Details

Time bar (total: 2.3s)

sample19.0ms

Algorithm
intervals
Results
11.0ms340×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize4.0ms

Local error

Found 1 expressions with local error:

7.3b
(/ x (* y y))

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
(/ x (* y y))

series26.0ms

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

simplify93.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010192
132277
295777
3451777
4500277

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite9.0ms

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:
6.0ms
(/ (/ x y) y)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (/ x y) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0313455
11182421
25001412

prune128.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ y (/ x y))
0.5b
(/ 1 (/ y (/ x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
28×add-exp-log
22×div-inv
18×div-exp
16×add-cbrt-cube
9×cbrt-undiv
6×associate-/r/ associate-/l*
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 278
Calls
2 calls:
5.0ms
(/ y (/ x y))
13.0ms
(/ 1 (/ y (/ x y)))

series41.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ y (/ x y))
17.0ms
(/ 1 (/ y (/ x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09572379
150012032

prune402.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
10.0b
(cbrt (/ x y))
10.0b
(cbrt (/ x y))
10.0b
(cbrt (/ x y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
17.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series282.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
61.0ms
(cbrt (/ x y))
61.0ms
(cbrt (/ x y))
78.0ms
(cbrt (/ x y))

simplify76.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune384.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes76.0ms

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
042

end0.0ms

sample516.0ms

Algorithm
intervals
Results
347.0ms10697×body80valid