Details

Time bar (total: 10.1s)

sample113.0ms

Algorithm
intervals
Results
83.0ms741×body80valid

simplify623.0ms

Counts
1 → 1
Iterations
IterNodes
done2029
6751
5308
4183
384
239
118
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.5b
(/ (* (cosh x) (/ y x)) z)

rewrite27.0ms

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/ insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 62
Calls
2 calls:
9.0ms
(* (cosh x) (/ y x))
17.0ms
(/ (* (cosh x) (/ y x)) z)

series240.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* (cosh x) (/ y x))
145.0ms
(/ (* (cosh x) (/ y x)) z)

simplify588.0ms

Counts
68 → 68
Iterations
IterNodes
done2004
21300
1348
0139

prune350.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ y x) (+ (/ 1/2 (exp x)) (* (exp x) 1/2)))
0.0b
(/ 1/2 (exp x))
6.5b
(/ (* (/ y x) (+ (/ 1/2 (exp x)) (* (exp x) 1/2))) z)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube
18×add-exp-log
13×associate-*l*
6×cbrt-undiv associate-/r* div-exp
5×pow1 associate-/l/
4×frac-times flip3-+ prod-exp associate-*r/ cbrt-unprod flip-+ associate-/l*
3×associate-*r* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*l/ unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative
Counts
3 → 96
Calls
3 calls:
65.0ms
(* (/ y x) (+ (/ 1/2 (exp x)) (* (exp x) 1/2)))
7.0ms
(/ 1/2 (exp x))
42.0ms
(/ (* (/ y x) (+ (/ 1/2 (exp x)) (* (exp x) 1/2))) z)

series271.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(* (/ y x) (+ (/ 1/2 (exp x)) (* (exp x) 1/2)))
9.0ms
(/ 1/2 (exp x))
138.0ms
(/ (* (/ y x) (+ (/ 1/2 (exp x)) (* (exp x) 1/2))) z)

simplify463.0ms

Counts
105 → 105
Iterations
IterNodes
done2001
1607
0198

prune473.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)
0.0b
(/ 1/2 (exp x))
6.7b
(* (/ y x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube
18×add-exp-log
13×associate-*r* associate-*l*
6×cbrt-undiv associate-/r* div-exp associate-/l*
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/l/
1×frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
3 → 109
Calls
3 calls:
60.0ms
(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)
9.0ms
(/ 1/2 (exp x))
67.0ms
(* (/ y x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))

series234.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)
10.0ms
(/ 1/2 (exp x))
149.0ms
(* (/ y x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))

simplify477.0ms

Counts
118 → 118
Iterations
IterNodes
done2000
1572
0209

prune565.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.0b
(* (/ (cbrt y) x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))
4.3b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
126×add-exp-log
67×add-cbrt-cube
59×prod-exp
47×add-sqr-sqrt
44×div-exp
37×times-frac
36×cbrt-unprod
29×associate-*l*
28×*-un-lft-identity add-cube-cbrt
26×cbrt-undiv
17×cbrt-prod
14×associate-*r*
11×pow1
10×1-exp
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ insert-posit16 add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 152
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
62.0ms
(* (/ (cbrt y) x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))
78.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt y)
249.0ms
(cbrt y)
172.0ms
(* (/ (cbrt y) x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))
166.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)))

simplify550.0ms

Counts
164 → 164
Iterations
IterNodes
done2000
1794
0248

prune700.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.3b

bsearch200.0ms

Steps
ItersRangePoint
10
9.403989842889192e+32
1.7357161909551683e+47
4.164739628396679e+36
10
-5.593300959697928e+29
-1629780213615114.5
-2548401331254628.0

simplify6.0ms

Iterations
IterNodes
done29
129
021

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.2s22009×body80valid