Details

Time bar (total: 4.4s)

sample52.0ms

Algorithm
intervals
Results
18.0ms46×body1280valid
12.0ms45×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

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (sin y) (* z (cos y)))
0.2b
(* z (cos y))

rewrite5.0ms

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 (sin y) (* z (cos y)))
4.0ms
(* z (cos y))

series115.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(fma x (sin y) (* z (cos y)))
36.0ms
(* z (cos y))

simplify50.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
085150
1280130
2715130
31541130
45001130

prune100.0ms

Filtered
36 candidates to 28 candidates (77.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite12.0ms

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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series446.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))

simplify102.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune287.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (pow (pow (cos y) 2) 1/3))
0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite24.0ms

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:
8.0ms
(* z (pow (pow (cos y) 2) 1/3))
10.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series242.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* z (pow (pow (cos y) 2) 1/3))
35.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0330610
11447529
25001498

prune324.0ms

Filtered
110 candidates to 69 candidates (62.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (pow (cos y) 2) 2/3))
0.3b
(cbrt (cos y))
0.4b
(cbrt (pow (cos y) 2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow pow1/3 unpow2
1×pow-to-exp pow-pow pow-exp
Counts
4 → 73
Calls
4 calls:
3.0ms
(pow (cos y) 2)
6.0ms
(cbrt (pow (pow (cos y) 2) 2/3))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 2))

series397.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(pow (cos y) 2)
127.0ms
(cbrt (pow (pow (cos y) 2) 2/3))
97.0ms
(cbrt (cos y))
157.0ms
(cbrt (pow (cos y) 2))

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0241419
1721361
22549351
35001350

prune346.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample1.5s

Algorithm
intervals
Results
636.0ms1563×body1280valid
329.0ms1250×body640valid
227.0ms4275×body80valid
102.0ms615×body320valid
39.0ms297×body160valid