Details

Time bar (total: 4.7s)

sample106.0ms

Algorithm
intervals
Results
56.0ms117×body1280valid
17.0ms70×body640valid
11.0ms261×body80nan
7.0ms46×body320valid
1.0ms17×body160valid
0.0msbody80valid

simplify7.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.3b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
4.6b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

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
distribute-lft-out-- difference-of-squares
add-exp-log
associate-/l*
associate-/r* associate-/r/ add-cbrt-cube
pow1
flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
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)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify139.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0339657
11040623
24497605
35001605

prune146.0ms

Filtered
89 candidates to 59 candidates (33.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh000
Picked101
Done000
Total85590

Merged error: 0.1b

Counts
90 → 5

localize10.0ms

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 (2.0ms)

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
4.6b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
4.7b
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
272×*-un-lft-identity
135×times-frac
108×add-sqr-sqrt log-prod
84×distribute-lft-out
64×unpow-prod-down cube-prod
52×add-cube-cbrt
51×associate-+l+
28×distribute-lft-out-- difference-of-squares
16×sum-cubes
10×pow1 add-exp-log
associate-/r*
log-div flip3-+ associate-/r/ log-pow add-cbrt-cube flip-+
associate-/l*
add-log-exp
associate-+r+ rem-log-exp div-inv
associate-+r- div-exp associate-/l/
cbrt-undiv +-commutative associate-+l- flip3-- frac-2neg div-sub clear-num sum-log flip--
Counts
4 → 224
Calls
4 calls:
17.0ms
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
23.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
15.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
10.0ms
(+ (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 eps) (+ (pow 1.0 3) (pow eps 3))))
4.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify93.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07102695
124422600
250032565

prune433.0ms

Filtered
236 candidates to 129 candidates (45.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2333236
Fresh213
Picked101
Done011
Total2365241

Merged error: 0.1b

Counts
241 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
3.8b
(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
4.6b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
4.7b
(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
59×log-prod
46×add-sqr-sqrt
45×times-frac
25×add-cube-cbrt distribute-lft-out
20×unpow-prod-down cube-prod
14×pow1
11×add-exp-log difference-of-squares
distribute-lft-out--
flip3-- flip--
add-cbrt-cube
log-div sum-cubes
frac-times distribute-rgt-out-- swap-sqr rem-log-exp associate-*r* associate-*l* add-log-exp
log-pow
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ associate-/r/
pow2 flip3-+ pow-plus div-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 132
Calls
4 calls:
11.0ms
(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
8.0ms
(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
14.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.0ms
(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
6.0ms
(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
5.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
4.0ms
(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify88.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07131675
128781512
250031503

prune396.0ms

Filtered
144 candidates to 90 candidates (37.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1422144
Fresh123
Picked101
Done011
Total1445149

Merged error: 0.1b

Counts
149 → 5

regimes40.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0159
1159

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s3419×body1280valid
632.0ms2500×body640valid
224.0ms7994×body80nan
193.0ms1288×body320valid
54.0ms598×body160valid
8.0ms195×body80valid

Profiling

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