Details

Time bar (total: 19.5s)

sample157.0ms

Algorithm
intervals
Results
77.0ms93×body1280valid
26.0ms75×body640valid
21.0ms277×body80valid
7.0ms31×body320valid
3.0ms18×body160valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12311
25911
310811
448911
5434311
done500011

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite117.0ms

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-+ log1p-expm1-u distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* *-commutative
Counts
2 → 42
Calls
2 calls:
30.0ms
(+ (exp (- im)) (exp im))
84.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (exp (- im)) (exp im))
83.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.4s

Counts
48 → 48
Iterations

Useful iterations: done (1.4s)

IterNodesCost
089586
1269566
21691478
done5000474

prune272.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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 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 → 63
Calls
3 calls:
30.0ms
(* (* 0.5 (cos re)) (exp im))
34.0ms
(+ (* 0.5 (/ (cos re) (exp im))) (* (* 0.5 (cos re)) (exp im)))
14.0ms
(/ (cos re) (exp im))

series216.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* (* 0.5 (cos re)) (exp im))
116.0ms
(+ (* 0.5 (/ (cos re) (exp im))) (* (* 0.5 (cos re)) (exp im)))
38.0ms
(/ (cos re) (exp im))

simplify1.0s

Counts
72 → 72
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0123888
1325828
21548723
done5000718

prune400.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (exp im) (cos re) (/ (cos re) (exp im)))
0.0b
(/ (cos re) (exp im))

rewrite19.0ms

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 im) (cos re) (/ (cos re) (exp im)))
17.0ms
(/ (cos re) (exp im))

series135.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(fma (exp im) (cos re) (/ (cos re) (exp im)))
37.0ms
(/ (cos re) (exp im))

simplify1.4s

Counts
45 → 45
Iterations

Useful iterations: 3 (281.0ms)

IterNodesCost
073465
1140452
2436413
31958411
done5001411

prune256.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (expm1 (+ im im)) (exp (* im -2)))))
0.0b
(pow (exp im) 3)
0.1b
(pow (exp (- im)) 3)
0.2b
(/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (expm1 (+ im im)) (exp (* im -2))))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
171×*-un-lft-identity
72×times-frac
64×distribute-lft-out
43×add-sqr-sqrt add-cube-cbrt
42×unpow-prod-down cube-prod associate-*r*
20×add-cbrt-cube
18×add-exp-log
15×pow-pow
13×exp-prod
11×pow1
9×sum-cubes associate-/l*
6×pow-unpow prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×distribute-lft-neg-in cbrt-undiv distribute-rgt-neg-in flip3-+ div-exp pow-prod-down flip-+
2×cube-div cube-mult pow-to-exp unpow3 pow-exp div-inv rem-cube-cbrt sqr-pow associate-/l/
1×neg-sub0 exp-neg clear-num neg-mul-1 frac-2neg exp-diff associate-*l* associate-*r/ *-commutative
Counts
4 → 196
Calls
4 calls:
179.0ms
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (expm1 (+ im im)) (exp (* im -2)))))
7.0ms
(pow (exp im) 3)
13.0ms
(pow (exp (- im)) 3)
142.0ms
(/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (expm1 (+ im im)) (exp (* im -2))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (expm1 (+ im im)) (exp (* im -2)))))
42.0ms
(pow (exp im) 3)
47.0ms
(pow (exp (- im)) 3)
192.0ms
(/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (expm1 (+ im im)) (exp (* im -2))))

simplify499.0ms

Counts
208 → 208
Iterations

Useful iterations: done (489.0ms)

IterNodesCost
02544470
17774144
done50003756

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1912
done912

end0.0ms

sample6.9s

Algorithm
intervals
Results
2.2s2945×body1280valid
2.0s8557×body80valid
1.6s2454×body640valid
356.0ms1209×body320valid
107.0ms614×body160valid