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%33.4%13
66.6%0%33.4%14

sample21.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
049759
149759

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 1 expressions with local error:

0.2b
(* (* 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)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04915272
14915272

prune45.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New22426
Fresh011
Picked101
Done000
Total23528

Merged error: 0b

Counts
28 → 5

localize9.0ms

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))

rewrite20.0ms

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)))
4.0ms
(* x (* x 3.0))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 2.0 (pow (neg x) 3))
10.0ms
(+ (* x (* x 3.0)) (* 2.0 (pow (neg x) 3)))
3.0ms
(* x (* x 3.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05144597

prune98.0ms

Filtered
51 candidates to 85 candidates (-66.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh134
Picked101
Done000
Total86490

Merged error: 0b

Counts
90 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 46
Calls
2 calls:
5.0ms
(* x (- 3.0 (* x 2.0)))
6.0ms
(* x (* x (- 3.0 (* x 2.0))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* x (- 3.0 (* x 2.0)))
6.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05524490

prune57.0ms

Filtered
30 candidates to 52 candidates (-73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh033
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
21.8b
(sqrt (* x (* x 3.0)))
21.8b
(sqrt (* x (* x 3.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(* x (* x 3.0))
11.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

series20.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05434524

prune116.0ms

Filtered
54 candidates to 120 candidates (-122.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh022
Picked011
Done011
Total1204124

Merged error: 0b

Counts
124 → 4

regimes35.0ms

Accuracy

0% (0.1b 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
0369
1369

end0.0ms

sample625.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid

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