Details

Time bar (total: 5.0s)

sample47.0ms

Algorithm
intervals
Results
14.0ms184×body80valid
13.0ms30×body1280valid
6.0ms22×body640valid
3.0ms14×body320valid
1.0ms6×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0135
1224
2284
3284

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:
3.0ms
(+ x (sin y))
20.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(* z (cos y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (sin y))
38.0ms
(+ (+ x (sin y)) (* z (cos y)))
36.0ms
(* z (cos y))

simplify74.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208268
1743242
22955242
35001242

prune174.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite9.0ms

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:
6.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series754.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt z) (cbrt z))
182.0ms
(cbrt z)
179.0ms
(cbrt z)
186.0ms
(cbrt z)

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune287.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
24.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
2.0ms
(cbrt (+ x (sin y)))
2.0ms
(cbrt (+ x (sin y)))
3.0ms
(cbrt (+ x (sin y)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
56.0ms
(cbrt (+ x (sin y)))
62.0ms
(cbrt (+ x (sin y)))
57.0ms
(cbrt (+ x (sin y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03531062
113501002
25001932

prune393.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite3.0ms

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:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series745.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
194.0ms
(cbrt z)
183.0ms
(cbrt z)
188.0ms
(cbrt z)

simplify127.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune248.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample1.4s

Algorithm
intervals
Results
457.0ms987×body1280valid
436.0ms5570×body80valid
240.0ms815×body640valid
84.0ms422×body320valid
30.0ms206×body160valid