Details

Time bar (total: 8.3s)

sample46.0ms

Algorithm
intervals
Results
17.0ms275×body80valid
15.0ms274×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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite70.0ms

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:
54.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
54.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07682009
130771504
250021453

prune380.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
41×*-un-lft-identity
40×times-frac
39×add-cube-cbrt
32×add-exp-log
28×associate-*r*
25×add-cbrt-cube
24×prod-diff
11×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
9×cbrt-undiv div-exp add-log-exp
8×pow1 unswap-sqr
6×div-inv
5×associate--l+
4×expm1-log1p-u sqrt-prod log1p-expm1-u
3×fma-neg diff-log associate-/l*
2×sub-neg flip3-- pow-prod-down *-commutative frac-sub flip--
1×associate--l- frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
4 → 157
Calls
4 calls:
17.0ms
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
25.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series290.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
62.0ms
(/ y (* 3.0 (sqrt x)))
36.0ms
(* 3.0 (sqrt x))
106.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
09822225
145531805
250011793

prune490.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ (pow (cbrt 1.0) 3) x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite913.0ms

Algorithm
rewrite-expression-head
Rules
1541×times-frac
1127×add-sqr-sqrt
918×*-un-lft-identity
897×add-cube-cbrt
618×prod-diff
536×associate--l+
250×cbrt-prod unpow-prod-down cube-prod
65×difference-of-squares
61×associate-/l*
47×sqr-pow
39×cube-mult unpow3
30×div-inv
21×add-exp-log
16×add-cbrt-cube
12×fma-neg
11×distribute-lft-out--
9×div-exp add-log-exp
6×pow1 associate-*r*
5×cbrt-undiv
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-to-exp pow-prod-down pow-exp *-commutative associate-/l/
Counts
4 → 954
Calls
4 calls:
781.0ms
(- (- 1.0 (/ (/ (pow (cbrt 1.0) 3) x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
19.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
4.0ms
(* 3.0 (sqrt x))

series175.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (- 1.0 (/ (/ (pow (cbrt 1.0) 3) x) 9.0)) (/ y (* 3.0 (sqrt x))))
57.0ms
(/ y (* 3.0 (sqrt x)))
18.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
48.0ms
(* 3.0 (sqrt x))

simplify233.0ms

Algorithm
egg-herbie
Counts
966 → 966
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
0305422093
1500121525

prune3.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1.0 (* (sqrt 9.0) x)) (sqrt 9.0))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* (sqrt 9.0) x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
45×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
25×add-exp-log add-cbrt-cube
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp
8×associate-/r*
6×pow1 associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
4 → 144
Calls
4 calls:
8.0ms
(/ (/ 1.0 (* (sqrt 9.0) x)) (sqrt 9.0))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* (sqrt 9.0) x))

series267.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (/ 1.0 (* (sqrt 9.0) x)) (sqrt 9.0))
65.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
66.0ms
(/ 1.0 (* (sqrt 9.0) x))

simplify68.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06101066
12615953
25001930

prune392.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02213
12213

end0.0ms

sample1.2s

Algorithm
intervals
Results
549.0ms8555×body80valid
411.0ms8432×body80nan