Details

Time bar (total: 1.9s)

sample12.0ms

Algorithm
intervals
Results
5.0ms336×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
9.0ms
(/ (- (* x x) 3.0) 6.0)

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (- (* x x) 3.0) 6.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0175222
1562208
22219208
35001208

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
17.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0253267
11197228
25002216

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

rewrite55.0ms

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:
13.0ms
(/ (- x (sqrt 3.0)) 6.0)
3.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
30.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series310.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (- x (sqrt 3.0)) 6.0)
40.0ms
(+ x (sqrt 3.0))
41.0ms
(- x (sqrt 3.0))
163.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0350821
11627740
25001728

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (* 3.0 3.0)) (pow x 4))
0.1b
(* (+ (* x x) 3.0) 6.0)
10.8b
(/ (+ (- (* 3.0 3.0)) (pow x 4)) (* (+ (* x x) 3.0) 6.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt add-log-exp
5×pow1
4×flip3-+ times-frac associate-*l/ flip-+ associate-/l*
3×associate-*r* associate-*l* distribute-lft-out
2×cbrt-undiv neg-sub0 associate-+l- div-exp prod-exp sum-log associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg div-sub pow-prod-down neg-log clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(+ (- (* 3.0 3.0)) (pow x 4))
11.0ms
(* (+ (* x x) 3.0) 6.0)
26.0ms
(/ (+ (- (* 3.0 3.0)) (pow x 4)) (* (+ (* x x) 3.0) 6.0))

series287.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (- (* 3.0 3.0)) (pow x 4))
61.0ms
(* (+ (* x x) 3.0) 6.0)
152.0ms
(/ (+ (- (* 3.0 3.0)) (pow x 4)) (* (+ (* x x) 3.0) 6.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0308541
11679451
25003397

prune146.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

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

sample289.0ms

Algorithm
intervals
Results
179.0ms10652×body80valid