Details

Time bar (total: 4.3s)

sample329.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
8.0ms231×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
27.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series23.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
6.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
13.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0354753
11071709
25001688

prune580.0ms

Filtered
100 candidates to 70 candidates (30.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh000
Picked101
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 x))
0.0b
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
0.0b
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
0.0b
(sqrt (- 1.0 x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
78×*-un-lft-identity
60×add-sqr-sqrt
56×times-frac
40×add-cube-cbrt
10×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×sqrt-div associate-/l*
7×associate-/r*
6×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 128
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 x))
3.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
10.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
3.0ms
(sqrt (- 1.0 x))

series18.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ 1.0 x))
2.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
5.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
8.0ms
(sqrt (- 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03871280
112211220
250011157

prune739.0ms

Filtered
140 candidates to 82 candidates (41.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done000
Total1402142

Merged error: 0b

Counts
142 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
56×times-frac
52×add-sqr-sqrt
27×add-cube-cbrt
17×sqrt-prod
16×distribute-lft-out
14×distribute-lft-out--
12×associate-/r/
8×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
6×distribute-rgt-out-- flip3-+ flip-+ div-inv associate-/l* add-log-exp
5×pow1
4×sqrt-div
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num frac-sub flip-- sub-div
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 125
Calls
4 calls:
22.0ms
(sqrt (- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0))))
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (+ x 1.0))
22.0ms
(- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0))))
6.0ms
(/ x (+ x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
5.0ms
(- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0461975
11564939
25001914

prune1.3s

Filtered
137 candidates to 101 candidates (26.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done011
Total1372139

Merged error: 0b

Counts
139 → 2

regimes28.0ms

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
0127
1127

end0.0ms

sample903.0ms

Algorithm
intervals
Results
375.0ms8000×body80valid
268.0ms8038×body80nan

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