Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms342×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
3.0ms
(- (* x x) 3.0)
9.0ms
(/ (- (* x x) 3.0) 6.0)

series107.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x x) 3.0)
67.0ms
(/ (- (* x x) 3.0) 6.0)

simplify75.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204285
1661264
22616264
35001264

prune106.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.2b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 associate-*l* prod-exp add-log-exp
3×flip3-- flip-- unswap-sqr
2×frac-times div-exp associate-*l/ cbrt-unprod difference-of-squares
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 54
Calls
2 calls:
3.0ms
(- (* x x) 3.0)
21.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series106.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x x) 3.0)
62.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0263330
11208284
25001272

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

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:
4.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
11.0ms
(/ (- x (sqrt 3.0)) 6.0)
36.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series312.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ x (sqrt 3.0))
40.0ms
(- x (sqrt 3.0))
70.0ms
(/ (- x (sqrt 3.0)) 6.0)
162.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0350821
11627740
25001728

prune234.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.0b
(* 0.16666666666666666 (- x (sqrt 3.0)))
0.7b
(* (+ x (sqrt 3.0)) (* 0.16666666666666666 (- x (sqrt 3.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×distribute-rgt-in distribute-lft-in associate-*r/
8×add-log-exp
7×add-cube-cbrt sub-neg associate-*r* associate-*l*
5×flip3-- flip--
4×frac-times flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+ difference-of-squares
2×associate-*l/ sqrt-prod *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative diff-log sum-log unswap-sqr
Counts
4 → 89
Calls
4 calls:
4.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
15.0ms
(* 0.16666666666666666 (- x (sqrt 3.0)))
29.0ms
(* (+ x (sqrt 3.0)) (* 0.16666666666666666 (- x (sqrt 3.0))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ x (sqrt 3.0))
46.0ms
(- x (sqrt 3.0))
70.0ms
(* 0.16666666666666666 (- x (sqrt 3.0)))
162.0ms
(* (+ x (sqrt 3.0)) (* 0.16666666666666666 (- x (sqrt 3.0))))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0323617
11607521
25003500

prune162.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample284.0ms

Algorithm
intervals
Results
175.0ms10709×body80valid