Details

Time bar (total: 3.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms344×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: 0.6b

localize3.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
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:
8.0ms
(/ 1.0 (* x x))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ 1.0 (* x x))

simplify98.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010192
132277
295777
3451777
4500277

prune34.0ms

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)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
13.0ms
(/ (/ 1.0 x) x)

series24.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (/ 1.0 x) x)

simplify35.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0313455
11182421
25001412

prune108.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series719.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt x) (cbrt x))
171.0ms
(cbrt x)
172.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune196.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 (cbrt (pow x 2))) (/ (/ 1 x) (cbrt x)))
0.3b
(/ (/ 1 x) (cbrt x))
0.6b
(cbrt x)
19.7b
(cbrt (pow x 2))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
401×times-frac
327×add-sqr-sqrt
186×*-un-lft-identity
174×add-cube-cbrt
162×cbrt-prod
82×associate-*r*
48×add-exp-log
42×unswap-sqr
37×associate-*l*
23×div-exp
21×add-cbrt-cube
19×unpow-prod-down
16×div-inv
13×associate-/l*
12×cbrt-undiv
11×unpow2 sqr-pow
10×prod-exp
pow1
associate-/r* cbrt-unprod
expm1-log1p-u pow1/3 log1p-expm1-u add-log-exp
rec-exp 1-exp
pow-div
frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/ inv-pow
Counts
4 → 340
Calls
4 calls:
92.0ms
(* (/ 1.0 (cbrt (pow x 2))) (/ (/ 1 x) (cbrt x)))
16.0ms
(/ (/ 1 x) (cbrt x))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series619.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ 1.0 (cbrt (pow x 2))) (/ (/ 1 x) (cbrt x)))
222.0ms
(/ (/ 1 x) (cbrt x))
180.0ms
(cbrt x)
178.0ms
(cbrt (pow x 2))

simplify72.0ms

Algorithm
egg-herbie
Counts
352 → 352
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013863351
150012990

prune868.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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

sample300.0ms

Algorithm
intervals
Results
150.0ms10593×body80valid