Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms336×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)

rewrite24.0ms

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:
23.0ms
(/ (- (* x x) 3.0) 6.0)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (- (* x x) 3.0) 6.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0175222
1562208
22219208
35001208

prune66.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
16.0ms
(/ 6.0 (- (* x x) 3.0))
21.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 6.0 (- (* x x) 3.0))
60.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05031149
124801028
25001915

prune171.0ms

Pruning

4 alts after pruning (3 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))

rewrite86.0ms

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))
6.0ms
(+ x (sqrt 3.0))
20.0ms
(/ (- x (sqrt 3.0)) 6.0)
50.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series289.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- x (sqrt 3.0))
32.0ms
(+ x (sqrt 3.0))
65.0ms
(/ (- x (sqrt 3.0)) 6.0)
154.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0350821
11627740
25001728

prune212.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (- (* 3.0 3.0)) (pow x 4)) 6.0)
10.5b
(/ (/ (+ (- (* 3.0 3.0)) (pow x 4)) 6.0) (+ (* x x) 3.0))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
20×associate-/l*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×associate-/r* div-inv
4×cbrt-undiv div-exp
3×div-sub associate-/l/
2×pow1 neg-sub0 associate-+l- frac-2neg flip3-+ clear-num associate-/r/ flip-+ add-log-exp
Counts
2 → 119
Calls
2 calls:
33.0ms
(/ (+ (- (* 3.0 3.0)) (pow x 4)) 6.0)
48.0ms
(/ (/ (+ (- (* 3.0 3.0)) (pow x 4)) 6.0) (+ (* x x) 3.0))

series242.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ (+ (- (* 3.0 3.0)) (pow x 4)) 6.0)
143.0ms
(/ (/ (+ (- (* 3.0 3.0)) (pow x 4)) 6.0) (+ (* x x) 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04741632
121151547
250021547

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b 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
0104
1104

end0.0ms

sample334.0ms

Algorithm
intervals
Results
183.0ms10814×body80valid