Details

Time bar (total: 3.7s)

sample11.0ms

Algorithm
intervals
Results
5.0ms338×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ 1.0 (* x x))

simplify101.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010192
132277
295777
3451777
4500277

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
9.0ms
(/ (/ 1.0 x) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (/ 1.0 x) x)

simplify35.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0313455
11182421
25001412

prune119.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series770.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
195.0ms
(cbrt x)
189.0ms
(cbrt x)
184.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune249.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ (sqrt 1.0) (cbrt x)))
0.3b
(/ (sqrt 1.0) (cbrt x))
0.5b
(cbrt x)
23.3b
(cbrt (pow x 2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
176×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
104×cbrt-prod
93×sqrt-prod
46×associate-/r*
11×add-exp-log
9×add-cbrt-cube associate-/l*
6×div-inv
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×unpow-prod-down
2×frac-2neg pow1/3 clear-num
1×associate-/r/ unpow2 sqr-pow
Counts
4 → 273
Calls
4 calls:
10.0ms
(/ x (/ (sqrt 1.0) (cbrt x)))
4.0ms
(/ (sqrt 1.0) (cbrt x))
0.0ms
(cbrt x)
1.0ms
(cbrt (pow x 2))

series1.0s

Counts
4 → 12
Calls
4 calls:
268.0ms
(/ x (/ (sqrt 1.0) (cbrt x)))
209.0ms
(/ (sqrt 1.0) (cbrt x))
384.0ms
(cbrt x)
183.0ms
(cbrt (pow x 2))

simplify108.0ms

Algorithm
egg-herbie
Counts
285 → 285
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07492475
138812263
250012189

prune686.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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
042

end0.0ms

sample277.0ms

Algorithm
intervals
Results
157.0ms10612×body80valid