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
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

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
073911
173911

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 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))

rewrite20.0ms

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))

series15.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* 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))

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04964647
14964647

prune95.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New59564
Fresh101
Picked101
Done000
Total61566

Merged error: 0.0b

Counts
66 → 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))

simplify42.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05282218

prune43.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23225
Fresh134
Picked011
Done000
Total24630

Merged error: 0b

Counts
30 → 6

localize8.0ms

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))

rewrite24.0ms

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)))
12.0ms
(* 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))

simplify53.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04966597
14966597

prune80.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done011
Total63669

Merged error: 0b

Counts
69 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*r* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×add-log-exp
4×cbrt-prod 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 → 81
Calls
4 calls:
4.0ms
(- (* 3.0 x) 4.0)
14.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0)))
6.0ms
(* x (- (* 3.0 x) 4.0))
11.0ms
(* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0))

series21.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050401052

prune146.0ms

Filtered
63 candidates to 93 candidates (-47.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh123
Picked011
Done022
Total93699

Merged error: 0b

Counts
99 → 6

regimes38.0ms

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
0219
1219

end0.0ms

sample621.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid

Profiling

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