Details

Time bar (total: 1.3s)

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
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample17.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
073911
173911

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 3.0 x) 4.0)
0.1b
(* x (- (* 3.0 x) 4.0))
0.1b
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×sub-neg
2×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 55
Calls
3 calls:
4.0ms
(- (* 3.0 x) 4.0)
6.0ms
(* x (- (* 3.0 x) 4.0))
9.0ms
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- (* 3.0 x) 4.0)
5.0ms
(* x (- (* 3.0 x) 4.0))
3.0ms
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04964647
14964647

prune92.0ms

Filtered
43 candidates to 64 candidates (-48.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New59564
Fresh000
Picked101
Done000
Total60565

Merged error: 0b

Counts
65 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- (* x 9.0) 12.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
6.0ms
(* x (- (* x 9.0) 12.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (- (* x 9.0) 12.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05282218

prune39.0ms

Filtered
16 candidates to 25 candidates (-56.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23225
Fresh224
Picked011
Done000
Total25530

Merged error: 0b

Counts
30 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 3.0 (* x x)) (* x (neg 4.0)))
0.1b
(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
0.2b
(* 3.0 (* x x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×*-un-lft-identity
6×add-cube-cbrt associate-*l*
5×associate-*r* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ *-commutative flip-+ unswap-sqr
1×+-commutative distribute-rgt-in distribute-lft-in unsub-neg sum-log distribute-rgt-neg-out distribute-lft-out
Counts
3 → 54
Calls
3 calls:
6.0ms
(+ (* 3.0 (* x x)) (* x (neg 4.0)))
11.0ms
(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
6.0ms
(* 3.0 (* x x))

series13.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* 3.0 (* x x)) (* x (neg 4.0)))
3.0ms
(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
3.0ms
(* 3.0 (* x x))

simplify50.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04966597
14966597

prune76.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done011
Total63568

Merged error: 0b

Counts
68 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 3.0 x) 4.0)
0.1b
(* x (- (* 3.0 x) 4.0))
0.2b
(* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (sqrt 3.0))
0.7b
(* (sqrt 3.0) (* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (sqrt 3.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
7×sqrt-prod
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×associate-*r/ associate-*l/
3×sub-neg *-commutative unswap-sqr
2×flip3-- flip3-+ flip-- flip-+
1×distribute-rgt-in distribute-lft-in diff-log
Counts
4 → 80
Calls
4 calls:
4.0ms
(- (* 3.0 x) 4.0)
8.0ms
(* x (- (* 3.0 x) 4.0))
10.0ms
(* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (sqrt 3.0))
12.0ms
(* (sqrt 3.0) (* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (sqrt 3.0)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (* 3.0 x) 4.0)
5.0ms
(* x (- (* 3.0 x) 4.0))
4.0ms
(* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (sqrt 3.0))
6.0ms
(* (sqrt 3.0) (* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (sqrt 3.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051051049

prune321.0ms

Filtered
62 candidates to 92 candidates (-48.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh022
Picked011
Done022
Total92597

Merged error: 0b

Counts
97 → 5

regimes34.0ms

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 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample332.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid
0.0ms5×body80invalid

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