Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune1.0ms

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 expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
9.0ms
(/ (- (* x x) 3.0) 6.0)

series67.0ms

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

simplify65.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
13.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms
(/ 6.0 (- (* x x) 3.0))

series117.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
49.0ms
(/ 6.0 (- (* x x) 3.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05161159
125031036
25001934

prune180.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (* (/ 6.0 (fma (- 3.0) 3.0 (pow x 4))) (+ (* x x) 3.0)))
0.5b
(/ 6.0 (fma (- 3.0) 3.0 (pow x 4)))
10.4b
(* (/ 6.0 (fma (- 3.0) 3.0 (pow x 4))) (+ (* x x) 3.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
13×associate-*l*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv associate-/l*
5×associate-/r/
4×frac-times flip3-+ associate-*r/ associate-/r* cbrt-unprod flip-+
3×expm1-log1p-u rec-exp 1-exp associate-*r* log1p-expm1-u div-inv add-log-exp
2×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num unswap-sqr
1×distribute-rgt-in distribute-lft-in *-commutative inv-pow
Counts
3 → 108
Calls
3 calls:
13.0ms
(/ 1 (* (/ 6.0 (fma (- 3.0) 3.0 (pow x 4))) (+ (* x x) 3.0)))
2.0ms
(/ 6.0 (fma (- 3.0) 3.0 (pow x 4)))
16.0ms
(* (/ 6.0 (fma (- 3.0) 3.0 (pow x 4))) (+ (* x x) 3.0))

series386.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(/ 1 (* (/ 6.0 (fma (- 3.0) 3.0 (pow x 4))) (+ (* x x) 3.0)))
127.0ms
(/ 6.0 (fma (- 3.0) 3.0 (pow x 4)))
86.0ms
(* (/ 6.0 (fma (- 3.0) 3.0 (pow x 4))) (+ (* x x) 3.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05961042
12968891
25002882

prune280.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
46×times-frac
37×sqrt-prod
34×add-cube-cbrt *-un-lft-identity
25×associate-*r*
9×add-exp-log add-cbrt-cube
8×difference-of-squares
7×associate-*l* associate-/l*
6×sqrt-div unswap-sqr
4×pow1
3×flip3-- associate-/r* flip--
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 105
Calls
2 calls:
8.0ms
(/ (sqrt (- (* x x) 3.0)) 6.0)
33.0ms
(* (sqrt (- (* x x) 3.0)) (/ (sqrt (- (* x x) 3.0)) 6.0))

series148.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (sqrt (- (* x x) 3.0)) 6.0)
69.0ms
(* (sqrt (- (* x x) 3.0)) (/ (sqrt (- (* x x) 3.0)) 6.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03971038
11604914
25001877

prune214.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample412.0ms

Algorithm
intervals
Results
294.0ms10721×body80valid