Details

Time bar (total: 5.6s)

sample91.0ms

Algorithm
intervals
Results
31.0ms24×body1280valid
19.0ms178×body80valid
14.0ms29×body640valid
6.0ms18×body320valid
2.0ms7×body160valid

simplify4.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sin y))
0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.2b
(* z (cos y))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
12.0ms
(+ x (sin y))
68.0ms
(+ (+ x (sin y)) (* z (cos y)))
15.0ms
(* z (cos y))

series153.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ x (sin y))
65.0ms
(+ (+ x (sin y)) (* z (cos y)))
46.0ms
(* z (cos y))

simplify86.0ms

Counts
52 → 52

prune127.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite26.0ms

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:
20.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series489.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
103.0ms
(cbrt (cos y))
106.0ms
(cbrt (cos y))
107.0ms
(cbrt (cos y))

simplify93.0ms

Counts
85 → 85

prune244.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite26.0ms

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:
19.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series975.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt z) (cbrt z))
198.0ms
(cbrt z)
226.0ms
(cbrt z)
320.0ms
(cbrt z)

simplify89.0ms

Counts
85 → 85

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cos y))
0.0b
(sqrt (cos y))
0.1b
(* z (sqrt (cos y)))
0.1b
(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(sqrt (cos y))
1.0ms
(sqrt (cos y))
16.0ms
(* z (sqrt (cos y)))
28.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (cos y))
15.0ms
(sqrt (cos y))
57.0ms
(* z (sqrt (cos y)))
38.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify71.0ms

Counts
81 → 81

prune174.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
860.0ms5523×body80valid
566.0ms975×body1280valid
310.0ms836×body640valid
139.0ms465×body320valid
68.0ms201×body160valid