Details

Time bar (total: 2.8s)

sample24.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms233×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.3b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
23.0ms
(* 6.0 (- x 1.0))
46.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series108.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* 6.0 (- x 1.0))
71.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0326386
11507326
25002325

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 141
Calls
2 calls:
80.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
47.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
69.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05871975
127761891
250011889

prune348.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 6.0 (/ (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))) (* (- x 1.0) (- (+ x 1.0) (* 4.0 (sqrt x))))))
0.4b
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
16.1b
(/ (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))) (* (- x 1.0) (- (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
43×pow1
41×associate-/r/
32×flip3-- flip--
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
20×frac-times
17×pow-prod-down associate-/r*
10×associate-*r/ associate-*l/ prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-/l* difference-of-squares
6×div-inv add-log-exp
4×pow-sqr pow-prod-up
2×frac-2neg pow-plus associate--l+ clear-num associate-/l/
1×pow2 distribute-rgt-in sub-neg distribute-lft-in diff-log div-sub swap-sqr associate-*r* associate-*l* *-commutative
Counts
4 → 167
Calls
4 calls:
75.0ms
(/ 6.0 (/ (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))) (* (- x 1.0) (- (+ x 1.0) (* 4.0 (sqrt x))))))
31.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
38.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
89.0ms
(/ (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))) (* (- x 1.0) (- (+ x 1.0) (* 4.0 (sqrt x)))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ 6.0 (/ (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))) (* (- x 1.0) (- (+ x 1.0) (* 4.0 (sqrt x))))))
24.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
23.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
108.0ms
(/ (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))) (* (- x 1.0) (- (+ x 1.0) (* 4.0 (sqrt x)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08523370
150012783

prune444.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample681.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
201.0ms8007×body80nan