Details

Time bar (total: 3.5s)

sample44.0ms

Algorithm
intervals
Results
11.0ms183×body80valid
10.0ms33×body640valid
9.0ms21×body1280valid
2.0ms12×body320valid
1.0ms7×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune2.0ms

Pruning

1 alts after pruning (1 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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
3.0ms
(+ x (sin y))
14.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(* z (cos y))

series107.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (sin y))
39.0ms
(+ (+ x (sin y)) (* z (cos y)))
41.0ms
(* z (cos y))

simplify70.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* z (cos y))
0.3b
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
60×pow1
30×sqrt-pow1
23×pow-prod-down
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1/2
10×add-exp-log associate-*r* associate-*l* pow-prod-up add-cbrt-cube
6×pow-sqr
5×sqrt-prod
4×swap-sqr add-log-exp
3×prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (* z (cos y)))
3.0ms
(* z (cos y))
3.0ms
(* z (cos y))
13.0ms
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (* z (cos y)))
39.0ms
(* z (cos y))
36.0ms
(* z (cos y))
41.0ms
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0236394
11158347
25002339

prune213.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (sqrt (* z (cos y)))) (cbrt (sqrt (* z (cos y)))))
0.3b
(cbrt (sqrt (* z (cos y))))
0.3b
(cbrt (sqrt (* z (cos y))))
0.3b
(cbrt (sqrt (* z (cos y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
7×swap-sqr associate-*r* associate-*l* sqrt-prod
6×add-exp-log
4×add-cbrt-cube 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 → 79
Calls
4 calls:
11.0ms
(* (cbrt (sqrt (* z (cos y)))) (cbrt (sqrt (* z (cos y)))))
2.0ms
(cbrt (sqrt (* z (cos y))))
2.0ms
(cbrt (sqrt (* z (cos y))))
2.0ms
(cbrt (sqrt (* z (cos y))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (cbrt (sqrt (* z (cos y)))) (cbrt (sqrt (* z (cos y)))))
103.0ms
(cbrt (sqrt (* z (cos y))))
101.0ms
(cbrt (sqrt (* z (cos y))))
104.0ms
(cbrt (sqrt (* z (cos y))))

simplify40.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0262834
1956765
25001699

prune309.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sin y))
0.1b
(* (sqrt z) (cos y))
0.2b
(* (sqrt z) (* (sqrt z) (cos y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
3.0ms
(+ x (sin y))
5.0ms
(* (sqrt z) (cos y))
11.0ms
(* (sqrt z) (* (sqrt z) (cos y)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ x (sin y))
62.0ms
(* (sqrt z) (cos y))
41.0ms
(* (sqrt z) (* (sqrt z) (cos y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0244334
1881279
23414275
35001275

prune142.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.3s

Algorithm
intervals
Results
448.0ms974×body1280valid
358.0ms5619×body80valid
231.0ms785×body640valid
84.0ms408×body320valid
31.0ms214×body160valid