Details

Time bar (total: 2.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms333×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune1.0ms

Filtered
1 candidates to 0 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 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 47
Calls
2 calls:
4.0ms
(- (* x x) 3.0)
6.0ms
(/ (- (* x x) 3.0) 6.0)

series106.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* x x) 3.0)
65.0ms
(/ (- (* x x) 3.0) 6.0)

simplify73.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204285
1661264
22616264
35001264

prune84.0ms

Filtered
53 candidates to 41 candidates (77.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454

Merged error: 0b

Counts
54 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×flip3-+ associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 115
Calls
4 calls:
6.0ms
(/ (- x (sqrt 3.0)) 6.0)
3.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series298.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (- x (sqrt 3.0)) 6.0)
34.0ms
(+ x (sqrt 3.0))
43.0ms
(- x (sqrt 3.0))
156.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0350821
11627740
25001728

prune195.0ms

Filtered
127 candidates to 85 candidates (66.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 6.0 (+ (* x x) 3.0))
0.2b
(* (* x x) (* x x))
10.6b
(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
24×pow-prod-down
22×add-exp-log pow-sqr add-cbrt-cube
18×pow-plus
13×pow2
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
4×times-frac associate-*r/ associate-*r* associate-*l* associate-/l*
3×add-log-exp
2×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ associate-/l/ difference-of-squares unswap-sqr
1×distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub swap-sqr clear-num associate-/r* flip-- div-inv
Counts
3 → 113
Calls
3 calls:
6.0ms
(* 6.0 (+ (* x x) 3.0))
8.0ms
(* (* x x) (* x x))
15.0ms
(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* 6.0 (+ (* x x) 3.0))
32.0ms
(* (* x x) (* x x))
143.0ms
(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0403564
11975465
25001449

prune134.0ms

Filtered
122 candidates to 57 candidates (46.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done022
Total1224126

Merged error: 0b

Counts
126 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 6.0 (sqrt (- (* x x) 3.0)))
0.0b
(- (* x x) 3.0)
0.0b
(- (* x x) 3.0)
0.1b
(/ (sqrt (- (* x x) 3.0)) (/ 6.0 (sqrt (- (* x x) 3.0))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
246×add-sqr-sqrt
224×sqrt-prod
188×add-cube-cbrt *-un-lft-identity
58×difference-of-squares
34×associate-/r*
20×sqrt-div
19×associate-/r/
12×flip3-- flip--
11×add-exp-log add-cbrt-cube
10×div-inv associate-/l*
8×add-log-exp
4×pow1 cbrt-undiv div-exp
2×sub-neg frac-2neg diff-log clear-num associate-/l/
Counts
4 → 311
Calls
4 calls:
6.0ms
(/ 6.0 (sqrt (- (* x x) 3.0)))
4.0ms
(- (* x x) 3.0)
4.0ms
(- (* x x) 3.0)
19.0ms
(/ (sqrt (- (* x x) 3.0)) (/ 6.0 (sqrt (- (* x x) 3.0))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ 6.0 (sqrt (- (* x x) 3.0)))
41.0ms
(- (* x x) 3.0)
38.0ms
(- (* x x) 3.0)
68.0ms
(/ (sqrt (- (* x x) 3.0)) (/ 6.0 (sqrt (- (* x x) 3.0))))

simplify131.0ms

Algorithm
egg-herbie
Counts
323 → 323
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08994738
145264341
250024278

prune526.0ms

Filtered
323 candidates to 182 candidates (56.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3230323
Fresh000
Picked011
Done033
Total3234327

Merged error: 0b

Counts
327 → 4

regimes50.0ms

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
063

end0.0ms

sample283.0ms

Algorithm
intervals
Results
175.0ms10581×body80valid