Details

Time bar (total: 19.6s)

sample196.0ms

Algorithm
halfpoints

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5000
61039
5247
4128
383
248
130
016

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (exp x) (cos y) (/ (cos y) (exp x)))
0.0b
(/ (cos y) (exp x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube
3×associate-/r* add-exp-log associate-/l*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (exp x) (cos y) (/ (cos y) (exp x)))
8.0ms
(/ (cos y) (exp x))

series115.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(fma (exp x) (cos y) (/ (cos y) (exp x)))
33.0ms
(/ (cos y) (exp x))

simplify1.1s

Counts
45 → 45
Iterations
IterNodes
done5000
31851
2425
1137
073

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp x))
0.0b
(fma (exp x) (cos y) (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))))
0.0b
(/ (cos y) (sqrt (exp x)))
0.0b
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
159×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
147×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
5×pow1
4×expm1-log1p-u cbrt-undiv sqrt-pow1 div-exp log1p-expm1-u add-log-exp
3×exp-prod
2×clear-num frac-2neg
1×rem-sqrt-square pow1/2 fma-udef associate-/l/
Counts
4 → 246
Calls
4 calls:
2.0ms
(sqrt (exp x))
0.0ms
(fma (exp x) (cos y) (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))))
12.0ms
(/ (cos y) (sqrt (exp x)))
31.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (exp x))
96.0ms
(fma (exp x) (cos y) (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))))
53.0ms
(/ (cos y) (sqrt (exp x)))
50.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

simplify2.1s

Counts
258 → 258
Iterations
IterNodes
done5001
23314
1653
0287

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
966×times-frac
783×sqrt-prod
706×add-sqr-sqrt
470×*-un-lft-identity
446×add-cube-cbrt
202×associate-*r*
64×unswap-sqr
54×add-exp-log
34×add-cbrt-cube
31×associate-*l*
28×associate-/l*
26×div-exp
24×associate-/r* div-inv
23×sqrt-pow1
16×pow1
15×pow-flip
14×cbrt-undiv
11×pow-div
10×prod-exp
9×exp-prod
7×pow1/2
6×cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×clear-num frac-2neg inv-pow
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 689
Calls
4 calls:
8.0ms
(/ 1 (sqrt (exp x)))
20.0ms
(/ (cos y) (sqrt (sqrt (exp x))))
231.0ms
(* (/ (cos y) (sqrt (sqrt (exp x)))) (/ (/ 1 (sqrt (exp x))) (sqrt (sqrt (exp x)))))
26.0ms
(/ (/ 1 (sqrt (exp x))) (sqrt (sqrt (exp x))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 1 (sqrt (exp x)))
87.0ms
(/ (cos y) (sqrt (sqrt (exp x))))
55.0ms
(* (/ (cos y) (sqrt (sqrt (exp x)))) (/ (/ 1 (sqrt (exp x))) (sqrt (sqrt (exp x)))))
179.0ms
(/ (/ 1 (sqrt (exp x))) (sqrt (sqrt (exp x))))

simplify1.9s

Counts
701 → 701
Iterations
IterNodes
done5001
11988
0603

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample7.7s

Algorithm
halfpoints