Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms249×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2133
3133

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 18
Calls
1 calls:
3.0ms
(sqrt (- 1.0 (* x x)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(sqrt (- 1.0 (* x x)))

simplify83.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0165131
1568128
22782126
35001123

prune52.0ms

Filtered
21 candidates to 18 candidates (85.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New19221
Fresh000
Picked101
Done000
Total20222

Merged error: 0b

Counts
22 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
0.0b
(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
0.1b
(pow (* x x) 3)
0.1b
(* (* x x) (* x x))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
225×sqrt-prod
184×add-sqr-sqrt
144×times-frac
124×pow1
112×difference-of-squares
84×*-un-lft-identity
70×add-cube-cbrt
57×unpow-prod-down cube-prod sqr-pow
37×pow-prod-up
24×pow-prod-down associate-/l*
23×pow-sqr
21×add-exp-log add-cbrt-cube
19×pow-plus
14×pow2
9×prod-exp cbrt-unprod
7×difference-cubes distribute-lft-out--
6×pow-pow sqrt-div associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×flip3-+ pow-exp associate-/r/ flip-+ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp rem-sqrt-square sqrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 unpow3 swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative flip-- hypot-def div-inv unswap-sqr
Counts
4 → 304
Calls
4 calls:
11.0ms
(sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
31.0ms
(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
4.0ms
(pow (* x x) 3)
9.0ms
(* (* x x) (* x x))

series282.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
134.0ms
(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
45.0ms
(pow (* x x) 3)
31.0ms
(* (* x x) (* x x))

simplify120.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07075964
126845610
250025511

prune607.0ms

Filtered
316 candidates to 146 candidates (46.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3151316
Fresh101
Picked011
Done000
Total3162318

Merged error: 0b

Counts
318 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (/ (- (pow 1.0 3) (pow (* x x) 3)) (fma (pow x 2) (+ (pow x 2) 1.0) (* 1.0 1.0))))
0.0b
(/ (- (pow 1.0 3) (pow (* x x) 3)) (fma (pow x 2) (+ (pow x 2) 1.0) (* 1.0 1.0)))
0.1b
(pow (* x x) 3)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
170×add-sqr-sqrt
127×times-frac
112×difference-of-squares
69×*-un-lft-identity
67×sqrt-prod
57×unpow-prod-down cube-prod sqr-pow
55×add-cube-cbrt
21×associate-/l*
12×pow1
8×add-exp-log add-cbrt-cube
7×difference-cubes distribute-lft-out--
6×pow-pow
3×expm1-log1p-u pow-unpow associate-/r* log1p-expm1-u add-log-exp
2×rem-sqrt-square pow-exp div-inv associate-/l/ rem-cube-cbrt
1×cbrt-undiv pow2 cube-mult pow-to-exp flip3-- frac-2neg sqrt-pow1 pow-plus pow1/2 sqrt-div unpow3 div-sub div-exp pow-prod-down prod-exp clear-num pow-sqr pow-prod-up flip-- cbrt-unprod
Counts
3 → 213
Calls
3 calls:
15.0ms
(sqrt (/ (- (pow 1.0 3) (pow (* x x) 3)) (fma (pow x 2) (+ (pow x 2) 1.0) (* 1.0 1.0))))
20.0ms
(/ (- (pow 1.0 3) (pow (* x x) 3)) (fma (pow x 2) (+ (pow x 2) 1.0) (* 1.0 1.0)))
5.0ms
(pow (* x x) 3)

series373.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(sqrt (/ (- (pow 1.0 3) (pow (* x x) 3)) (fma (pow x 2) (+ (pow x 2) 1.0) (* 1.0 1.0))))
193.0ms
(/ (- (pow 1.0 3) (pow (* x x) 3)) (fma (pow x 2) (+ (pow x 2) 1.0) (* 1.0 1.0)))
42.0ms
(pow (* x x) 3)

simplify97.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06013903
122443796
250023767

prune602.0ms

Filtered
222 candidates to 144 candidates (64.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2220222
Fresh000
Picked011
Done011
Total2222224

Merged error: 0b

Counts
224 → 2

regimes23.0ms

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
01511
11511

end0.0ms

sample428.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid
117.0ms8139×body80nan