Details

Time bar (total: 5.3s)

sample82.0ms

Algorithm
intervals
Results
41.0ms103×body1280valid
19.0ms83×body640valid
6.0ms277×body80nan
5.0ms40×body320valid
2.0ms24×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

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×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:
10.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
118.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify133.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune169.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×*-un-lft-identity add-log-exp
4×difference-of-squares
2×diff-log distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg unpow-prod-down flip3-- sum-log add-cbrt-cube flip-- distribute-lft-out associate--r+ unpow2 sqr-pow
Counts
1 → 20
Calls
1 calls:
90.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series94.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify57.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0123209
1382192
21701192
35001192

prune54.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))
40.4b
(cbrt (pow (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 3))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
23×add-sqr-sqrt
20×*-un-lft-identity
12×unpow-prod-down difference-of-squares
9×cube-prod
7×add-log-exp
6×distribute-lft-out--
5×add-cube-cbrt
4×sqr-pow
3×distribute-lft-out unpow2
2×pow1 add-exp-log cube-div cbrt-div flip3-- diff-log add-cbrt-cube flip--
1×cube-mult sub-neg pow1/3 unpow3 sum-log rem-cbrt-cube associate--r+
Counts
2 → 55
Calls
2 calls:
89.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))
177.0ms
(cbrt (pow (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 3))

series194.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))
98.0ms
(cbrt (pow (- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 3))

simplify161.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0257614
1953602
24633602
35001602

prune111.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
0.0b
(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
5.9b
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
6.0b
(log (sqrt (- 1.0 eps)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
145×*-un-lft-identity
96×times-frac
92×log-prod
91×add-sqr-sqrt
75×sqrt-prod
61×add-cube-cbrt
38×associate-+r+
29×distribute-lft-out
15×distribute-lft-out-- difference-of-squares
11×pow1
10×add-exp-log
8×associate-+l+ log-pow associate-/l*
6×log-div sqrt-div associate-/r/ add-cbrt-cube
4×flip3-+ associate-/r* 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 → 194
Calls
4 calls:
15.0ms
(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
11.0ms
(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
6.0ms
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
3.0ms
(log (sqrt (- 1.0 eps)))

series695.0ms

Counts
4 → 12
Calls
4 calls:
310.0ms
(+ (log (sqrt (- 1.0 eps))) (log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps))))
95.0ms
(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
207.0ms
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
83.0ms
(log (sqrt (- 1.0 eps)))

simplify67.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
06842067
122321942
250021842

prune378.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

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
0159
1159

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s3361×body1280valid
551.0ms2591×body640valid
155.0ms8044×body80nan
149.0ms1219×body320valid
45.0ms631×body160valid
11.0ms198×body80valid