Details

Time bar (total: 22.1s)

sample119.0ms

Algorithm
intervals
Results
47.0ms86×body1280valid
25.0ms86×body640valid
19.0ms284×body80valid
11.0ms53×body320valid
2.0ms15×body160valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done3212
103212
93063
82876
72355
61348
5617
4210
386
257
123
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
0.0b
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
0.0b
(/ 0.5 (exp im))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1 add-log-exp
3×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l*
2×flip3-+ associate-*l/ flip-+
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 61
Calls
3 calls:
21.0ms
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
66.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
6.0ms
(/ 0.5 (exp im))

series152.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
74.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
15.0ms
(/ 0.5 (exp im))

simplify2.0s

Counts
70 → 70
Iterations
IterNodes
done5004
33509
2892
1286
0122

prune334.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (cos re) (+ (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
0.0b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
3.4b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

rewrite935.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
83×times-frac
62×*-un-lft-identity add-cube-cbrt
33×add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
25×add-exp-log
18×pow1
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod div-inv
8×associate-/r/ unswap-sqr
6×frac-add associate-*r/ add-log-exp
4×frac-times flip3-- associate-*l/ insert-posit16 flip--
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 associate-/l*
Counts
4 → 182
Calls
4 calls:
752.0ms
(/ (* (cos re) (+ (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
50.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
50.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
77.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(/ (* (cos re) (+ (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
28.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
33.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
42.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

simplify2.6s

Counts
194 → 194
Iterations
IterNodes
done5007
23942
1874
0254

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (+ (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))) (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
3.4b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
3.4b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
3.4b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×cbrt-prod
14×pow3
10×add-log-exp
8×cbrt-div associate-/r/
7×sum-cubes
6×associate-/r* flip3-- frac-add add-exp-log flip--
5×add-cbrt-cube
4×pow1 insert-posit16 associate-/l*
3×sub-neg distribute-rgt-out-- diff-log
2×frac-times flip3-+ associate-*l/ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 99
Calls
4 calls:
1.1s
(/ (+ (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))) (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
57.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
58.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
71.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
489.0ms
(/ (+ (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))) (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
47.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
42.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
47.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

simplify2.4s

Counts
111 → 111
Iterations
IterNodes
done5005
22301
1559
0216

prune857.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes109.0ms

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
done12
112
09

end0.0ms

sample6.3s

Algorithm
intervals
Results
2.2s2952×body1280valid
1.2s1196×body320valid
1.2s2371×body640valid
1.2s8467×body80valid
162.0ms660×body160valid