Details

Time bar (total: 3.3s)

sample29.0ms

Algorithm
intervals
Results
8.0ms31×body1280valid
6.0ms167×body80valid
5.0ms28×body640valid
2.0ms19×body320valid
1.0ms11×body160valid

simplify8.0ms

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)

rewrite13.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune134.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
6.0ms
(* (/ (sin y) y) x)
4.0ms
(/ (sin y) y)

series65.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (/ (sin y) y) x)
25.0ms
(/ (sin y) y)

simplify142.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0222328
1874295
24435295
35003295

prune132.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (/ (sin y) y) x)) (cbrt (* (/ (sin y) y) x)))
7.8b
(cbrt (* (/ (sin y) y) x))
7.8b
(cbrt (* (/ (sin y) y) x))
7.8b
(cbrt (* (/ (sin y) y) x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*l/
7×cbrt-prod cbrt-div
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* 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/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* (/ (sin y) y) x)) (cbrt (* (/ (sin y) y) x)))
4.0ms
(cbrt (* (/ (sin y) y) x))
4.0ms
(cbrt (* (/ (sin y) y) x))
4.0ms
(cbrt (* (/ (sin y) y) x))

series368.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (* (/ (sin y) y) x)) (cbrt (* (/ (sin y) y) x)))
84.0ms
(cbrt (* (/ (sin y) y) x))
84.0ms
(cbrt (* (/ (sin y) y) x))
85.0ms
(cbrt (* (/ (sin y) y) x))

simplify137.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0210616
1834549
24675504
35001504

prune216.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.6b
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
175.0ms
(cbrt y)
184.0ms
(cbrt y)
83.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0438833
12355680
25002641

prune257.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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

sample828.0ms

Algorithm
intervals
Results
232.0ms943×body1280valid
189.0ms5243×body80valid
159.0ms950×body640valid
66.0ms549×body320valid
25.0ms315×body160valid