Details

Time bar (total: 3.4s)

sample42.0ms

Algorithm
intervals
Results
20.0ms683×body80valid

simplify52.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024
done50024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.8b
(/ (* (cosh x) (/ y x)) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series197.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (cosh x) (/ y x))
116.0ms
(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0345374
11456317
25001317
done5001317

prune146.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
6.1b
(/ y (* x z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
25.0ms
(* (cosh x) (/ y (* x z)))
8.0ms
(/ y (* x z))

series140.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(* (cosh x) (/ y (* x z)))
22.0ms
(/ y (* x z))

simplify35.0ms

Counts
56 → 56
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0259290
11062239
25002239
done5002239

prune108.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.3b
(/ 1 (* x z))
6.3b
(* y (/ 1 (* x z)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
3×cosh-def un-div-inv associate-/l* add-log-exp
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 91
Calls
3 calls:
63.0ms
(* (cosh x) (* y (/ 1 (* x z))))
11.0ms
(/ 1 (* x z))
31.0ms
(* y (/ 1 (* x z)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* (cosh x) (* y (/ 1 (* x z))))
12.0ms
(/ 1 (* x z))
22.0ms
(* y (/ 1 (* x z)))

simplify47.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0367483
11640380
25001370
done5001370

prune138.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (* (/ 1 x) (/ 1 z))))
0.3b
(* (/ 1 x) (/ 1 z))
6.3b
(* y (* (/ 1 x) (/ 1 z)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
178×add-exp-log
100×prod-exp
58×add-cbrt-cube
48×div-exp
43×add-sqr-sqrt
30×times-frac
28×cbrt-unprod
25×*-un-lft-identity
24×rec-exp 1-exp
21×pow1
20×associate-*r/
19×add-cube-cbrt associate-*l*
15×associate-*r*
12×cbrt-undiv pow-prod-down
9×unswap-sqr
8×frac-times
5×cosh-def associate-*l/
4×un-div-inv
3×*-commutative add-log-exp
2×pow-flip div-inv inv-pow
Counts
3 → 158
Calls
3 calls:
131.0ms
(* (cosh x) (* y (* (/ 1 x) (/ 1 z))))
25.0ms
(* (/ 1 x) (/ 1 z))
42.0ms
(* y (* (/ 1 x) (/ 1 z)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(* (cosh x) (* y (* (/ 1 x) (/ 1 z))))
12.0ms
(* (/ 1 x) (/ 1 z))
25.0ms
(* y (* (/ 1 x) (/ 1 z)))

simplify66.0ms

Counts
167 → 167
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0718997
12857768
25002714
done5002714

prune212.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

97.1% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.9b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721
12721
done2721

end0.0ms

sample1.2s

Algorithm
intervals
Results
571.0ms22927×body80valid