Details

Time bar (total: 4.7s)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
8.0ms276×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: 0.1b

localize13.0ms

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))))

rewrite47.0ms

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))))

series163.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* 6.0 (- x 1.0))
42.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
81.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify50.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377495
11642421
25001420

prune158.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

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:
44.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
16.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
21.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series189.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
39.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
71.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0439987
11809895
25003893

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt *-un-lft-identity
75×times-frac
52×add-cube-cbrt
48×cbrt-prod
42×unpow-prod-down cube-prod
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×add-exp-log add-cbrt-cube add-log-exp
6×flip3-+ flip-+
5×pow1 div-inv associate-/l*
3×pow-unpow associate-/r* sum-log
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp associate-+l+ cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
4 → 173
Calls
4 calls:
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
24.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
26.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

series295.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
84.0ms
(cbrt (pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))
104.0ms
(pow (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)

simplify84.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06442241
128322111
250012095

prune348.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite432.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
203×sqrt-prod
197×*-un-lft-identity
180×times-frac
93×add-cube-cbrt
60×associate-*r*
52×difference-of-squares
36×associate-*l*
26×distribute-lft-out distribute-lft-out--
20×add-exp-log add-cbrt-cube
14×associate-/l*
12×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv flip3-+ div-exp flip-+
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 283
Calls
4 calls:
15.0ms
(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))))))
35.0ms
(/ (- (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)))))

series890.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
352.0ms
(* (/ (+ (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))))))
238.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
229.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify171.0ms

Algorithm
egg-herbie
Counts
295 → 295
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
09985740
146955308
250035172

prune610.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes22.0ms

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

sample716.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid
243.0ms8072×body80nan