Details

Time bar (total: 4.7s)

sample42.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
16.0ms268×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: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.4b
(/ (* 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))))

series121.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* 6.0 (- x 1.0))
78.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify43.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0326386
11507326
25002325

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))))

rewrite73.0ms

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:
48.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
22.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series156.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
75.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0388878
11674800
25001798

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
0.1b
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
132×add-sqr-sqrt
117×*-un-lft-identity
107×times-frac
102×cbrt-prod
73×add-cube-cbrt
65×unpow-prod-down cube-prod
51×associate-*r*
22×distribute-lft-out-- difference-of-squares
14×associate-/r/
11×add-exp-log
10×add-cbrt-cube
7×pow1 flip3-+ flip-+ div-inv unswap-sqr
5×associate-/l*
4×add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l* associate-/r*
2×cbrt-undiv cbrt-div div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-sub associate-*r/ pow-prod-down prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod
Counts
4 → 233
Calls
4 calls:
105.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
24.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
22.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
24.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

series369.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
68.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
107.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
85.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

simplify111.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07352889
134372725
250012704

prune594.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
5.0b
(/ (- x 1.0) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
9.0b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
16.9b
(* (* 6.0 (/ (- x 1.0) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
49×associate-*r/
48×pow1 frac-add
42×frac-times
41×*-un-lft-identity
40×flip3-+ flip-+
29×add-sqr-sqrt
27×add-exp-log add-cbrt-cube
25×flip3-- times-frac flip--
20×pow-prod-down
17×add-cube-cbrt
13×associate-*l/ prod-exp cbrt-unprod
9×add-log-exp
6×sum-cubes distribute-lft-out distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×associate-*r* pow-sqr pow-prod-up
2×cbrt-undiv distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in pow-plus div-exp associate-*l* sum-log associate-/r/ *-commutative associate-/l/
1×+-commutative pow2 associate-+r- sub-neg frac-2neg diff-log div-sub swap-sqr clear-num div-inv
Counts
4 → 178
Calls
4 calls:
15.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
50.0ms
(/ (- x 1.0) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
45.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
252.0ms
(* (* 6.0 (/ (- x 1.0) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
78.0ms
(/ (- x 1.0) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
82.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
186.0ms
(* (* 6.0 (/ (- x 1.0) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015005394
150015207

prune616.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

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
490.0ms8000×body80valid
384.0ms7862×body80nan