Details

Time bar (total: 4.1s)

sample53.0ms

Algorithm
intervals
Results
19.0ms46×body1280valid
13.0ms54×body640valid
7.0ms127×body80valid
2.0ms13×body320valid
2.0ms16×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
expm1-log1p-u log1p-expm1-u
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
3.0ms
(+ (* x (cos y)) (* z (sin y)))
3.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series139.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (* x (cos y)) (* z (sin y)))
39.0ms
(* x (cos y))
36.0ms
(* z (sin y))

simplify74.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0195268
1748244
22510244
35003243

prune165.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (cos y) (* z (sin y)))
0.1b
(* z (sin y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x (cos y) (* z (sin y)))
4.0ms
(* z (sin y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(fma x (cos y) (* z (sin y)))
40.0ms
(* z (sin y))

simplify52.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083149
1279130
2726130
31552130
45002130

prune110.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series465.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify111.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune291.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series411.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))

simplify109.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (104.0ms)

IterNodesCost
050256
1147236
2450228
32269228
45001220

prune241.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample1.5s

Algorithm
intervals
Results
626.0ms1513×body1280valid
321.0ms1288×body640valid
225.0ms4291×body80valid
115.0ms592×body320valid
37.0ms316×body160valid