Details

Time bar (total: 24.2s)

sample206.0ms

Algorithm
halfpoints

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5033
94781
82253
71221
6423
5178
4114
380
248
130
016

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:
15.0ms
(* (cos y) (exp x))
19.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
11.0ms
(/ (cos y) (exp x))

series141.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (cos y) (exp x))
73.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
34.0ms
(/ (cos y) (exp x))

simplify1.5s

Counts
69 → 69
Iterations
IterNodes
done5002
32434
2681
1238
0101

prune289.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (exp x)) (exp x))
0.0b
(/ 1 (exp x))
0.0b
(* (cos y) (+ (/ 1 (exp x)) (exp x)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×pow1 add-exp-log
5×associate-*r* add-log-exp
4×pow-flip distribute-lft-out
3×exp-prod associate-/r* associate-*l* insert-posit16 div-inv associate-/l*
2×flip3-+ div-exp associate-*r/ flip-+
1×distribute-rgt-in cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
3 → 74
Calls
3 calls:
15.0ms
(+ (/ 1 (exp x)) (exp x))
6.0ms
(/ 1 (exp x))
64.0ms
(* (cos y) (+ (/ 1 (exp x)) (exp x)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (/ 1 (exp x)) (exp x))
15.0ms
(/ 1 (exp x))
70.0ms
(* (cos y) (+ (/ 1 (exp x)) (exp x)))

simplify2.7s

Counts
83 → 83
Iterations
IterNodes
done5001
33826
2853
1287
0119

prune308.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (exp (/ (cos y) (exp x)))) (* (cos y) (exp x)))
0.0b
(/ (cos y) (exp x))
0.1b
(exp (/ (cos y) (exp x)))
0.4b
(log (exp (/ (cos y) (exp x))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
26×exp-prod
14×log-pow
6×log-prod add-cbrt-cube add-log-exp
5×pow1 add-exp-log
4×insert-posit16
3×associate-+l+ associate-/r* div-inv associate-/l*
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp rem-log-exp flip-+ rem-exp-log
Counts
4 → 91
Calls
4 calls:
49.0ms
(+ (log (exp (/ (cos y) (exp x)))) (* (cos y) (exp x)))
20.0ms
(/ (cos y) (exp x))
14.0ms
(exp (/ (cos y) (exp x)))
11.0ms
(log (exp (/ (cos y) (exp x))))

series236.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(+ (log (exp (/ (cos y) (exp x)))) (* (cos y) (exp x)))
48.0ms
(/ (cos y) (exp x))
56.0ms
(exp (/ (cos y) (exp x)))
32.0ms
(log (exp (/ (cos y) (exp x))))

simplify1.7s

Counts
103 → 103
Iterations
IterNodes
done5002
32237
2751
1273
0138

prune495.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
0.3b
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
0.5b
(/ (+ (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))) (* (* (cos y) (exp x)) (* (* (cos y) (exp x)) (* (cos y) (exp x))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))))
20.2b
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
92×times-frac
69×*-un-lft-identity add-cube-cbrt
30×add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
22×add-exp-log
18×pow1
9×cbrt-undiv div-exp div-inv
8×prod-exp associate-/r/ cbrt-unprod unswap-sqr
6×frac-add add-log-exp
4×frac-times flip3-- cube-unmult pow3 associate-*l/ associate-*r/ sum-cubes insert-posit16 flip-- associate-/l*
3×associate-/r*
2×pow2 flip3-+ pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up flip-+ associate-/l/
1×clear-num sub-neg frac-2neg distribute-rgt-out-- diff-log
Counts
4 → 192
Calls
4 calls:
43.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
37.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
998.0ms
(/ (+ (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))) (* (* (cos y) (exp x)) (* (* (cos y) (exp x)) (* (cos y) (exp x))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))))
69.0ms
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))

series645.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
61.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
385.0ms
(/ (+ (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))) (* (* (cos y) (exp x)) (* (* (cos y) (exp x)) (* (cos y) (exp x))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))))
130.0ms
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))

simplify2.9s

Counts
204 → 204
Iterations
IterNodes
done5001
23343
1807
0253

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample6.0s

Algorithm
halfpoints