Details

Time bar (total: 5.8s)

sample85.0ms

Algorithm
intervals
Results
44.0ms105×body1280valid
19.0ms89×body640valid
5.0ms245×body80nan
5.0ms37×body320valid
1.0ms20×body160valid
0.0ms5×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.9b
(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:
9.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
123.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify138.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune189.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
5.9b
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
5.9b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
176×*-un-lft-identity
108×log-prod
90×times-frac
72×add-sqr-sqrt
54×distribute-lft-out
51×associate-+l+
40×unpow-prod-down cube-prod
36×add-cube-cbrt
18×distribute-lft-out-- difference-of-squares
10×pow1 sum-cubes
7×add-exp-log log-pow
6×log-div
5×flip3-+ flip-+
4×fma-def associate-/r/
3×expm1-log1p-u associate-+r+ rem-log-exp add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-+r- div-inv
1×+-commutative associate-+l- div-exp sum-log
Counts
3 → 158
Calls
3 calls:
30.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
5.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
16.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series354.0ms

Counts
3 → 9
Calls
3 calls:
218.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
64.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
72.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify62.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
06132062
118921997
250011967

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
5.9b
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.9b
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.0b
(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
139×log-prod
134×*-un-lft-identity
112×times-frac
98×add-sqr-sqrt
70×add-cube-cbrt sqrt-prod
38×associate-+r+
30×associate-+l+
20×distribute-lft-out
14×distribute-lft-out-- difference-of-squares
12×pow1
11×add-exp-log
8×associate-/r/ log-pow
6×log-div flip3-+ flip-+
5×rem-log-exp
4×expm1-log1p-u fma-def add-cbrt-cube log1p-expm1-u div-inv add-log-exp
2×div-exp
1×+-commutative associate-+l- associate-+r- sum-log
Counts
4 → 201
Calls
4 calls:
23.0ms
(+ (log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
8.0ms
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
10.0ms
(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

series944.0ms

Counts
4 → 12
Calls
4 calls:
431.0ms
(+ (log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
215.0ms
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
70.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
228.0ms
(log (/ (sqrt (- 1.0 eps)) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
08633189
128033060
250012997

prune629.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes20.0ms

Accuracy

0% (0.4b 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
1.4s3486×body1280valid
526.0ms2458×body640valid
176.0ms8243×body80nan
155.0ms1242×body320valid
45.0ms612×body160valid
7.0ms202×body80valid