Details

Time bar (total: 16.9s)

sample32.0ms

Algorithm
intervals
Results
8.0ms270×body80valid
8.0ms296×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

localize11.0ms

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))

rewrite42.0ms

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:
13.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))
9.0ms
(* 3.0 (sqrt x))

series140.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
55.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
39.0ms
(* 3.0 (sqrt x))

simplify56.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0571871
12234635
25001629

prune247.0ms

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

rewrite247.0ms

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)))
159.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ 1.0 (* x 9.0))
13.0ms
(/ (/ y 3.0) (sqrt x))

series157.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
47.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify169.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0239021085
1500116927

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (sqrt x) (/ y (cbrt 3.0)))
0.4b
(/ y (cbrt 3.0))
0.6b
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
3572×times-frac
1418×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
597×sqrt-prod
507×cbrt-prod
205×div-inv
166×associate-/r*
94×add-exp-log
60×div-exp
41×add-cbrt-cube
30×cbrt-undiv
19×associate-/l*
10×prod-exp associate-/r/
6×rec-exp 1-exp
4×pow1 expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 1388
Calls
4 calls:
7.0ms
(/ 1.0 (* x 9.0))
14.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
6.0ms
(/ y (cbrt 3.0))
70.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 1.0 (* x 9.0))
134.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
52.0ms
(/ y (cbrt 3.0))
115.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

simplify272.0ms

Algorithm
egg-herbie
Counts
1400 → 1400
Iterations

Useful iterations: 1 (76.0ms)

IterNodesCost
0474725413
1500124641

prune3.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (cbrt (cbrt 3.0)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (sqrt x) (/ y (cbrt (cbrt 3.0))))
0.5b
(/ (/ 1 (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt x) (/ y (cbrt (cbrt 3.0)))))

rewrite413.0ms

Algorithm
rewrite-expression-head
Rules
5102×times-frac
2025×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1521×cbrt-prod
840×sqrt-prod
259×div-inv
247×add-exp-log
232×associate-/r*
132×div-exp
77×add-cbrt-cube
73×prod-exp
57×cbrt-undiv
25×cbrt-unprod
19×associate-/l*
15×rec-exp 1-exp
10×associate-/r/
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 1931
Calls
4 calls:
7.0ms
(/ y (cbrt (cbrt 3.0)))
7.0ms
(/ 1.0 (* x 9.0))
21.0ms
(/ (sqrt x) (/ y (cbrt (cbrt 3.0))))
170.0ms
(/ (/ 1 (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt x) (/ y (cbrt (cbrt 3.0)))))

series981.0ms

Counts
4 → 12
Calls
4 calls:
310.0ms
(/ y (cbrt (cbrt 3.0)))
16.0ms
(/ 1.0 (* x 9.0))
523.0ms
(/ (sqrt x) (/ y (cbrt (cbrt 3.0))))
132.0ms
(/ (/ 1 (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt x) (/ y (cbrt (cbrt 3.0)))))

simplify384.0ms

Algorithm
egg-herbie
Counts
1943 → 1943
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0500252881

prune7.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes63.0ms

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
02420
12420

end0.0ms

sample885.0ms

Algorithm
intervals
Results
261.0ms8526×body80valid
243.0ms8513×body80nan