Details

Time bar (total: 14.8s)

sample114.0ms

Algorithm
intervals
Results
38.0ms47×body1280valid
23.0ms41×body640valid
16.0ms129×body80valid
10.0ms28×body320valid
3.0ms11×body160valid

simplify24.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.2b
(* x (sin y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
20.0ms
(+ (* x (sin y)) (* z (cos y)))
10.0ms
(* z (cos y))
13.0ms
(* x (sin y))

series229.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(+ (* x (sin y)) (* z (cos y)))
47.0ms
(* z (cos y))
68.0ms
(* x (sin y))

simplify1.3s

Counts
56 → 56

prune268.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

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))

rewrite33.0ms

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:
21.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))

series836.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
179.0ms
(cbrt (cos y))
152.0ms
(cbrt (cos y))
181.0ms
(cbrt (cos y))

simplify987.0ms

Counts
85 → 85

prune433.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (sin y))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(cbrt (pow (cos y) 2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
18.0ms
(* x (sin y))
5.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
3.0ms
(cbrt (pow (cos y) 2))

series567.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* x (sin y))
35.0ms
(pow (cos y) 2)
177.0ms
(cbrt (cos y))
294.0ms
(cbrt (pow (cos y) 2))

simplify1.4s

Counts
75 → 75

prune364.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(cbrt (exp (log (pow (cos y) 2))))
2.1b
(log (pow (cos y) 2))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod
14×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
8×exp-sum
7×add-exp-log
5×pow1
4×add-cbrt-cube add-log-exp
3×pow-unpow rem-log-exp unpow2 sqr-pow
2×pow-to-exp pow1/3 pow-exp
1×pow-pow log-pow
Counts
4 → 67
Calls
4 calls:
4.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
8.0ms
(cbrt (exp (log (pow (cos y) 2))))
10.0ms
(log (pow (cos y) 2))

series612.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(pow (cos y) 2)
164.0ms
(cbrt (cos y))
257.0ms
(cbrt (exp (log (pow (cos y) 2))))
168.0ms
(log (pow (cos y) 2))

simplify1.4s

Counts
79 → 79

prune323.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes338.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify738.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.4s1478×body1280valid
740.0ms1292×body640valid
692.0ms4324×body80valid
260.0ms609×body320valid
70.0ms297×body160valid