Details

Time bar (total: 13.2s)

sample79.0ms

Algorithm
intervals
Results
25.0ms35×body1280valid
18.0ms183×body80valid
11.0ms24×body640valid
4.0ms11×body320valid
1.0ms3×body160valid

simplify36.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* sum-log
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
71.0ms
(+ (+ x (sin y)) (* z (cos y)))
18.0ms
(* z (cos y))

series139.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(+ (+ x (sin y)) (* z (cos y)))
50.0ms
(* z (cos y))

simplify1.1s

Counts
37 → 37

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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×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 → 73
Calls
4 calls:
14.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series710.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
157.0ms
(cbrt (cos y))
143.0ms
(cbrt (cos y))
141.0ms
(cbrt (cos y))

simplify978.0ms

Counts
85 → 85

prune364.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
60.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
5.0ms
(cbrt (pow (cos y) 2))
7.0ms
(pow (cos y) 2)
3.0ms
(cbrt (cos y))

series462.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
234.0ms
(cbrt (pow (cos y) 2))
22.0ms
(pow (cos y) 2)
146.0ms
(cbrt (cos y))

simplify2.9s

Counts
78 → 78

prune353.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cbrt (cos y)) 2)
0.3b
(cbrt (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp unpow2 sqr-pow
Counts
4 → 58
Calls
4 calls:
4.0ms
(pow (cbrt (cos y)) 2)
2.0ms
(cbrt (cbrt (cos y)))
1.0ms
(cbrt (cos y))
10.0ms
(cbrt (cos y))

series834.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(pow (cbrt (cos y)) 2)
174.0ms
(cbrt (cbrt (cos y)))
179.0ms
(cbrt (cos y))
191.0ms
(cbrt (cos y))

simplify891.0ms

Counts
70 → 70

prune690.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify28.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
931.0ms5600×body80valid
857.0ms1019×body1280valid
449.0ms795×body640valid
129.0ms188×body160valid
127.0ms398×body320valid