Details

Time bar (total: 2.4s)

sample12.0ms

Algorithm
intervals
Results
5.0ms327×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: 0.3b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite13.0ms

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)

series109.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x x) 3.0)
67.0ms
(/ (- (* x x) 3.0) 6.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204285
1661264
22616264
35001264

prune94.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b
(/ 6.0 (- (* x x) 3.0))

rewrite27.0ms

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:
3.0ms
(- (* x x) 3.0)
11.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms
(/ 6.0 (- (* x x) 3.0))

series159.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (* x x) 3.0)
66.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
53.0ms
(/ 6.0 (- (* x x) 3.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05111212
124981084
25001971

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
0.1b
(* 6.0 (/ 1 (- (* x x) 3.0)))
0.3b
(/ 1 (- (* x x) 3.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
39×add-sqr-sqrt
29×times-frac
25×*-un-lft-identity
24×add-cube-cbrt
20×div-exp add-cbrt-cube
18×associate-*r*
16×prod-exp
10×pow1 rec-exp 1-exp
8×difference-of-squares
6×cbrt-undiv associate-/r/ associate-/l* add-log-exp
5×associate-/r*
4×cbrt-unprod
3×flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 131
Calls
4 calls:
3.0ms
(- (* x x) 3.0)
14.0ms
(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
21.0ms
(* 6.0 (/ 1 (- (* x x) 3.0)))
7.0ms
(/ 1 (- (* x x) 3.0))

series204.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* x x) 3.0)
66.0ms
(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
52.0ms
(* 6.0 (/ 1 (- (* x x) 3.0)))
46.0ms
(/ 1 (- (* x x) 3.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0475831
12169691
25001647

prune184.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(+ x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
182×*-un-lft-identity
170×add-sqr-sqrt
90×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
26×distribute-lft-out
20×sqrt-prod distribute-lft-out--
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 209
Calls
4 calls:
3.0ms
(- x (sqrt 3.0))
3.0ms
(+ x (sqrt 3.0))
21.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
7.0ms
(/ 6.0 (- x (sqrt 3.0)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- x (sqrt 3.0))
33.0ms
(+ x (sqrt 3.0))
155.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
66.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05792326
128982165
250022148

prune342.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes53.0ms

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
0125
1125

end0.0ms

sample295.0ms

Algorithm
intervals
Results
183.0ms10671×body80valid