Details

Time bar (total: 4.8s)

sample123.0ms

Algorithm
intervals
Results
61.0ms108×body1280valid
26.0ms80×body640valid
10.0ms270×body80nan
8.0ms39×body320valid
2.0ms21×body160valid
0.0ms8×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1238

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
6.3b
(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)))

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)))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049891113
149891113

prune145.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 0.2b

Counts
90 → 6

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ eps (* (/ eps 1.0) (/ eps 1.0)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ eps (* (/ eps 1.0) (/ eps 1.0)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ eps (* (/ eps 1.0) (/ eps 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04966135
14966135

prune37.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New14014
Fresh055
Picked011
Done000
Total14620

Merged error: 0.2b

Counts
20 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b
(* eps (- eps 1.0))
6.3b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
6.3b
(log (+ (* 1.0 1.0) (* eps (- eps 1.0))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
188×*-un-lft-identity
90×times-frac
80×add-sqr-sqrt
55×distribute-lft-out
54×log-prod
44×unpow-prod-down cube-prod
38×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
12×add-exp-log
11×sum-cubes
9×associate-/r*
8×pow1 add-cbrt-cube
5×associate-*r* associate-/l*
4×associate-/r/ add-log-exp
3×log-div flip3-+ rem-log-exp associate-*l* flip-+
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ div-exp log-pow flip-- div-inv associate-/l/
1×cbrt-undiv frac-2neg div-sub pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
4 → 178
Calls
4 calls:
14.0ms
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
6.0ms
(* eps (- eps 1.0))
14.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
3.0ms
(log (+ (* 1.0 1.0) (* eps (- eps 1.0))))

series17.0ms

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

simplify82.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049592959
149592959

prune335.0ms

Filtered
100 candidates to 190 candidates (-90.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1873190
Fresh044
Picked101
Done011
Total1888196

Merged error: 0.2b

Counts
196 → 8

localize19.0ms

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)))) (+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0)))))))
0.0b
(+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0))))))
6.3b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
270×*-un-lft-identity
135×times-frac
107×add-sqr-sqrt
105×log-prod
82×distribute-lft-out
64×unpow-prod-down cube-prod
51×add-cube-cbrt associate-+l+
28×distribute-lft-out-- difference-of-squares
19×add-log-exp
16×sum-cubes
12×sum-log
9×add-exp-log associate-/r*
6×pow1 associate-+r+ associate-/r/ add-cbrt-cube
5×flip3-+ flip-+ associate-/l*
4×diff-log
3×associate-+r- associate--l+ div-inv
2×+-commutative log-div div-exp rem-log-exp log-pow associate-/l/
1×cbrt-undiv associate-+l- sub-neg flip3-- frac-2neg div-sub clear-num flip--
Counts
4 → 227
Calls
4 calls:
14.0ms
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
27.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0)))))))
10.0ms
(+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0))))))
16.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
7.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0)))))))
4.0ms
(+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0))))))
5.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify58.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
058115700

prune511.0ms

Filtered
128 candidates to 239 candidates (-86.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2381239
Fresh066
Picked101
Done011
Total2398247

Merged error: 0.2b

Counts
247 → 8

regimes146.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s3443×body1280valid
643.0ms2483×body640valid
230.0ms7946×body80nan
188.0ms1216×body320valid
64.0ms669×body160valid
8.0ms189×body80valid

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