Details

Time bar (total: 8.0s)

sample70.0ms

Algorithm
intervals
Results
18.0ms30×body1280valid
15.0ms174×body80valid
13.0ms31×body640valid
4.0ms13×body320valid
2.0ms8×body160valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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:
7.0ms
(+ x (sin y))
35.0ms
(+ (+ x (sin y)) (* z (cos y)))
10.0ms
(* z (cos y))

series158.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ x (sin y))
60.0ms
(+ (+ x (sin y)) (* z (cos y)))
54.0ms
(* z (cos y))

simplify63.0ms

Counts
52 → 52

prune161.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

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:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (cbrt z) (cbrt z))
268.0ms
(cbrt z)
264.0ms
(cbrt z)
247.0ms
(cbrt z)

simplify47.0ms

Counts
85 → 85

prune341.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt (cbrt z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
3.0ms
(cbrt (cbrt z))

series1.3s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt z)
337.0ms
(cbrt z)
298.0ms
(cbrt z)
352.0ms
(cbrt (cbrt z))

simplify66.0ms

Counts
59 → 59

prune438.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
54.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
8.0ms
(cbrt (+ x (sin y)))
15.0ms
(cbrt (+ x (sin y)))
8.0ms
(cbrt (+ x (sin y)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
75.0ms
(cbrt (+ x (sin y)))
79.0ms
(cbrt (+ x (sin y)))
93.0ms
(cbrt (+ x (sin y)))

simplify113.0ms

Counts
107 → 107

prune539.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes181.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify112.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.3s1026×body1280valid
570.0ms5582×body80valid
406.0ms794×body640valid
116.0ms393×body320valid
42.0ms205×body160valid