Details

Time bar (total: 19.4s)

sample47.0ms

Algorithm
intervals
Results
27.0ms729×body80valid

simplify8.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42208
53688
65748
711868
834108
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite42.0ms

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:
25.0ms
(* (cosh x) (/ y x))
15.0ms
(/ (* (cosh x) (/ y x)) z)

series266.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(* (cosh x) (/ y x))
165.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
0137707
1331670
21289570
done5000570

prune177.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (+ (exp x) (exp (- x))) y) (* 2 x))
0.0b
(* (+ (exp x) (exp (- x))) y)
6.8b
(/ (/ (* (+ (exp x) (exp (- x))) y) (* 2 x)) z)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log add-cbrt-cube
20×times-frac
17×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt
13×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
6×div-inv associate-/l*
5×pow1
4×associate-*l* associate-*l/ associate-/r*
3×associate-*r* associate-/l/ add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×pow-prod-down *-commutative distribute-lft-out unswap-sqr
Counts
3 → 88
Calls
3 calls:
26.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* 2 x))
51.0ms
(* (+ (exp x) (exp (- x))) y)
30.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) (* 2 x)) z)

series256.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* 2 x))
64.0ms
(* (+ (exp x) (exp (- x))) y)
108.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) (* 2 x)) z)

simplify1.2s

Counts
97 → 97
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01821784
14951697
222551407
done50011406

prune265.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.9b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
26.0ms
(* (cosh x) (/ y x))
67.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series217.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* (cosh x) (/ y x))
133.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify1.8s

Counts
90 → 90
Iterations

Useful iterations: 2 (308.0ms)

IterNodesCost
01801136
1463968
21598794
done5000794

prune211.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
5.6b
(/ (/ (* (cosh x) y) z) x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 89
Calls
3 calls:
15.0ms
(/ (* (cosh x) y) z)
8.0ms
(* (cosh x) y)
15.0ms
(/ (/ (* (cosh x) y) z) x)

series394.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(/ (* (cosh x) y) z)
104.0ms
(* (cosh x) y)
181.0ms
(/ (/ (* (cosh x) y) z) x)

simplify1.4s

Counts
98 → 98
Iterations

Useful iterations: 2 (334.0ms)

IterNodesCost
01741111
14101062
21431944
done5000944

prune210.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes243.0ms

Accuracy

95.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.0b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02560
13447
done3447

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.8s22401×body80valid