Details

Time bar (total: 19.5s)

sample194.0ms

Algorithm
intervals
Results
61.0ms89×body1280valid
32.0ms75×body640valid
27.0ms296×body80valid
8.0ms28×body320valid
3.0ms15×body160valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5000
84594
72791
61848
5764
4238
3102
259
123
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt associate-*r* add-cube-cbrt add-log-exp
3×fma-def pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* *-commutative
Counts
2 → 44
Calls
2 calls:
15.0ms
(+ (exp (- im)) (exp im))
50.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (exp (- im)) (exp im))
64.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.1s

Counts
50 → 50
Iterations
IterNodes
done5001
21125
1270
091

prune189.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×add-cbrt-cube
9×times-frac
8×pow1
7×add-exp-log
5×add-log-exp
3×expm1-log1p-u associate-/r* associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u associate-/l*
1×cbrt-undiv +-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-exp associate-*l* *-commutative flip-+ div-inv
Counts
3 → 66
Calls
3 calls:
23.0ms
(+ (* 0.5 (/ (cos re) (exp im))) (* (* 0.5 (cos re)) (exp im)))
22.0ms
(* (* 0.5 (cos re)) (exp im))
10.0ms
(/ (cos re) (exp im))

series196.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(+ (* 0.5 (/ (cos re) (exp im))) (* (* 0.5 (cos re)) (exp im)))
60.0ms
(* (* 0.5 (cos re)) (exp im))
34.0ms
(/ (cos re) (exp im))

simplify2.6s

Counts
75 → 75
Iterations
IterNodes
done5000
34654
21102
1329
0126

prune330.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 0.5 (exp im))
0.1b
(* (* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))))
0.2b
(* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))))
0.5b
(cbrt (* (* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))))

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
198×pow1
86×pow-prod-down
59×add-cbrt-cube
58×add-exp-log
39×prod-exp cbrt-unprod
38×pow-prod-up
19×pow-plus
16×pow-sqr
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
8×distribute-rgt-in distribute-lft-in fma-udef
4×pow2 expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×associate-*r* associate-*l* pow3 *-commutative
1×cbrt-prod cbrt-undiv clear-num frac-2neg pow1/3 swap-sqr div-exp rem-cbrt-cube div-inv
Counts
4 → 165
Calls
4 calls:
8.0ms
(/ 0.5 (exp im))
131.0ms
(* (* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))))
53.0ms
(* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))))
129.0ms
(cbrt (* (* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 0.5 (exp im))
135.0ms
(* (* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))))
111.0ms
(* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))))
99.0ms
(cbrt (* (* (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))) (* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))))

simplify1.9s

Counts
177 → 177
Iterations
IterNodes
done5000
21586
1448
0185

prune529.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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
done14
114
010

end0.0ms

sample7.4s

Algorithm
intervals
Results
2.8s2896×body1280valid
2.1s8579×body80valid
1.5s2318×body640valid
552.0ms1242×body320valid
164.0ms654×body160valid