Details

Time bar (total: 3.9s)

sample52.0ms

Algorithm
intervals
Results
19.0ms47×body1280valid
11.0ms44×body640valid
7.0ms134×body80valid
3.0ms20×body320valid
1.0ms11×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x (cos y) (* z (sin y)))
8.0ms
(* z (sin y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(fma x (cos y) (* z (sin y)))
36.0ms
(* z (sin y))

simplify51.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083149
1279130
2726130
31552130
45002130

prune96.0ms

Filtered
36 candidates to 26 candidates (72.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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

series136.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (* x (cos y)) (* z (sin y)))
39.0ms
(* z (sin y))
35.0ms
(* x (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0195268
1748244
22510244
35003243

prune163.0ms

Filtered
63 candidates to 47 candidates (74.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin 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:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series403.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
95.0ms
(cbrt (sin y))
95.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune271.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (cbrt (sin y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
Calls
4 calls:
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (cbrt (sin y)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (sin y))
95.0ms
(cbrt (sin y))
95.0ms
(cbrt (sin y))
97.0ms
(cbrt (cbrt (sin y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0114310
1237288
2607280
32056280
45001280

prune251.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02120
12120

end0.0ms

sample1.6s

Algorithm
intervals
Results
656.0ms1562×body1280valid
320.0ms1250×body640valid
225.0ms4274×body80valid
108.0ms615×body320valid
41.0ms299×body160valid