Details

Time bar (total: 7.8s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80nan
7.0ms256×body80valid

simplify16.0ms

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

localize9.0ms

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))))

rewrite46.0ms

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:
10.0ms
(* 6.0 (- x 1.0))
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series159.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* 6.0 (- x 1.0))
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify51.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0377495
11642421
25001420

prune162.0ms

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

rewrite84.0ms

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:
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
35.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
28.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
74.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
80.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06412084
129421986
250011984

prune397.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
23×div-inv
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
10×cbrt-undiv
9×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num sum-log associate-/l/
2×flip3-+ flip-+
1×+-commutative associate-+l+ pow-flip inv-pow
Counts
4 → 450
Calls
4 calls:
15.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
35.0ms
(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
35.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
45.0ms
(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

series276.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
81.0ms
(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
76.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
83.0ms
(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

simplify103.0ms

Algorithm
egg-herbie
Counts
462 → 462
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
015937412
150016855

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- x 1.0))
0.0b
(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b
(/ (/ 1 (- x 1.0)) 6.0)
0.1b
(/ (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (/ 1 (- x 1.0)) 6.0))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
3492×times-frac
1660×add-sqr-sqrt *-un-lft-identity
1340×add-cube-cbrt
245×associate-/r/
160×distribute-lft-out-- difference-of-squares
140×div-inv
86×add-exp-log
78×associate-/r*
69×flip3-+ flip-+
64×div-exp
53×flip3-- flip--
42×associate-/l*
34×add-cbrt-cube
20×cbrt-undiv
12×rec-exp 1-exp
6×pow1
4×frac-2neg clear-num add-log-exp
2×pow-flip associate-/l/ inv-pow
Counts
4 → 1303
Calls
4 calls:
6.0ms
(/ 1 (- x 1.0))
18.0ms
(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
17.0ms
(/ (/ 1 (- x 1.0)) 6.0)
68.0ms
(/ (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (/ 1 (- x 1.0)) 6.0))

series195.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- x 1.0))
58.0ms
(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
27.0ms
(/ (/ 1 (- x 1.0)) 6.0)
83.0ms
(/ (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ (/ 1 (- x 1.0)) 6.0))

simplify276.0ms

Algorithm
egg-herbie
Counts
1315 → 1315
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
0500128343

prune3.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes15.0ms

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
0188
1188

end0.0ms

sample612.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid
206.0ms7958×body80nan