqr-sqrt
202×*-un-lft-identity
200×add-cube-cbrt
129×prod-diff
18×div-inv
16×add-exp-log add-cbrt-cube associate-/l*
6×pow1 associate-*r* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×fma-neg associate-*l* difference-of-squares
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- associate-/l/ distribute-lft-out--
Counts
4 → 269
Calls
4 calls:
23.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
4.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series145.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
59.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
38.0ms
(* 3.0 (sqrt x))

simplify72.0ms

Algorithm
egg-herbie
Counts
281 → 281
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015215187
150014040

prune622.0ms

Pruning

7 alts after pruning (7 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)))
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))

rewrite175.0ms

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:
6.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
99.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series156.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
22.0ms
(/ 1.0 (* x 9.0))
58.0ms
(/ (/ y 3.0) (sqrt x))

simplify179.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0239021085
1500116927

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (cbrt 1.0) x) (sqrt 9.0))
0.3b
(/ (/ (cbrt 1.0) x) (sqrt 9.0))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ (/ (cbrt 1.0) x) (sqrt 9.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 9.0)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
956×times-frac
631×add-sqr-sqrt
445×*-un-lft-identity
431×add-cube-cbrt
271×sqrt-prod
194×cbrt-prod
139×associate-*l*
97×add-exp-log
58×add-cbrt-cube
52×associate-*r*
51×div-exp unswap-sqr
44×associate-/l*
33×cbrt-undiv
30×div-inv
25×prod-exp
16×cbrt-unprod
12×associate-/r*
8×pow1
6×1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
1×frac-times associate-*r/ associate-*l/
Counts
4 → 653
Calls
4 calls:
11.0ms
(/ (/ (cbrt 1.0) x) (sqrt 9.0))
10.0ms
(/ (/ (cbrt 1.0) x) (sqrt 9.0))
4.0ms
(* 3.0 (sqrt x))
135.0ms
(* (/ (/ (cbrt 1.0) x) (sqrt 9.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 9.0)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (/ (cbrt 1.0) x) (sqrt 9.0))
97.0ms
(/ (/ (cbrt 1.0) x) (sqrt 9.0))
37.0ms
(* 3.0 (sqrt x))
193.0ms
(* (/ (/ (cbrt 1.0) x) (sqrt 9.0)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 9.0)))

simplify109.0ms

Algorithm
egg-herbie
Counts
665 → 665
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016918169
150027637

prune2.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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

sample822.0ms

Algorithm
intervals
Results
290.0ms8540×body80valid
262.0ms8604×body80nan