Details

Time bar (total: 2.9s)

sample40.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
13.0ms250×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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))))

rewrite31.0ms

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:
9.0ms
(* 6.0 (- x 1.0))
20.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 6.0 (- x 1.0))
82.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify45.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0326386
11507326
25002325

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-/r/
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
47.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
22.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series159.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
74.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify57.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0388878
11674800
25001798

prune192.0ms

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) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) (- (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b
(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.2b
(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
15.9b
(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
24×associate-*l*
20×add-exp-log add-cbrt-cube
16×distribute-rgt-in distribute-lft-in
11×pow1
9×associate-*r/
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×sub-neg associate--l+ add-log-exp
5×flip3-- flip-- associate-/l*
4×frac-times associate-*r* pow-prod-down associate-/r/
3×cbrt-undiv flip3-+ div-exp associate-/r* flip-+
2×associate-+r+ associate-*l/ *-commutative div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg div-sub clear-num sum-log
Counts
4 → 140
Calls
4 calls:
59.0ms
(* 6.0 (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) (- (+ x 1.0) (* 4.0 (sqrt x)))))
58.0ms
(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) (- (+ x 1.0) (* 4.0 (sqrt x))))
4.0ms
(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
14.0ms
(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* 6.0 (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) (- (+ x 1.0) (* 4.0 (sqrt x)))))
114.0ms
(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) (- (+ x 1.0) (* 4.0 (sqrt x))))
21.0ms
(+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
58.0ms
(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

simplify100.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07052618
133492334
250012315

prune349.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

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
0157
1157

end0.0ms

sample1.1s

Algorithm
intervals
Results
516.0ms8000×body80valid
395.0ms7795×body80nan