Details

Time bar (total: 3.1s)

analyze12.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify660.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
078611
178611

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:
7.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
2.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050971256

prune153.0ms

Filtered
68 candidates to 100 candidates (-47.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh000
Picked101
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
40×times-frac
36×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
8×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
7×distribute-lft-out--
6×associate-/l* add-log-exp
4×pow1 flip3-+ flip-+ div-inv difference-of-squares
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 100
Calls
4 calls:
5.0ms
(/ x (+ 1.0 x))
5.0ms
(/ 1.0 (+ 1.0 x))
1.0ms
(atan (sqrt (- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))))
21.0ms
(- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))

series11.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (+ 1.0 x))
2.0ms
(/ 1.0 (+ 1.0 x))
2.0ms
(atan (sqrt (- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))))
4.0ms
(- (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049711265
149711265

prune173.0ms

Filtered
83 candidates to 112 candidates (-34.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done000
Total1122114

Merged error: 0b

Counts
114 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
266×*-un-lft-identity
232×times-frac
226×add-sqr-sqrt
164×cbrt-prod
140×sqrt-prod
136×add-cube-cbrt
124×associate-*r*
34×add-exp-log distribute-lft-out
31×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
16×cbrt-div associate-/l*
14×associate-/r*
12×prod-exp cbrt-unprod
11×pow1 frac-times associate-*l/
10×unswap-sqr
9×associate-*l*
8×cbrt-undiv flip3-- sqrt-div div-exp associate-/r/ flip--
4×flip3-+ associate-*r/ pow-prod-down flip-+ div-inv associate-/l/ add-log-exp
2×frac-2neg clear-num *-commutative
Counts
4 → 368
Calls
4 calls:
34.0ms
(* (* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))
9.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
9.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
27.0ms
(* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))
17.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
23.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
22.0ms
(* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))

simplify94.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049947008
149947008

prune1.0s

Filtered
218 candidates to 380 candidates (-74.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3800380
Fresh000
Picked011
Done011
Total3802382

Merged error: 0b

Counts
382 → 2

regimes31.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
12915

end0.0ms

sample490.0ms

Algorithm
intervals
Results
386.0ms8000×body80valid

Profiling

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