Details

Time bar (total: 5.4s)

sample84.0ms

Algorithm
intervals
Results
45.0ms111×body1280valid
17.0ms78×body640valid
6.0ms280×body80nan
4.0ms35×body320valid
2.0ms24×body160valid
0.0ms8×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
6.6b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

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-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×expm1-log1p-u flip3-+ div-exp rem-log-exp flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 87
Calls
2 calls:
8.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
154.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune161.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87693
Fresh000
Picked101
Done000
Total88694

Merged error: 0.2b

Counts
94 → 6

localize9.0ms

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

prune11.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 0.2b

Counts
6 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
0.0b
(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
0.1b
(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
6.6b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
49×add-sqr-sqrt
40×times-frac
31×add-cube-cbrt
26×log-prod
14×cbrt-prod
11×distribute-lft-out
10×pow1 add-exp-log
9×distribute-lft-out-- difference-of-squares
8×unpow-prod-down cube-prod
7×add-cbrt-cube
5×log-pow associate-/l*
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult flip3-+ unpow3 div-exp rem-log-exp flip-+ div-inv associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp log-div flip3-- pow-pow frac-2neg pow1/3 div-sub pow-exp clear-num flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 139
Calls
4 calls:
8.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
2.0ms
(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
2.0ms
(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
156.0ms
(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
125.0ms
(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
118.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify62.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05141113
119201059
250011051

prune251.0ms

Filtered
151 candidates to 93 candidates (61.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1483151
Fresh134
Picked011
Done011
Total1498157

Merged error: 0.2b

Counts
157 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
0.0b
(+ (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
6.7b
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
6.8b
(log (/ 1 (sqrt (+ 1.0 eps))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
181×*-un-lft-identity
147×times-frac
136×log-prod
133×add-sqr-sqrt
89×add-cube-cbrt
88×sqrt-prod
41×associate-+r+
27×associate-+l+
26×distribute-lft-out
22×distribute-lft-out-- difference-of-squares
15×pow1 log-pow
14×add-exp-log
10×sqrt-div associate-/r/
8×fma-def
7×associate-/r*
6×pow-flip flip3-+ rem-log-exp add-cbrt-cube flip-+
5×div-inv associate-/l*
4×expm1-log1p-u log-div div-exp log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2 associate-/l/ inv-pow
1×cbrt-undiv +-commutative associate-+l- associate-+r- rec-exp flip3-- frac-2neg 1-exp div-sub log-rec clear-num sum-log flip--
Counts
4 → 262
Calls
4 calls:
9.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
23.0ms
(+ (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
8.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
6.0ms
(log (/ 1 (sqrt (+ 1.0 eps))))

series748.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
346.0ms
(+ (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
200.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
112.0ms
(log (/ 1 (sqrt (+ 1.0 eps))))

simplify97.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
08692768
131162616
250022478

prune479.0ms

Filtered
274 candidates to 167 candidates (60.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2713274
Fresh145
Picked101
Done112
Total2748282

Merged error: 0.2b

Counts
282 → 8

regimes81.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.4s3448×body1280valid
538.0ms2476×body640valid
164.0ms7959×body80nan
156.0ms1243×body320valid
46.0ms615×body160valid
7.0ms218×body80valid