Details

Time bar (total: 13.6s)

sample107.0ms

Algorithm
intervals
Results
58.0ms753×body80valid

simplify1.3s

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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))
21.0ms
(/ (* (cosh x) (/ y x)) z)

series269.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (cosh x) (/ y x))
163.0ms
(/ (* (cosh x) (/ y x)) z)

simplify877.0ms

Counts
66 → 66
Iterations
IterNodes
done5000
21526
1347
0137

prune418.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite71.0ms

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:
8.0ms
(* (cosh x) y)
23.0ms
(* (* (cosh x) y) (/ 1 x))
33.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series385.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(* (cosh x) y)
118.0ms
(* (* (cosh x) y) (/ 1 x))
173.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify1.9s

Counts
103 → 103
Iterations
IterNodes
done5000
23370
1533
0184

prune468.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
255×times-frac
177×add-sqr-sqrt
114×*-un-lft-identity
108×add-cube-cbrt
96×cbrt-prod
94×add-exp-log
70×associate-*r*
64×associate-*l*
49×div-exp
39×add-cbrt-cube
27×cbrt-undiv
25×prod-exp
18×unswap-sqr
15×cbrt-unprod
11×div-inv
6×pow1
4×rec-exp 1-exp add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 229
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
123.0ms
(* (/ (/ (* y (cosh x)) (cbrt z)) (cbrt z)) (/ (/ 1 (cbrt z)) x))

series986.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt z)
274.0ms
(cbrt z)
260.0ms
(cbrt z)
200.0ms
(* (/ (/ (* y (cosh x)) (cbrt z)) (cbrt z)) (/ (/ 1 (cbrt z)) x))

simplify681.0ms

Counts
241 → 241
Iterations
IterNodes
done5001
11448
0395

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
7.1b
(* (* (* (cosh x) y) (/ 1 x)) (/ 1 z))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
164×add-exp-log
97×prod-exp
58×add-cbrt-cube
38×div-exp
29×associate-*r* cbrt-unprod
21×add-sqr-sqrt
19×pow1 rec-exp *-un-lft-identity 1-exp add-cube-cbrt
18×times-frac
14×associate-*l/
11×cbrt-undiv
10×pow-prod-down
7×frac-times cosh-def
5×associate-*l*
4×associate-*r/ un-div-inv
3×*-commutative add-log-exp
2×div-inv
1×unswap-sqr
Counts
3 → 140
Calls
3 calls:
12.0ms
(* (cosh x) y)
41.0ms
(* (* (cosh x) y) (/ 1 x))
97.0ms
(* (* (* (cosh x) y) (/ 1 x)) (/ 1 z))

series384.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (cosh x) y)
115.0ms
(* (* (cosh x) y) (/ 1 x))
194.0ms
(* (* (* (cosh x) y) (/ 1 x)) (/ 1 z))

simplify493.0ms

Counts
149 → 149
Iterations
IterNodes
done5000
1799
0238

prune404.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes295.0ms

Accuracy

92.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.1b

bsearch118.0ms

Steps
ItersRangePoint
8
1.0697006936869114e-29
5.0385015978923984e-26
3.8141371508246767e-28
4
-8.950542955224107e-56
-4.7142755550442875e-56
-8.71058600428243e-56

simplify2.0ms

Iterations
IterNodes
done25
125
017

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s22302×body80valid