Details

Time bar (total: 4.0s)

sample32.0ms

Algorithm
intervals
Results
11.0ms41×body1280valid
6.0ms155×body80valid
4.0ms28×body640valid
3.0ms22×body320valid
1.0ms10×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: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
8.0ms
(/ (sin y) y)
17.0ms
(* x (/ (sin y) y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (sin y) y)
51.0ms
(* x (/ (sin y) y))

simplify34.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0218334
1998302
25001302

prune213.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
pow1
cbrt-unprod
associate-*l*
associate-*r/ div-exp pow-prod-down
unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative log1p-expm1-u add-log-exp
div-inv
Counts
2 → 64
Calls
2 calls:
31.0ms
(* x (* (sin y) (/ 1 y)))
16.0ms
(* (sin y) (/ 1 y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (* (sin y) (/ 1 y)))
24.0ms
(* (sin y) (/ 1 y))

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0287355
11261286
25001269

prune187.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (/ 1 y))
0.3b
(cbrt (* (sin y) (/ 1 y)))
0.3b
(cbrt (* (sin y) (/ 1 y)))
0.3b
(cbrt (* (sin y) (/ 1 y)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×add-exp-log *-un-lft-identity associate-*r*
12×add-cube-cbrt
11×times-frac
add-cbrt-cube
pow1 cbrt-div
expm1-log1p-u associate-*r/ prod-exp un-div-inv log1p-expm1-u add-log-exp
cbrt-prod pow1/3 associate-*l* unswap-sqr
div-exp cbrt-unprod
cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
Counts
4 → 77
Calls
4 calls:
205.0ms
(* (sin y) (/ 1 y))
7.0ms
(cbrt (* (sin y) (/ 1 y)))
7.0ms
(cbrt (* (sin y) (/ 1 y)))
7.0ms
(cbrt (* (sin y) (/ 1 y)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (sin y) (/ 1 y))
121.0ms
(cbrt (* (sin y) (/ 1 y)))
124.0ms
(cbrt (* (sin y) (/ 1 y)))
124.0ms
(cbrt (* (sin y) (/ 1 y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0255470
11000403
25001369

prune490.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (sin y) (/ 1 y)))
0.3b
(cbrt (* (sin y) (/ 1 y)))
0.6b
(cbrt y)
0.6b
(cbrt (sin y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
associate-*r/ un-div-inv
Counts
4 → 52
Calls
4 calls:
7.0ms
(cbrt (* (sin y) (/ 1 y)))
7.0ms
(cbrt (* (sin y) (/ 1 y)))
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))

series541.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (* (sin y) (/ 1 y)))
126.0ms
(cbrt (* (sin y) (/ 1 y)))
179.0ms
(cbrt y)
101.0ms
(cbrt (sin y))

simplify53.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0167294
1426268
21434250
35001246

prune363.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes217.0ms

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
0114
1114

end0.0ms

sample849.0ms

Algorithm
intervals
Results
246.0ms949×body1280valid
188.0ms5168×body80valid
164.0ms994×body640valid
69.0ms570×body320valid
26.0ms319×body160valid