Details

Time bar (total: 4.4s)

sample52.0ms

Algorithm
intervals
Results
14.0ms31×body1280valid
13.0ms176×body80valid
8.0ms26×body640valid
3.0ms9×body320valid
2.0ms14×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0135
1224
2284
3284

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.0b
(+ x (sin y))
0.1b
(* z (cos y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
9×add-sqr-sqrt
7×add-cube-cbrt fma-def
5×pow1 add-exp-log add-cbrt-cube
4×sum-log
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u
2×+-commutative flip3-+ flip-+ distribute-lft-out
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 56
Calls
3 calls:
17.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(+ x (sin y))
3.0ms
(* z (cos y))

series101.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (+ x (sin y)) (* z (cos y)))
28.0ms
(+ x (sin y))
35.0ms
(* z (cos y))

simplify77.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208268
1743242
22955242
35001242

prune174.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series459.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))

simplify108.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune299.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b
(* z (pow (pow (cos y) 2) 1/3))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 98
Calls
4 calls:
18.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
12.0ms
(* z (pow (pow (cos y) 2) 1/3))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
94.0ms
(* z (pow (pow (cos y) 2) 1/3))
23.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0330610
11439529
25001498

prune334.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (expm1 (cbrt (cos y))))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.6b
(expm1 (cbrt (cos y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log log1p-expm1-u
4×expm1-log1p-u add-cbrt-cube add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow
1×pow-to-exp log1p-udef expm1-log1p pow-pow pow1/3 log1p-expm1 pow-exp unpow2 expm1-udef sqr-pow
Counts
4 → 55
Calls
4 calls:
0.0ms
(log1p (expm1 (cbrt (cos y))))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
0.0ms
(expm1 (cbrt (cos y)))

series547.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(log1p (expm1 (cbrt (cos y))))
17.0ms
(pow (cos y) 2)
102.0ms
(cbrt (cos y))
201.0ms
(expm1 (cbrt (cos y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0177249
1598221
22242214
35001213

prune232.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes110.0ms

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
02012
12012

end0.0ms

sample1.3s

Algorithm
intervals
Results
428.0ms972×body1280valid
389.0ms5573×body80valid
231.0ms831×body640valid
74.0ms405×body320valid
29.0ms219×body160valid