Details

Time bar (total: 12.5s)

sample38.0ms

Algorithm
intervals
Results
20.0ms765×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42198
53758
66268
714778
835708
done50018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.7b
(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
8.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series184.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (cosh x) (/ y x))
108.0ms
(/ (* (cosh x) (/ y x)) z)

simplify517.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
0141739
1351701
21319600
done5000600

prune154.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (cosh x) (* z (/ x y)))
5.2b
(* z (/ x y))

rewrite17.0ms

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 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
2 → 61
Calls
2 calls:
5.0ms
(/ (cosh x) (* z (/ x y)))
10.0ms
(* z (/ x y))

series151.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(/ (cosh x) (* z (/ x y)))
18.0ms
(* z (/ x y))

simplify1.3s

Counts
67 → 67
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
0132658
1328629
21021535
34390535
done5000535

prune143.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) z)
5.2b
(/ (/ (cosh x) z) (/ x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
16×add-exp-log associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×cosh-def associate-/r/
Counts
2 → 247
Calls
2 calls:
2.0ms
(/ (cosh x) z)
11.0ms
(/ (/ (cosh x) z) (/ x y))

series195.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (cosh x) z)
140.0ms
(/ (/ (cosh x) z) (/ x y))

simplify851.0ms

Counts
253 → 253
Iterations

Useful iterations: done (839.0ms)

IterNodesCost
04784786
113714467
done50004403

prune638.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (cosh x) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (/ 1 z) (/ (cbrt x) (cbrt y))))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
1525×times-frac
830×add-sqr-sqrt
637×*-un-lft-identity
622×add-cube-cbrt
525×associate-*r*
513×cbrt-prod
313×add-exp-log
177×div-exp
113×add-cbrt-cube
93×cbrt-undiv
90×prod-exp
58×div-inv
50×cbrt-unprod
48×unswap-sqr
20×associate-*l*
12×rec-exp 1-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 730
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
301.0ms
(* (/ (cosh x) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (/ 1 z) (/ (cbrt x) (cbrt y))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
183.0ms
(cbrt x)
184.0ms
(cbrt x)
118.0ms
(* (/ (cosh x) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (/ 1 z) (/ (cbrt x) (cbrt y))))

simplify347.0ms

Counts
742 → 742
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
0134322489
done500122489

prune3.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes106.0ms

Accuracy

86.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch94.0ms

Steps
ItersRangePoint
10
1.3896786487220964e-12
2942.2625356967415
2.5442302778414774e-06
8
-9.35262946847106e-57
-6.716735875268097e-60
-5.907375773318025e-57

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01632
12225
done2225

end0.0ms

sample1.0s

Algorithm
intervals
Results
608.0ms22378×body80valid