Details

Time bar (total: 1.6s)

sample21.0ms

Algorithm
intervals
Results
12.0ms347×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
035211
135211

prune9.0ms

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: 0.2b

Counts
2 → 1

localize8.0ms

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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
associate-*r/
distribute-rgt-in sub-neg distribute-lft-in
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
4.0ms
(- (* 3.0 x) 4.0)
8.0ms
(* x (- (* 3.0 x) 4.0))
11.0ms
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))

series14.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05150667

prune103.0ms

Filtered
43 candidates to 67 candidates (-55.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New62567
Fresh000
Picked101
Done000
Total63568

Merged error: 0b

Counts
68 → 5

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))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
distribute-rgt-in associate-+r+ distribute-lft-in
associate-*r* associate-*l*
flip3-- associate-*r/ flip--
+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 51
Calls
3 calls:
4.0ms
(- (* x 9.0) 12.0)
3.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
7.0ms
(* x (- (* x 9.0) 12.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x 9.0) 12.0)
3.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
6.0ms
(* x (- (* x 9.0) 12.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05161558

prune74.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done000
Total60565

Merged error: 0b

Counts
65 → 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))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
*-un-lft-identity
add-cube-cbrt associate-*l*
associate-*r* add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-+ associate-*r/ *-commutative distribute-rgt-neg-out flip-+ unswap-sqr
+-commutative distribute-rgt-in distribute-lft-in unsub-neg sum-log distribute-lft-out
Counts
3 → 55
Calls
3 calls:
7.0ms
(+ (* 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))

series15.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* 3.0 (* x x)) (* x (neg 4.0)))
4.0ms
(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
3.0ms
(* 3.0 (* x x))

simplify43.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04992597
14992597

prune76.0ms

Filtered
40 candidates to 64 candidates (-60.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh033
Picked011
Done011
Total64569

Merged error: 0b

Counts
69 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
0.2b
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
0.2b
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
0.2b
(* (cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))) (cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-+ pow1/3 flip-+
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
9.0ms
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
10.0ms
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
11.0ms
(* (cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))) (cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
14.0ms
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
14.0ms
(cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
18.0ms
(* (cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))) (cbrt (* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))))

simplify31.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
051942056

prune280.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0b

Counts
89 → 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 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

sample571.0ms

Algorithm
intervals
Results
376.0ms10714×body80valid

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