Details

Time bar (total: 25.3s)

sample118.0ms

Algorithm
intervals
Results
52.0ms99×body1280valid
22.0ms74×body640valid
18.0ms262×body80valid
11.0ms47×body320valid
2.0ms11×body160valid

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5060
94361
82115
7905
6308
5134
485
350
228
115
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×associate-*r*
9×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*l* associate-/l*
2×cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 63
Calls
2 calls:
12.0ms
(* (cosh x) (/ (sin y) y))
8.0ms
(/ (sin y) y)

series172.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(* (cosh x) (/ (sin y) y))
51.0ms
(/ (sin y) y)

simplify2.2s

Counts
69 → 69
Iterations
IterNodes
done5013
33135
2955
1277
0122

prune258.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod insert-posit16 add-log-exp
2×cosh-def clear-num frac-2neg associate-/r/
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 181
Calls
3 calls:
27.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
10.0ms
(/ y (sin y))
11.0ms
(/ 1 (/ y (sin y)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
33.0ms
(/ y (sin y))
34.0ms
(/ 1 (/ y (sin y)))

simplify2.1s

Counts
190 → 190
Iterations
IterNodes
done5000
22010
1680
0262

prune859.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* insert-posit16 add-log-exp
2×cosh-def clear-num frac-2neg associate-/r/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 482
Calls
3 calls:
49.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms
(/ 1 (sin y))
15.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
34.0ms
(/ 1 (sin y))
47.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify2.7s

Counts
491 → 491
Iterations
IterNodes
done5000
24321
11992
0627

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (/ y (sin y)))
0.2b
(cbrt (/ y (sin y)))
0.2b
(cbrt (/ y (sin y)))
0.2b
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
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 insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
24.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series857.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (/ y (sin y)))
191.0ms
(cbrt (/ y (sin y)))
194.0ms
(cbrt (/ y (sin y)))
284.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify3.0s

Counts
160 → 160
Iterations
IterNodes
done5001
44303
31501
2673
1314
0171

prune937.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.3s2916×body1280valid
1.4s2487×body640valid
909.0ms8613×body80valid
402.0ms1239×body320valid
136.0ms626×body160valid