Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms233×body80nan

simplify13.0ms

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: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite19.0ms

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:
6.0ms
(* 6.0 (- x 1.0))
11.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series117.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 6.0 (- x 1.0))
77.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0326386
11507326
25002325

prune111.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
10.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
14.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series146.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
75.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0388878
11674800
25001798

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
72×*-un-lft-identity
63×exp-prod
60×times-frac
46×add-cube-cbrt
44×log-pow
25×associate-*r*
13×distribute-lft-out-- difference-of-squares
9×log-prod
8×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×associate-/l* add-log-exp
4×flip3-+ flip-+ div-inv
3×distribute-rgt-in distribute-lft-in div-sub associate-*l* associate-/r*
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 150
Calls
4 calls:
10.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
10.0ms
(exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
21.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
12.0ms
(log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
96.0ms
(exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
76.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
74.0ms
(log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05181612
119241470
250021460

prune410.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
46×*-un-lft-identity
32×add-cube-cbrt
30×times-frac
21×pow-unpow log-prod
12×unpow-prod-down
11×add-exp-log
8×add-cbrt-cube
7×pow1 distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
5×associate-/l*
4×rem-log-exp associate-*r* pow-exp associate-/r/ add-log-exp sqr-pow
3×div-sub associate-*l* associate-/r*
2×pow-to-exp e-exp-1 flip3-+ log-pow flip-+ div-inv associate-/l/ pow-sub
1×cbrt-undiv log-div flip3-- pow-pow frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 130
Calls
4 calls:
9.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
6.0ms
(* 6.0 (log (pow E (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
10.0ms
(pow E (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
3.0ms
(log (pow E (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

series525.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
177.0ms
(* 6.0 (log (pow E (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
116.0ms
(pow E (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
159.0ms
(log (pow E (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05451565
121851405
250011385

prune358.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

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

sample611.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid
203.0ms8115×body80nan