Details

Time bar (total: 4.5s)

sample92.0ms

Algorithm
intervals
Results
48.0ms110×body1280valid
19.0ms78×body640valid
6.0ms225×body80nan
6.0ms41×body320valid
2.0ms19×body160valid
0.0ms8×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1238

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.4b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite16.0ms

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×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
7.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049891113
149891113

prune139.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh000
Picked101
Done000
Total85590

Merged error: 0.1b

Counts
90 → 5

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

prune12.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 0.1b

Counts
5 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (neg (log (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
0.0b
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
5.4b
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
5.4b
(log (sqrt (+ 1.0 eps)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
151×*-un-lft-identity
108×add-sqr-sqrt
105×times-frac
96×log-prod
72×sqrt-prod
64×add-cube-cbrt
41×associate-+r+
24×distribute-lft-out
22×distribute-lft-out-- difference-of-squares
12×pow1
10×add-exp-log
9×log-pow
8×sqrt-div
7×associate-+l+ distribute-neg-in associate-/r*
6×associate-/r/ add-cbrt-cube
5×flip3-+ flip-+ associate-/l* add-log-exp
4×log-div distribute-rgt-neg-in
3×rem-log-exp div-inv
2×div-exp sum-log associate-/l/
1×cbrt-undiv +-commutative neg-sub0 associate-+l- associate-+r- flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub neg-log clear-num flip--
Counts
4 → 204
Calls
4 calls:
20.0ms
(+ (neg (log (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
8.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
8.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
4.0ms
(log (sqrt (+ 1.0 eps)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (neg (log (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
6.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
10.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
6.0ms
(log (sqrt (+ 1.0 eps)))

simplify50.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
054373250

prune350.0ms

Filtered
127 candidates to 216 candidates (-70.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2133216
Fresh123
Picked011
Done011
Total2147221

Merged error: 0.1b

Counts
221 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
5.4b
(log (sqrt (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
5.4b
(log (sqrt (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
5.4b
(log (sqrt (+ 1.0 eps)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
150×sqrt-prod
142×*-un-lft-identity
108×add-sqr-sqrt
105×times-frac
95×log-prod
64×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
17×distribute-lft-out
10×pow1 sqrt-div
9×add-exp-log log-pow
7×associate-/r*
6×associate-/r/ add-cbrt-cube
5×associate-/l*
4×log-div flip3-+ flip-+ add-log-exp
3×sqrt-pow1 pow1/2 rem-log-exp div-inv
2×associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
Counts
4 → 196
Calls
4 calls:
8.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
10.0ms
(log (sqrt (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
10.0ms
(log (sqrt (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
4.0ms
(log (sqrt (+ 1.0 eps)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
20.0ms
(log (sqrt (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
20.0ms
(log (sqrt (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
6.0ms
(log (sqrt (+ 1.0 eps)))

simplify61.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049633617
149633617

prune506.0ms

Filtered
124 candidates to 208 candidates (-67.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2062208
Fresh224
Picked011
Done022
Total2087215

Merged error: 0.0b

Counts
215 → 7

regimes48.0ms

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 (1.0ms)

IterNodesCost
01418
11418

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3346×body1280valid
632.0ms2517×body640valid
220.0ms8060×body80nan
196.0ms1277×body320valid
59.0ms657×body160valid
8.0ms203×body80valid

Profiling

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