Details

Time bar (total: 4.4s)

sample45.0ms

Algorithm
intervals
Results
11.0ms169×body80valid
8.0ms19×body1280valid
7.0ms27×body640valid
4.0ms25×body320valid
2.0ms16×body160valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
10.0ms
(/ (sin y) y)
17.0ms
(* x (/ (sin y) y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (sin y) y)
82.0ms
(* x (/ (sin y) y))

simplify54.0ms

Counts
65 → 65

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
8.7b
(cbrt (* x (/ (sin y) y)))
8.7b
(cbrt (* x (/ (sin y) y)))
8.7b
(cbrt (* x (/ (sin y) y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
29.0ms
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
10.0ms
(cbrt (* x (/ (sin y) y)))
10.0ms
(cbrt (* x (/ (sin y) y)))
11.0ms
(cbrt (* x (/ (sin y) y)))

series776.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
157.0ms
(cbrt (* x (/ (sin y) y)))
166.0ms
(cbrt (* x (/ (sin y) y)))
225.0ms
(cbrt (* x (/ (sin y) y)))

simplify66.0ms

Counts
76 → 76

prune281.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sin y))
7.9b
(/ (* x (sin y)) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 39
Calls
2 calls:
12.0ms
(* x (sin y))
17.0ms
(/ (* x (sin y)) y)

series111.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (sin y))
70.0ms
(/ (* x (sin y)) y)

simplify50.0ms

Counts
45 → 45

prune130.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/r/
Counts
2 → 97
Calls
2 calls:
20.0ms
(/ x (/ y (sin y)))
11.0ms
(/ y (sin y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ x (/ y (sin y)))
34.0ms
(/ y (sin y))

simplify98.0ms

Counts
103 → 103

prune367.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
366.0ms569×body320valid
360.0ms901×body1280valid
307.0ms5191×body80valid
289.0ms1039×body640valid
67.0ms300×body160valid