Details

Time bar (total: 5.4s)

sample47.0ms

Algorithm
intervals
Results
22.0ms751×body80nan
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×times-frac
25×add-sqr-sqrt
21×add-cube-cbrt
16×sqrt-prod
8×log-prod
7×associate-/l*
5×add-exp-log
4×add-cbrt-cube distribute-lft-out difference-of-squares
3×pow1 log-div associate-/r* div-inv
2×sqrt-div associate-/l/ add-log-exp
1×cbrt-undiv distribute-rgt-out flip3-- frac-2neg flip3-+ div-exp rem-log-exp frac-add clear-num log-pow flip-- flip-+
Counts
2 → 65
Calls
2 calls:
10.0ms
(/ (sqrt (- 1.0 (* x x))) x)
19.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series437.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(/ (sqrt (- 1.0 (* x x))) x)
298.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0421699
11454665
25001654

prune179.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
54×times-frac
52×add-sqr-sqrt
48×sqrt-prod
42×add-cube-cbrt
14×associate-/l*
10×sqrt-div
8×add-exp-log add-cbrt-cube distribute-lft-out difference-of-squares
6×pow1 associate-/r* div-inv
4×associate-/l/ add-log-exp
2×cbrt-undiv rem-sqrt-square distribute-rgt-out flip3-- frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num flip-- flip-+
Counts
4 → 132
Calls
4 calls:
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
19.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
22.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series697.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ (sqrt (- 1.0 (* x x))) x)
139.0ms
(/ (sqrt (- 1.0 (* x x))) x)
207.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
219.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04891422
116331374
250011336

prune686.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (+ (/ 1.0 x) (* (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)))))
0.3b
(/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x))
0.3b
(/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x))
0.5b
(* (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
167×add-sqr-sqrt
164×times-frac
146×sqrt-prod
103×cbrt-prod
94×add-cube-cbrt *-un-lft-identity
64×associate-*r*
33×add-exp-log
22×add-cbrt-cube
21×unswap-sqr
14×cbrt-div sqrt-div
13×difference-of-squares
12×associate-/r*
11×associate-/l*
10×cbrt-undiv div-exp associate-*l* associate-/l/
9×prod-exp cbrt-unprod
7×pow1 flip3-- flip--
6×frac-times
5×log-div
4×associate-*r/ associate-*l/ div-inv add-log-exp
3×log-prod frac-add
2×frac-2neg clear-num
1×flip3-+ rem-log-exp pow-prod-down log-pow *-commutative flip-+
Counts
4 → 261
Calls
4 calls:
6.0ms
(log (+ (/ 1.0 x) (* (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)))))
13.0ms
(/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x))
8.0ms
(/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x))
35.0ms
(* (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)))

series701.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(log (+ (/ 1.0 x) (* (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)))))
139.0ms
(/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x))
135.0ms
(/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x))
129.0ms
(* (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)))

simplify73.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012715196
150014914

prune882.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
01217
11217

end0.0ms

sample1.4s

Algorithm
intervals
Results
720.0ms23594×body80nan
292.0ms8000×body80valid