Details

Time bar (total: 3.9s)

sample25.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
7.0ms277×body80nan

simplify14.0ms

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac associate-/r* sum-log
2×pow1 cbrt-undiv flip3-+ associate-*r/ div-exp associate-/r/ flip-+ associate-/l/
1×+-commutative associate-+l+ flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l*
Counts
2 → 38
Calls
2 calls:
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
25.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series113.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify36.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0310397
11293333
25001328

prune107.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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

rewrite85.0ms

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:
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
44.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
24.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series189.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(* 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

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 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
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.5b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
29×add-exp-log
23×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-cbrt-cube
14×div-exp
11×associate-/r/
10×associate-*r/ associate-/r*
8×add-log-exp
7×cbrt-undiv
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 prod-exp
3×rec-exp 1-exp sum-log
2×frac-2neg flip3-+ clear-num cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ pow-flip inv-pow
Counts
3 → 102
Calls
3 calls:
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
24.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
38.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
94.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
80.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05131241
124521082
250011034

prune205.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (* 4.0 (sqrt x)) 3)
6.8b
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
10.4b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
18.8b
(* (/ (* 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))))))

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-add
42×frac-times
41×flip3-+ flip-+
32×associate-*r/
25×flip3-- flip--
21×add-exp-log add-cbrt-cube
16×*-un-lft-identity
13×associate-*l/
12×add-sqr-sqrt
11×associate-*l*
10×add-cube-cbrt times-frac
9×pow1 add-log-exp
6×prod-exp cbrt-unprod
5×associate-/r*
4×cbrt-undiv div-exp associate-/r/
3×pow-unpow associate-*r* sum-cubes distribute-lft-out
2×distribute-rgt-in associate-+l+ associate-+r+ pow-pow distribute-lft-in pow-prod-down pow-exp sum-log div-inv associate-/l/ rem-cube-cbrt
1×+-commutative cube-mult pow-to-exp associate-+r- sub-neg unpow-prod-down frac-2neg diff-log unpow3 cube-prod clear-num *-commutative associate-/l* unswap-sqr sqr-pow
Counts
4 → 153
Calls
4 calls:
3.0ms
(pow (* 4.0 (sqrt x)) 3)
50.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
48.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
292.0ms
(* (/ (* 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))))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(pow (* 4.0 (sqrt x)) 3)
85.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
73.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
179.0ms
(* (/ (* 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))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015115386
150025015

prune673.0ms

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

sample831.0ms

Algorithm
intervals
Results
403.0ms8377×body80nan
242.0ms8000×body80valid