Details

Time bar (total: 10.9s)

sample50.0ms

Algorithm
intervals
Results
16.0ms41×body1280valid
9.0ms39×body640valid
8.0ms151×body80valid
3.0ms16×body320valid
1.0ms9×body160valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2219
3259
done259

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 40
Calls
2 calls:
9.0ms
(* z (sin y))
9.0ms
(* x (cos y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* z (sin y))
39.0ms
(* x (cos y))

simplify1.5s

Counts
46 → 46
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
066274
1122268
2237236
3323236
4452236
5870236
62305236
done5000236

prune116.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite22.0ms

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:
16.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series460.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))
102.0ms
(cbrt (cos y))

simplify1.8s

Counts
93 → 93
Iterations

Useful iterations: done (1.8s)

IterNodesCost
068726
1128651
2353551
31189529
done5000520

prune282.0ms

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

rewrite73.0ms

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:
26.0ms
(* x (pow (pow (cos y) 2) 1/3))
39.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series258.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* x (pow (pow (cos y) 2) 1/3))
43.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify2.5s

Counts
110 → 110
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01411143
1310945
2874842
33706778
done5000769

prune330.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (cos y) 2)
0.2b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (pow (pow (cos y) 2) 2/3))
0.3b
(cbrt (cos y))

rewrite14.0ms

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)
2.0ms
(cbrt (pow (cos y) 2))
5.0ms
(cbrt (pow (pow (cos y) 2) 2/3))
1.0ms
(cbrt (cos y))

series409.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(pow (cos y) 2)
161.0ms
(cbrt (pow (cos y) 2))
134.0ms
(cbrt (pow (pow (cos y) 2) 2/3))
97.0ms
(cbrt (cos y))

simplify801.0ms

Counts
85 → 85
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
0127751
1231650
2445574
31106564
done5001559

prune341.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11717
done1717

end0.0ms

sample1.6s

Algorithm
intervals
Results
624.0ms1502×body1280valid
310.0ms1242×body640valid
237.0ms4293×body80valid
115.0ms644×body320valid
44.0ms319×body160valid