Details

Time bar (total: 10.9s)

sample52.0ms

Algorithm
intervals
Results
15.0ms34×body1280valid
11.0ms170×body80valid
7.0ms25×body640valid
4.0ms19×body320valid
1.0ms8×body160valid

simplify27.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
22.0ms
(* x (/ (sin y) y))
13.0ms
(/ (sin y) y)

series140.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* x (/ (sin y) y))
59.0ms
(/ (sin y) y)

simplify1.4s

Counts
65 → 65

prune182.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (sin y) y) x)
0.1b
(/ (sin y) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
16.0ms
(* (/ (sin y) y) x)
9.0ms
(/ (sin y) y)

series75.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (/ (sin y) y) x)
32.0ms
(/ (sin y) y)

simplify1.1s

Counts
65 → 65

prune201.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
45.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms
(cbrt (/ (sin y) y))
4.0ms
(cbrt (/ (sin y) y))
4.0ms
(cbrt (/ (sin y) y))

series799.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
205.0ms
(cbrt (/ (sin y) y))
179.0ms
(cbrt (/ (sin y) y))
157.0ms
(cbrt (/ (sin y) y))

simplify2.0s

Counts
156 → 156

prune609.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (* (cbrt (sin y)) (cbrt (sin y))) 1))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×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
3×times-frac
1×cbrt-div div-inv
Counts
4 → 49
Calls
4 calls:
12.0ms
(cbrt (/ (* (cbrt (sin y)) (cbrt (sin y))) 1))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series607.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (/ (* (cbrt (sin y)) (cbrt (sin y))) 1))
142.0ms
(cbrt (sin y))
140.0ms
(cbrt (sin y))
157.0ms
(cbrt (sin y))

simplify1.2s

Counts
61 → 61

prune307.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
790.0ms5178×body80valid
350.0ms1029×body640valid
311.0ms906×body1280valid
98.0ms574×body320valid
36.0ms313×body160valid