Details

Time bar (total: 4.3s)

sample32.0ms

Algorithm
intervals
Results
10.0ms39×body1280valid
6.0ms40×body640valid
5.0ms155×body80valid
1.0ms13×body160valid
1.0ms9×body320valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
15.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)

series83.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune141.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))

rewrite42.0ms

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:
29.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
3.0ms
(cbrt (/ (sin y) y))

series544.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
124.0ms
(cbrt (/ (sin y) y))
127.0ms
(cbrt (/ (sin y) y))
126.0ms
(cbrt (/ (sin y) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03021455
110211402
250011328

prune483.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))
0.6b
(cbrt y)
0.6b
(cbrt (sin y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div div-inv
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))

series539.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (/ (sin y) y))
133.0ms
(cbrt (/ (sin y) y))
176.0ms
(cbrt y)
96.0ms
(cbrt (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0210486
1563464
22323448
35001432

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series489.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
112.0ms
(cbrt (sin y))
100.0ms
(cbrt (sin y))
103.0ms
(cbrt (sin y))

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
092244
1196226
2487218
31673218
45001218

prune188.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample1.1s

Algorithm
intervals
Results
439.0ms946×body1280valid
186.0ms5130×body80valid
161.0ms1013×body640valid
66.0ms585×body320valid
25.0ms326×body160valid