Details

Time bar (total: 7.0s)

sample39.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
13.0ms252×body80nan

simplify13.0ms

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

localize8.0ms

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))))

rewrite48.0ms

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

series156.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* 6.0 (- x 1.0))
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0377495
11642421
25001420

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite87.0ms

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)))
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))))

series193.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
81.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
76.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify58.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0439987
11809895
25003893

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
227×add-sqr-sqrt
200×sqrt-prod
197×*-un-lft-identity
180×times-frac
93×add-cube-cbrt
61×associate-*r*
52×difference-of-squares
39×associate-*l*
38×add-exp-log add-cbrt-cube
26×distribute-lft-out distribute-lft-out--
14×associate-/l*
13×prod-exp cbrt-unprod
12×associate-/r*
11×pow1
10×cbrt-undiv div-exp
9×unswap-sqr
8×sqrt-div associate-/r/
5×flip3-+ associate-*r/ flip-+
4×pow-prod-down div-inv associate-/l/ add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×flip3-- div-sub flip--
Counts
4 → 295
Calls
4 calls:
121.0ms
(* 6.0 (* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
151.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
34.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
32.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
431.0ms
(* 6.0 (* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
369.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
247.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
233.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
307 → 307
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010726453
150015853

prune682.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
508×sqrt-prod
397×*-un-lft-identity
302×times-frac
289×add-sqr-sqrt
153×add-cube-cbrt
100×distribute-lft-out
67×swap-sqr
39×associate-*r* associate-*l*
28×difference-of-squares
19×pow1 associate-/l*
18×sqrt-div associate-/r*
16×unswap-sqr
14×associate-/r/ distribute-lft-out--
12×add-exp-log add-cbrt-cube
9×flip3-+ flip-+
8×sqrt-pow1 pow1/2
7×div-inv
6×associate-/l/
5×pow-prod-up
4×add-log-exp
3×cbrt-undiv frac-2neg div-exp pow-prod-down clear-num pow-sqr
1×pow2 frac-times flip3-- pow-plus sqrt-unprod div-sub associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative flip-- cbrt-unprod
Counts
4 → 389
Calls
4 calls:
34.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
32.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
34.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
152.0ms
(* (sqrt (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))) (sqrt (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))

series985.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
243.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
239.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
233.0ms
(* (sqrt (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))) (sqrt (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))

simplify128.0ms

Algorithm
egg-herbie
Counts
401 → 401
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07537413
134286884
250016840

prune873.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample1.3s

Algorithm
intervals
Results
596.0ms7896×body80nan
490.0ms8000×body80valid