Details

Time bar (total: 2.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms333×body80valid

simplify8.0ms

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)

rewrite32.0ms

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:
10.0ms
(- (* x x) 3.0)
20.0ms
(/ (- (* x x) 3.0) 6.0)

series104.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x x) 3.0)
60.0ms
(/ (- (* x x) 3.0) 6.0)

simplify76.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204285
1661264
22616264
35001264

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 6.0 (- (* x x) 3.0))
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
80×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
22×associate-/r*
17×difference-of-squares
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 142
Calls
3 calls:
10.0ms
(- (* x x) 3.0)
14.0ms
(/ 6.0 (- (* x x) 3.0))
22.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* x x) 3.0)
50.0ms
(/ 6.0 (- (* x x) 3.0))
60.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05111212
124981084
25002971

prune188.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

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:
7.0ms
(- x (sqrt 3.0))
21.0ms
(/ (- x (sqrt 3.0)) 6.0)
6.0ms
(+ x (sqrt 3.0))
52.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series298.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- x (sqrt 3.0))
66.0ms
(/ (- x (sqrt 3.0)) 6.0)
32.0ms
(+ x (sqrt 3.0))
161.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0350821
11627740
25001728

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* x x) (* x x)) (* 3.0 3.0))
0.1b
(* 6.0 (+ (* x x) 3.0))
0.2b
(* (* x x) (* x x))
10.1b
(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
24×pow-prod-down
23×add-exp-log add-cbrt-cube
22×pow-sqr
18×pow-plus
13×pow2
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×times-frac associate-*r/ associate-*r* associate-*l* associate-/l*
3×difference-of-squares
2×cbrt-undiv flip3-- flip3-+ div-exp associate-/r/ *-commutative flip-- flip-+ associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub swap-sqr clear-num associate-/r* div-inv
Counts
4 → 126
Calls
4 calls:
30.0ms
(- (* (* x x) (* x x)) (* 3.0 3.0))
25.0ms
(* 6.0 (+ (* x x) 3.0))
28.0ms
(* (* x x) (* x x))
86.0ms
(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* (* x x) (* x x)) (* 3.0 3.0))
58.0ms
(* 6.0 (+ (* x x) 3.0))
30.0ms
(* (* x x) (* x x))
145.0ms
(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0430671
12073558
25001547

prune169.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

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

sample332.0ms

Algorithm
intervals
Results
179.0ms10603×body80valid