Details

Time bar (total: 4.3s)

sample24.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms237×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: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
27.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms
(* 6.0 (- x 1.0))
44.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series155.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
44.0ms
(* 6.0 (- x 1.0))
77.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify49.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377495
11642421
25001420

prune150.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
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))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×flip3-+ associate-*l* associate-/r* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+l+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 93
Calls
3 calls:
29.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
88.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
46.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series182.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
74.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
71.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0439987
11809895
25003893

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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

rewrite327.0ms

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:
183.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
43.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
44.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
45.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

series349.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)))
71.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
82.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
100.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

simplify113.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07352889
134372725
250022704

prune426.0ms

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

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt *-un-lft-identity
45×times-frac
43×cbrt-prod
33×add-cube-cbrt
24×associate-*r*
14×cbrt-div
11×add-exp-log
10×associate-*r/ distribute-lft-out-- difference-of-squares
9×pow1
8×add-cbrt-cube
6×frac-times associate-*l/ associate-/r/
5×associate-/l*
4×add-log-exp
3×flip3-+ pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+ div-inv
2×pow1/3 associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp associate-*l* clear-num *-commutative flip--
Counts
4 → 128
Calls
4 calls:
43.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
84.0ms
(* (* 6.0 (cbrt (* (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))) (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
43.0ms
(cbrt (* (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
22.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
98.0ms
(* (* 6.0 (cbrt (* (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))) (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
205.0ms
(cbrt (* (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
201.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06752394
125072217
250012182

prune408.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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

sample658.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
202.0ms8191×body80nan