Details

Time bar (total: 5.6s)

sample84.0ms

Algorithm
intervals
Results
46.0ms119×body1280valid
15.0ms73×body640valid
5.0ms257×body80nan
5.0ms41×body320valid
1.0ms17×body160valid
0.0ms6×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
4.3b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite18.0ms

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)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
127.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify133.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune183.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
24×prod-diff
23×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
13×unpow-prod-down
8×fma-neg
5×unpow2 sqr-pow
4×difference-of-squares
3×add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- fma-udef log1p-expm1-u associate--r+ distribute-lft-out--
Counts
1 → 52
Calls
1 calls:
7.0ms
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify135.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0203877
1600486
23825462
35001461

prune265.0ms

Filtered
55 candidates to 27 candidates (49.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

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))
4.3b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite25.0ms

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)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
159.0ms
(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
124.0ms
(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
127.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify58.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05141113
119201059
250011051

prune252.0ms

Filtered
151 candidates to 93 candidates (61.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
4.3b
(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.3b
(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.3b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
78×log-prod
60×times-frac
59×add-sqr-sqrt
35×add-cube-cbrt
15×distribute-lft-out
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod expm1-log1p-u log-pow add-cbrt-cube log1p-expm1-u add-log-exp
3×log-div flip3-+ div-exp flip-+ div-inv
1×pow1/3
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
320.0ms
(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
131.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
126.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
127.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
03881259
111091186
247351134
350011128

prune302.0ms

Filtered
143 candidates to 98 candidates (68.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s3347×body1280valid
548.0ms2548×body640valid
168.0ms8059×body80nan
154.0ms1244×body320valid
49.0ms667×body160valid
6.0ms194×body80valid