Details

Time bar (total: 16.7s)

sample223.0ms

Algorithm
halfpoints

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2002
82002
71221
6423
5178
4114
380
248
130
016

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
0.0b
(* (cos y) (exp x))
0.0b
(/ (cos y) (exp x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
5×pow1 add-exp-log add-log-exp
3×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l*
2×div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 60
Calls
3 calls:
25.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
11.0ms
(* (cos y) (exp x))
9.0ms
(/ (cos y) (exp x))

series188.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
47.0ms
(* (cos y) (exp x))
45.0ms
(/ (cos y) (exp x))

simplify1.0s

Counts
69 → 69
Iterations
IterNodes
done2000
32000
2682
1238
0101

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.2b
(- (exp x) (exp (- x)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
35×associate-*l*
29×times-frac
23×add-cube-cbrt
14×add-cbrt-cube add-exp-log
8×pow1 add-log-exp
6×associate-*r*
4×prod-exp cbrt-unprod insert-posit16 distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
4 → 103
Calls
4 calls:
12.0ms
(+ (exp x) (exp (- x)))
53.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
81.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
21.0ms
(- (exp x) (exp (- x)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (exp x) (exp (- x)))
67.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
105.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
45.0ms
(- (exp x) (exp (- x)))

simplify1.5s

Counts
115 → 115
Iterations
IterNodes
done2024
32024
21811
1516
0200

prune827.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
0.0b
(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.2b
(- (exp x) (exp (- x)))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
33×add-sqr-sqrt flip3-+ flip-+
32×frac-times
26×cbrt-div
23×associate-*l*
18×add-cube-cbrt
17×associate-*l/
16×times-frac
13×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/
7×associate-*r*
6×swap-sqr distribute-lft-out add-log-exp
4×insert-posit16 distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod unswap-sqr
2×pow-prod-down *-commutative
1×cbrt-prod pow2 distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in pow-plus flip3-- pow1/3 diff-log div-exp pow3 pow-sqr pow-prod-up rem-cbrt-cube div-inv flip--
Counts
4 → 132
Calls
4 calls:
94.0ms
(cbrt (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
91.0ms
(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
75.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
21.0ms
(- (exp x) (exp (- x)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
45.0ms
(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
110.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
42.0ms
(- (exp x) (exp (- x)))

simplify1.4s

Counts
144 → 144
Iterations
IterNodes
done2002
22002
1815
0259

prune975.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cos y) (exp x))
0.2b
(* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x))))
0.2b
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
0.3b
(cbrt (* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x)))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
59×times-frac add-cbrt-cube
47×*-un-lft-identity add-cube-cbrt
41×add-exp-log
26×associate-*l*
25×pow1
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
14×associate-*r*
13×swap-sqr
11×frac-times associate-*r/
7×cbrt-div associate-*l/
6×pow-prod-up div-inv unswap-sqr
4×pow-prod-down insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×pow2 pow-plus cube-unmult pow-sqr *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 173
Calls
4 calls:
17.0ms
(/ (cos y) (exp x))
63.0ms
(* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x))))
21.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
61.0ms
(cbrt (* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x)))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (cos y) (exp x))
70.0ms
(* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x))))
57.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
31.0ms
(cbrt (* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x)))))

simplify1.0s

Counts
185 → 185
Iterations
IterNodes
done2000
22000
1675
0204

prune903.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample5.3s

Algorithm
halfpoints