Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms337×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0266
1556
21226
32056
42535
53075
63635
74985
89115
911875
1011885
1111885

prune6.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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-+r+ 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:
3.0ms
(- (* x 3.0) 4.0)
3.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
5.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
7.0ms
(* x (- (* x 3.0) 4.0))

series195.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* x 3.0) 4.0)
32.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
37.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
79.0ms
(* x (- (* x 3.0) 4.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0296472
11292423
25001422

prune288.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.0b

Counts
86 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 9.0 (pow x 2)) 3.0)
0.0b
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b
(* 9.0 (pow x 2))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-log-exp
8×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down unswap-sqr
3×pow1 associate-*l* prod-exp
2×diff-log sum-log unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg flip3-- flip3-+ pow-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+
Counts
3 → 52
Calls
3 calls:
7.0ms
(+ (* 9.0 (pow x 2)) 3.0)
6.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms
(* 9.0 (pow x 2))

series120.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (* 9.0 (pow x 2)) 3.0)
27.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
30.0ms
(* 9.0 (pow x 2))

simplify177.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0237299
1891276
24637269
35001269

prune173.0ms

Filtered
61 candidates to 40 candidates (34.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh415
Picked011
Done000
Total61667

Merged error: 0.0b

Counts
67 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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-+l+ 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)
6.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
6.0ms
(* x (- (* x 9.0) 12.0))

series157.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* x 9.0) 12.0)
33.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
77.0ms
(* x (- (* x 9.0) 12.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0206296
1748265
23793261
35001261

prune138.0ms

Filtered
60 candidates to 39 candidates (35.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh134
Picked011
Done011
Total60666

Merged error: 0.0b

Counts
66 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
0.0b
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
0.2b
(* (cbrt 9.0) (pow x 2))
0.3b
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
21×prod-exp
20×add-sqr-sqrt
11×add-cbrt-cube add-log-exp
9×pow1 associate-*r* cbrt-unprod
8×add-cube-cbrt *-un-lft-identity unswap-sqr
7×cbrt-prod associate-*l*
5×unpow-prod-down
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×diff-log sum-log *-commutative
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+
Counts
4 → 83
Calls
4 calls:
10.0ms
(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
12.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
6.0ms
(* (cbrt 9.0) (pow x 2))
203.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
63.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
59.0ms
(* (cbrt 9.0) (pow x 2))
108.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0338772
11345644
25002598

prune305.0ms

Filtered
95 candidates to 54 candidates (43.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done022
Total956101

Merged error: 0.0b

Counts
101 → 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
0114
1114

end0.0ms

sample468.0ms

Algorithm
intervals
Results
302.0ms10693×body80valid

Profiling

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