Details

Time bar (total: 20.4s)

sample87.0ms

Algorithm
intervals
Results
39.0ms753×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
61941
5500
4222
3102
241
118
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.0b
(/ (* (cosh x) (/ y x)) z)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-/r* associate-*l* associate-/l/
2×frac-times associate-*l/ associate-*r/ div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
12.0ms
(* (cosh x) (/ y x))
23.0ms
(/ (* (cosh x) (/ y x)) z)

series299.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(* (cosh x) (/ y x))
170.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.8s

Counts
66 → 66
Iterations
IterNodes
done5000
21526
1347
0137

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
7.0b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×*-un-lft-identity add-cube-cbrt
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×associate-/r* add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
6.0ms
(* (cosh x) y)
36.0ms
(* (* (cosh x) y) (/ 1 x))
24.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series383.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(* (cosh x) y)
105.0ms
(* (* (cosh x) y) (/ 1 x))
151.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify2.5s

Counts
103 → 103
Iterations
IterNodes
done5000
23370
1533
0184

prune526.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.9b
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
143×times-frac
119×add-exp-log
99×add-sqr-sqrt
82×associate-*r*
79×*-un-lft-identity
77×add-cube-cbrt
51×cbrt-prod add-cbrt-cube
50×div-exp
45×prod-exp
27×cbrt-undiv cbrt-unprod
8×div-inv
7×unswap-sqr
6×pow1
5×rec-exp 1-exp associate-*l*
4×add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 179
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
131.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

series998.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt z)
276.0ms
(cbrt z)
249.0ms
(cbrt z)
206.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

simplify1.4s

Counts
191 → 191
Iterations
IterNodes
done5001
11224
0334

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize119.0ms

Local error

Found 4 expressions with local error:

2.2b
(cbrt (/ (/ 1 x) (cbrt z)))
2.2b
(cbrt (/ (/ 1 x) (cbrt z)))
2.2b
(cbrt (/ (/ 1 x) (cbrt z)))
3.1b
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (* (cbrt (/ (/ 1 x) (cbrt z))) (cbrt (/ (/ 1 x) (cbrt z)))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
397×times-frac
363×cbrt-prod
213×add-sqr-sqrt
212×*-un-lft-identity add-cube-cbrt
45×add-exp-log
27×add-cbrt-cube
23×prod-exp cbrt-unprod
22×div-inv
11×cbrt-div
9×pow1
8×cbrt-undiv div-exp
5×frac-times associate-*l* associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 317
Calls
4 calls:
15.0ms
(cbrt (/ (/ 1 x) (cbrt z)))
15.0ms
(cbrt (/ (/ 1 x) (cbrt z)))
11.0ms
(cbrt (/ (/ 1 x) (cbrt z)))
146.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (* (cbrt (/ (/ 1 x) (cbrt z))) (cbrt (/ (/ 1 x) (cbrt z)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt (/ (/ 1 x) (cbrt z)))
258.0ms
(cbrt (/ (/ 1 x) (cbrt z)))
222.0ms
(cbrt (/ (/ 1 x) (cbrt z)))
519.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (* (cbrt (/ (/ 1 x) (cbrt z))) (cbrt (/ (/ 1 x) (cbrt z)))))

simplify2.2s

Counts
329 → 329
Iterations
IterNodes
done5000
23541
1889
0403

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes383.0ms

Accuracy

94.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.1b

bsearch85.0ms

Steps
ItersRangePoint
6
1.3458582109846291e-17
8.017048494364433e-17
7.039456669498942e-17
7
-2.5869196401116968e+38
-7.899729129590724e+36
-4.051020539323259e+37

simplify3.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s22302×body80valid