Details

Time bar (total: 1.6s)

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%33.4%13
66.6%0%33.4%14

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
048309
148309

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg *-un-lft-identity associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
7.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05367272

prune42.0ms

Filtered
15 candidates to 26 candidates (-73.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New22426
Fresh101
Picked011
Done000
Total23528

Merged error: 0.0b

Counts
28 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow (neg x) 3))
0.0b
(+ (* x (* x 3.0)) (* 2.0 (pow (neg x) 3)))
0.2b
(* x (* x 3.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×associate-*r*
19×add-sqr-sqrt
13×add-exp-log
12×add-cube-cbrt *-un-lft-identity
11×unpow-prod-down cube-prod
10×add-cbrt-cube
8×pow1
6×distribute-lft-neg-in distribute-rgt-neg-in associate-*l* prod-exp
5×add-log-exp
4×cbrt-unprod unswap-sqr
3×pow-prod-down
2×neg-mul-1 cube-neg *-commutative distribute-rgt-neg-out sqr-pow
1×+-commutative cube-mult pow-to-exp flip3-+ unpow3 unsub-neg pow-exp sum-log flip-+
Counts
3 → 76
Calls
3 calls:
9.0ms
(* 2.0 (pow (neg x) 3))
5.0ms
(+ (* x (* x 3.0)) (* 2.0 (pow (neg x) 3)))
7.0ms
(* x (* x 3.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 2.0 (pow (neg x) 3))
8.0ms
(+ (* x (* x 3.0)) (* 2.0 (pow (neg x) 3)))
3.0ms
(* x (* x 3.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05049599

prune108.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh123
Picked011
Done011
Total85590

Merged error: 0b

Counts
90 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
0.2b
(* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
0.3b
(* (* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
84×associate-*r/
80×cbrt-div
40×flip3-- flip--
36×frac-times
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×associate-*l/
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
7×associate-*l*
6×cbrt-prod
4×add-log-exp
3×*-commutative
1×pow1/3 unswap-sqr
Counts
4 → 122
Calls
4 calls:
2.0ms
(cbrt (- 3.0 (* x 2.0)))
11.0ms
(* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
13.0ms
(* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
18.0ms
(* (* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- 3.0 (* x 2.0)))
12.0ms
(* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
11.0ms
(* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
7.0ms
(* (* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
055533122

prune273.0ms

Filtered
84 candidates to 134 candidates (-59.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done022
Total1345139

Merged error: 0b

Counts
139 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 3.0 (* x 2.0)))
0.2b
(* (* x (sqrt (- 3.0 (* x 2.0)))) (* x (sqrt (- 3.0 (* x 2.0)))))
0.3b
(* x (sqrt (- 3.0 (* x 2.0))))
0.3b
(* x (sqrt (- 3.0 (* x 2.0))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
20×add-exp-log add-sqr-sqrt add-cbrt-cube
19×pow-prod-down
18×sqrt-div associate-*r/
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity sqrt-prod
10×prod-exp cbrt-unprod
9×flip3-- flip--
7×associate-*l*
4×frac-times pow-sqr pow-prod-up add-log-exp unswap-sqr
3×*-commutative
2×pow-plus associate-*l/
1×pow2 rem-sqrt-square sqrt-pow1 pow1/2 swap-sqr
Counts
4 → 105
Calls
4 calls:
2.0ms
(sqrt (- 3.0 (* x 2.0)))
11.0ms
(* (* x (sqrt (- 3.0 (* x 2.0)))) (* x (sqrt (- 3.0 (* x 2.0)))))
6.0ms
(* x (sqrt (- 3.0 (* x 2.0))))
6.0ms
(* x (sqrt (- 3.0 (* x 2.0))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- 3.0 (* x 2.0)))
6.0ms
(* (* x (sqrt (- 3.0 (* x 2.0)))) (* x (sqrt (- 3.0 (* x 2.0)))))
8.0ms
(* x (sqrt (- 3.0 (* x 2.0))))
6.0ms
(* x (sqrt (- 3.0 (* x 2.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049511325
149511325

prune207.0ms

Filtered
69 candidates to 117 candidates (-69.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done033
Total1175122

Merged error: 0b

Counts
122 → 5

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0669
1669

end0.0ms

sample332.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
0.0ms1×body80invalid

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