Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
10.0ms356×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

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

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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×distribute-rgt-in distribute-lft-in add-log-exp
4×sub-neg associate-+r+ associate-*r/
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative flip3-- sum-log flip--
Counts
3 → 61
Calls
3 calls:
3.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
6.0ms
(* x (- (* x 3.0) 4.0))
5.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
59.0ms
(* x (- (* x 3.0) 4.0))
34.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0277413
11225369
25001369

prune103.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh101
Picked101
Done000
Total64872

Merged error: 0.0b

Counts
72 → 8

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))

rewrite17.0ms

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:
4.0ms
(+ (* 9.0 (pow x 2)) 3.0)
7.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms
(* 9.0 (pow x 2))

series97.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (* 9.0 (pow x 2)) 3.0)
26.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms
(* 9.0 (pow x 2))

simplify192.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0237299
1891276
24637269
35001269

prune97.0ms

Filtered
61 candidates to 40 candidates (65.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh527
Picked101
Done000
Total64569

Merged error: 0b

Counts
69 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:
6.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
3.0ms
(- (* x 9.0) 12.0)
7.0ms
(* x (- (* x 9.0) 12.0))

series121.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
36.0ms
(- (* x 9.0) 12.0)
60.0ms
(* x (- (* x 9.0) 12.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0206296
1748265
23793261
35001261

prune70.0ms

Filtered
60 candidates to 39 candidates (65.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done000
Total60565

Merged error: 0b

Counts
65 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log sub-neg add-cbrt-cube
8×add-sqr-sqrt associate-+r+
6×add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out unswap-sqr
Counts
3 → 72
Calls
3 calls:
4.0ms
(+ (* 3.0 1.0) (* 3.0 (* x (- (* x 3.0) 4.0))))
6.0ms
(* x (- (* x 3.0) 4.0))
7.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (* 3.0 1.0) (* 3.0 (* x (- (* x 3.0) 4.0))))
58.0ms
(* x (- (* x 3.0) 4.0))
78.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0295473
11217421
25001413

prune82.0ms

Filtered
81 candidates to 46 candidates (56.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New80181
Fresh123
Picked011
Done011
Total81586

Merged error: 0b

Counts
86 → 5

regimes15.0ms

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

sample425.0ms

Algorithm
intervals
Results
311.0ms10583×body80valid

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