Details

Time bar (total: 3.6s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14

sample79.0ms

Algorithm
intervals
Results
62.0ms184×body1280valid
6.0ms35×body640valid
3.0ms21×body320valid
1.0ms12×body160valid
0.0ms4×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
057188

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp (neg x)) 2.0)
6.0b
(+ (exp x) (- (exp (neg x)) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
4×add-sqr-sqrt
2×pow1 add-exp-log add-cube-cbrt sub-neg diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- associate-+r+ flip3-- flip3-+ flip-- flip-+ difference-of-squares
Counts
2 → 29
Calls
2 calls:
5.0ms
(- (exp (neg x)) 2.0)
8.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(- (exp (neg x)) 2.0)
7.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

simplify34.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05187335

prune56.0ms

Filtered
25 candidates to 35 candidates (-40.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New34135
Fresh101
Picked101
Done000
Total36137

Merged error: 0.0b

Counts
37 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×add-exp-log associate-*r*
11×add-log-exp
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube
6×associate-*l* prod-exp unswap-sqr
4×pow1 sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×associate-+r+
Counts
4 → 74
Calls
4 calls:
7.0ms
(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms
(* 1/360 (pow x 6))
7.0ms
(* 1/12 (pow x 4))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
11.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms
(* 1/360 (pow x 6))
4.0ms
(* 1/12 (pow x 4))

simplify54.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05022849

prune130.0ms

Filtered
56 candidates to 86 candidates (-53.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh000
Picked011
Done000
Total84387

Merged error: 0b

Counts
87 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))) (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
27.2b
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
27.2b
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
27.2b
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
17.0ms
(* (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))) (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
7.0ms
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
7.0ms
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
7.0ms
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))) (cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
16.0ms
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
15.0ms
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
15.0ms
(cbrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
059472685

prune368.0ms

Filtered
71 candidates to 99 candidates (-39.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102

Merged error: 0b

Counts
102 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))
3.0b
(exp (log (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
27.0b
(log (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
15×add-exp-log
14×associate-*r*
13×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube
6×pow1 log-prod associate-*l* prod-exp unswap-sqr
4×log-div exp-prod add-log-exp sqr-pow
3×exp-sum
2×pow-to-exp flip3-+ exp-diff pow-exp log-pow *-commutative cbrt-unprod flip-+
1×rem-log-exp rem-exp-log
Counts
4 → 81
Calls
4 calls:
5.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))
8.0ms
(exp (log (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
7.0ms
(log (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 1/360 (pow x 6))
4.0ms
(* 1/12 (pow x 4))
6.0ms
(exp (log (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6))))))
9.0ms
(log (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050561128

prune162.0ms

Filtered
61 candidates to 93 candidates (-52.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done022
Total93396

Merged error: 0b

Counts
96 → 3

regimes34.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.7b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01615
11615

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.8s5644×body1280valid
220.0ms1220×body640valid
75.0ms635×body320valid
23.0ms311×body160valid
7.0ms190×body80valid
0.0ms2×body80invalid

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