Details

Time bar (total: 3.3s)

sample25.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
7.0ms264×body80nan

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

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:
20.0ms
(* 6.0 (- x 1.0))
30.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
43.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series152.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* 6.0 (- x 1.0))
34.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0377495
11642421
25001420

prune141.0ms

Pruning

4 alts after pruning (4 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))) (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
78.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
28.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
33.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06412084
129421986
250011984

prune359.0ms

Pruning

4 alts after pruning (3 fresh and 1 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)))))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite170.0ms

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)))
89.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
48.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series186.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
67.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0439987
11809895
25003893

prune207.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.2b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
9×add-log-exp
7×pow1 cbrt-undiv
6×flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* sum-log cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+ pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 128
Calls
4 calls:
20.0ms
(* 6.0 (- x 1.0))
28.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
62.0ms
(/ 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)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 6.0 (- x 1.0))
34.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
78.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05581339
126681170
250011122

prune223.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample679.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid
206.0ms7948×body80nan