Details

Time bar (total: 4.6s)

sample106.0ms

Algorithm
intervals
Results
53.0ms108×body1280valid
22.0ms80×body640valid
10.0ms270×body80nan
7.0ms39×body320valid
2.0ms21×body160valid
0.0ms8×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08712
18712

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 58.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.2b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
10.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify32.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050461107

prune134.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
Done000
Total85489

Merged error: 0.2b

Counts
89 → 4

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.2b

Counts
4 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
0.0b
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
6.2b
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
209×*-un-lft-identity
140×times-frac
137×add-sqr-sqrt
116×cbrt-prod
79×add-cube-cbrt
78×unpow-prod-down cube-prod
61×log-prod
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
10×add-exp-log
9×add-cbrt-cube
7×flip3-- flip-- div-inv
6×pow1
5×associate-/r*
4×associate-/l* add-log-exp
3×cube-div cube-mult pow-unpow unpow3 sqr-pow
2×cbrt-undiv cbrt-div pow1/3 div-exp pow-exp log-pow associate-/l/ rem-cube-cbrt
1×pow-to-exp log-div pow-pow frac-2neg flip3-+ rem-log-exp clear-num rem-cbrt-cube flip-+
Counts
4 → 257
Calls
4 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
11.0ms
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
10.0ms
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
13.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

series14.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
3.0ms
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
3.0ms
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
5.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

simplify55.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
053883747

prune251.0ms

Filtered
114 candidates to 269 candidates (-136.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2690269
Fresh022
Picked011
Done011
Total2694273

Merged error: 0.2b

Counts
273 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
0.0b
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
6.1b
(log (sqrt (+ 1.0 x)))
6.3b
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
148×*-un-lft-identity
108×add-sqr-sqrt
105×times-frac
96×log-prod
72×sqrt-prod
64×add-cube-cbrt
41×associate-+r+
22×distribute-lft-out distribute-lft-out-- difference-of-squares
11×pow1
10×add-exp-log
8×log-pow
7×associate-+l+ associate-/l*
6×log-div sqrt-div associate-/r/ add-cbrt-cube
5×associate-/r*
4×flip3-+ flip-+ add-log-exp
3×flip3-- rem-log-exp flip-- div-inv
2×associate-+l- div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+r- frac-2neg sqrt-pow1 pow1/2 clear-num sum-log
Counts
4 → 201
Calls
4 calls:
17.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
8.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
4.0ms
(log (sqrt (+ 1.0 x)))
8.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
7.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
6.0ms
(log (sqrt (+ 1.0 x)))
12.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049553222
149553222

prune381.0ms

Filtered
129 candidates to 213 candidates (-65.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2085213
Fresh011
Picked101
Done022
Total2098217

Merged error: 0.2b

Counts
217 → 8

regimes98.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01820
11820

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3443×body1280valid
707.0ms2484×body640valid
285.0ms7946×body80nan
211.0ms1214×body320valid
71.0ms667×body160valid
10.0ms192×body80valid

Profiling

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