Details

Time bar (total: 1.4s)

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
62.5%12.5%25%5
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.3%13
66.6%0%33.3%14

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
049509
149509

prune7.0ms

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b
(* 0.12900613773279798 (pow x 3))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 42
Calls
2 calls:
3.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms
(* 0.12900613773279798 (pow x 3))

series13.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms
(* 0.12900613773279798 (pow x 3))

simplify35.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04981393
14981393

prune74.0ms

Filtered
31 candidates to 48 candidates (-54.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh101
Picked011
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.2b
(* (* 0.12900613773279798 x) (* x x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 33
Calls
2 calls:
3.0ms
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
7.0ms
(* (* 0.12900613773279798 x) (* x x))

series13.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
4.0ms
(* (* 0.12900613773279798 x) (* x x))

simplify32.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05943328

prune41.0ms

Filtered
20 candidates to 39 candidates (-95.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh022
Picked011
Done011
Total39443

Merged error: 0.0b

Counts
43 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.12900613773279798 (pow x 3))
0.2b
(* x (* x (* 0.954929658551372 0.954929658551372)))
0.2b
(* x (* 0.954929658551372 0.954929658551372))
30.6b
(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×add-exp-log
22×add-cbrt-cube
18×pow1 add-cube-cbrt *-un-lft-identity
14×associate-*r*
12×prod-exp
10×cbrt-unprod
9×times-frac associate-*l* pow-prod-down
5×unswap-sqr
4×unpow-prod-down cube-prod add-log-exp
3×associate-/r* *-commutative associate-/l*
2×associate-/r/ associate-/l/ sqr-pow
1×cbrt-undiv cube-mult pow-to-exp flip3-- frac-2neg flip3-+ unpow3 div-sub div-exp pow-exp clear-num flip-- flip-+ div-inv
Counts
4 → 103
Calls
4 calls:
6.0ms
(* 0.12900613773279798 (pow x 3))
7.0ms
(* x (* x (* 0.954929658551372 0.954929658551372)))
5.0ms
(* x (* 0.954929658551372 0.954929658551372))
12.0ms
(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 0.12900613773279798 (pow x 3))
3.0ms
(* x (* x (* 0.954929658551372 0.954929658551372)))
2.0ms
(* x (* 0.954929658551372 0.954929658551372))
22.0ms
(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

simplify57.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050011631

prune193.0ms

Filtered
72 candidates to 115 candidates (-59.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done022
Total1154119

Merged error: 0.0b

Counts
119 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3))))
0.1b
(* 0.12900613773279798 (pow x 3))
0.1b
(* 0.12900613773279798 (pow x 3))
0.3b
(* (sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))) (sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
30×associate-*r*
21×add-cube-cbrt *-un-lft-identity sqrt-prod
20×pow1
16×add-exp-log
14×sqrt-div
12×associate-*l* unswap-sqr
10×add-cbrt-cube
9×sqrt-pow1 pow1/2
8×unpow-prod-down cube-prod swap-sqr
7×flip3-- prod-exp flip--
5×pow-prod-up
4×frac-times add-log-exp sqr-pow
3×pow-prod-down pow-sqr *-commutative cbrt-unprod
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 134
Calls
4 calls:
3.0ms
(sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3))))
6.0ms
(* 0.12900613773279798 (pow x 3))
6.0ms
(* 0.12900613773279798 (pow x 3))
13.0ms
(* (sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))) (sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3))))
4.0ms
(* 0.12900613773279798 (pow x 3))
4.0ms
(* 0.12900613773279798 (pow x 3))
9.0ms
(* (sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))) (sqrt (- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049331522
149331522

prune213.0ms

Filtered
79 candidates to 146 candidates (-84.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1451146
Fresh000
Picked011
Done033
Total1455150

Merged error: 0b

Counts
150 → 5

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.3%13
66.6%0%33.3%14

sample317.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid

Profiling

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