Details

Time bar (total: 1.2s)

analyze1.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms256×pre80true

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1253
2393
3703
41813
56823
624633
750013

prune6.0ms

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: 0.0b

Counts
2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-exp-log add-cbrt-cube
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (* x (* x x)) (* x x))
5.0ms
(* x (* x x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x (* x x)) (* x x))
3.0ms
(* x (* x x))

simplify99.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0158147
1646107
22546106
35001102

prune43.0ms

Filtered
25 candidates to 43 candidates (-72.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New41243
Fresh011
Picked101
Done000
Total42345

Merged error: 0b

Counts
45 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (sqrt x) (pow x 5/2)) (* x x))
0.1b
(* (sqrt x) (pow x 5/2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
7×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity associate-*l* sqrt-prod unswap-sqr
5×unpow-prod-down
4×add-cbrt-cube add-log-exp
3×pow1 prod-exp sqr-pow
2×pow-prod-up
1×+-commutative pow-to-exp sqrt-pow1 flip3-+ pow1/2 pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 44
Calls
2 calls:
5.0ms
(+ (* (sqrt x) (pow x 5/2)) (* x x))
6.0ms
(* (sqrt x) (pow x 5/2))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* (sqrt x) (pow x 5/2)) (* x x))
6.0ms
(* (sqrt x) (pow x 5/2))

simplify37.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0232284
11016262
25001260

prune60.0ms

Filtered
34 candidates to 50 candidates (-47.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done000
Total50353

Merged error: 0b

Counts
53 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) x)
0.0b
(* x (+ (* x x) x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-out distribute-lft1-in flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
4.0ms
(+ (* x x) x)
6.0ms
(* x (+ (* x x) x))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x x) x)
6.0ms
(* x (+ (* x x) x))

simplify119.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0147175
1799152
23842148
35001147

prune37.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh101
Picked011
Done011
Total43346

Merged error: 0b

Counts
46 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x x) x))
0.0b
(sqrt (+ (* x x) x))
0.1b
(* x (sqrt (+ (* x x) x)))
0.1b
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times distribute-rgt-out distribute-lft1-in associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
4.0ms
(sqrt (+ (* x x) x))
4.0ms
(sqrt (+ (* x x) x))
7.0ms
(* x (sqrt (+ (* x x) x)))
12.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ (* x x) x))
3.0ms
(sqrt (+ (* x x) x))
5.0ms
(* x (sqrt (+ (* x x) x)))
7.0ms
(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0344724
11659634
25001627

prune84.0ms

Filtered
74 candidates to 103 candidates (-39.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done022
Total1033106

Merged error: 0b

Counts
106 → 3

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
195

end0.0ms

analyze1.0ms

Algorithm
search

sample330.0ms

Algorithm
intervals
Results
149.0ms8000×body80valid
95.0ms8000×pre80true

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