Details

Time bar (total: 1.5s)

sample19.0ms

Algorithm
intervals
Results
11.0ms344×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
035211
135211

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
6×associate-*r* associate-*l*
5×distribute-rgt-in sub-neg distribute-lft-in
4×associate-+l+ associate-*r/
2×flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
1×+-commutative diff-log sum-log
Counts
4 → 73
Calls
4 calls:
6.0ms
(+ (* x (- (* 3.0 x) 4.0)) 1.0)
3.0ms
(- (* 3.0 x) 4.0)
8.0ms
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))
6.0ms
(* x (- (* 3.0 x) 4.0))

series15.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05931868

prune122.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh011
Picked101
Done000
Total81687

Merged error: 0b

Counts
87 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 9.0) 12.0)
0.0b
(+ 3.0 (* x (- (* x 9.0) 12.0)))
0.1b
(* x (- (* x 9.0) 12.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 51
Calls
3 calls:
3.0ms
(- (* x 9.0) 12.0)
3.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
6.0ms
(* x (- (* x 9.0) 12.0))

series12.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x 9.0) 12.0)
3.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
5.0ms
(* x (- (* x 9.0) 12.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05161558

prune70.0ms

Filtered
38 candidates to 60 candidates (-57.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh325
Picked011
Done000
Total62466

Merged error: 0b

Counts
66 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube add-log-exp
9×add-sqr-sqrt
7×add-cube-cbrt associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-+l+ flip3-+ diff-log associate-*r/ sum-log *-commutative flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in associate-+l- flip3-- distribute-lft-in flip-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
6.0ms
(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
4.0ms
(- (* (* x 3.0) x) (* x 4.0))
9.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms
(* (* x 3.0) x)

series16.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05063812

prune84.0ms

Filtered
52 candidates to 81 candidates (-55.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh022
Picked011
Done011
Total81485

Merged error: 0b

Counts
85 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (* x (* 9.0 9.0))) (* 12.0 12.0))
0.1b
(* x (/ (- (* x (* x (* 9.0 9.0))) (* 12.0 12.0)) (+ (* x 9.0) 12.0)))
0.2b
(* x (* x (* 9.0 9.0)))
0.4b
(/ (- (* x (* x (* 9.0 9.0))) (* 12.0 12.0)) (+ (* x 9.0) 12.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
19×times-frac
16×associate-*r*
15×pow1
8×prod-exp cbrt-unprod
7×pow-prod-down
6×associate-*l* add-log-exp
4×associate-/r/
3×associate-/r* associate-/l*
2×cbrt-undiv flip3-- flip3-+ div-exp *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ clear-num
Counts
4 → 99
Calls
4 calls:
6.0ms
(- (* x (* x (* 9.0 9.0))) (* 12.0 12.0))
12.0ms
(* x (/ (- (* x (* x (* 9.0 9.0))) (* 12.0 12.0)) (+ (* x 9.0) 12.0)))
7.0ms
(* x (* x (* 9.0 9.0)))
12.0ms
(/ (- (* x (* x (* 9.0 9.0))) (* 12.0 12.0)) (+ (* x 9.0) 12.0))

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x (* x (* 9.0 9.0))) (* 12.0 12.0))
12.0ms
(* x (/ (- (* x (* x (* 9.0 9.0))) (* 12.0 12.0)) (+ (* x 9.0) 12.0)))
3.0ms
(* x (* x (* 9.0 9.0)))
9.0ms
(/ (- (* x (* x (* 9.0 9.0))) (* 12.0 12.0)) (+ (* x 9.0) 12.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049941533
149941533

prune155.0ms

Filtered
78 candidates to 111 candidates (-42.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done022
Total1114115

Merged error: 0b

Counts
115 → 4

regimes128.0ms

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
0119
1119

end0.0ms

sample525.0ms

Algorithm
intervals
Results
356.0ms10689×body80valid

Profiling

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