Details

Time bar (total: 6.7s)

analyze5.0ms

Algorithm
search

sample100.0ms

Algorithm
intervals
Results
62.0ms120×body1280valid
23.0ms79×body640valid
6.0ms32×body320valid
2.0ms20×body160valid
0.0ms5×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.0b
(log (/ (+ 1.0 x) (- 1.0 x)))

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
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune134.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh000
Picked101
Done000
Total87289

Merged error: 0.1b

Counts
89 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
5×associate-+r+ associate-*r/
4×pow1 frac-add
3×log-prod flip3-+ associate-*l* associate--l+ flip-+
2×associate-+l+ flip3-- sum-log flip-- cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down *-commutative div-inv
Counts
2 → 134
Calls
2 calls:
10.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
21.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify90.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07991100
13634972
25002968

prune307.0ms

Filtered
90 candidates to 140 candidates (-55.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh011
Picked011
Done000
Total1384142

Merged error: 0.1b

Counts
142 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
74×associate-*r/
68×frac-add
51×flip3-+ flip-+
36×frac-times
34×flip3-- flip--
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
25.0ms
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
9.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
9.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
9.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
14.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
14.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
14.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

simplify129.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07247276
130977113
250027002

prune1.8s

Filtered
109 candidates to 151 candidates (-38.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1501151
Fresh112
Picked101
Done011
Total1523155

Merged error: 0.1b

Counts
155 → 3

localize39.0ms

Local error

Found 4 expressions with local error:

3.0b
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
3.0b
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
3.0b
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
17.3b
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))) (pow x 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×exp-sum
21×add-exp-log
18×log-prod associate--l+
15×distribute-rgt-in distribute-lft-in
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×div-exp
10×add-log-exp
9×prod-exp add-cbrt-cube
8×times-frac associate-/r*
7×pow-to-exp pow-exp
6×sub-neg unpow-prod-down
4×pow1
3×exp-prod exp-to-pow rem-exp-log
2×cbrt-undiv unpow2 sqr-pow
1×frac-2neg clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 101
Calls
4 calls:
4.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
4.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
4.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
11.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))) (pow x 2))

series157.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
34.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
33.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))
56.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ 1 x))))))) (pow x 2))

simplify48.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03521236
115001083
25002896

prune564.0ms

Filtered
64 candidates to 113 candidates (-76.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh011
Picked101
Done011
Total1133116

Merged error: 0.1b

Counts
116 → 3

regimes38.0ms

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
02012
12012

end0.0ms

analyze5.0ms

Algorithm
search

sample2.9s

Algorithm
intervals
Results
1.8s3471×body1280valid
727.0ms2472×body640valid
226.0ms1252×body320valid
68.0ms609×body160valid
10.0ms196×body80valid

Profiling

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