Details

Time bar (total: 1.3s)

analyze5.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
33×times-frac
30×add-sqr-sqrt
25×add-cube-cbrt
16×sqrt-prod
8×log-prod distribute-lft-out add-log-exp
7×add-exp-log associate-/l*
6×add-cbrt-cube
5×pow1 div-inv difference-of-squares
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ sqrt-div frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 95
Calls
4 calls:
18.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
22.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
3.0ms
(- 1.0 (* x x))
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series33.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
4.0ms
(- 1.0 (* x x))
8.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0492956
11752902
25001898

prune177.0ms

Filtered
83 candidates to 107 candidates (-28.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh000
Picked011
Done000
Total1062108

Merged error: 0b

Counts
108 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
5.7b
(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
29×log-prod
28×sqrt-prod
25×exp-sum
8×difference-of-squares
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×log-div
4×exp-prod
3×associate-/r*
2×flip3-- exp-diff sqrt-div log-pow flip-- div-inv associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp rem-log-exp frac-add clear-num flip-+ rem-exp-log distribute-lft-out
Counts
4 → 112
Calls
4 calls:
5.0ms
(- 1.0 (* x x))
23.0ms
(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)
7.0ms
(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- 1.0 (* x x))
12.0ms
(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
8.0ms
(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05691150
119741088
250031065

prune224.0ms

Filtered
92 candidates to 124 candidates (-34.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126

Merged error: 0b

Counts
126 → 2

regimes93.0ms

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
0107
1107

end0.0ms

analyze5.0ms

Algorithm
search

sample526.0ms

Algorithm
intervals
Results
433.0ms8000×body80valid
0.0ms6×body80nan

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