Details

Time bar (total: 11.4s)

sample157.0ms

Algorithm
intervals
Results
51.0ms86×body1280valid
41.0ms256×body80valid
27.0ms77×body640valid
7.0ms32×body320valid
4.0ms23×body160valid

simplify1.0s

Counts
1 → 1

prune3.0ms

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
4×associate-*r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
122.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
26.0ms
(+ (exp (- im)) (exp im))

series132.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
29.0ms
(+ (exp (- im)) (exp im))

simplify548.0ms

Counts
41 → 41

prune170.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/r*
2×cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ associate-*r* clear-num sum-log *-commutative flip-+ div-inv associate-/l*
Counts
3 → 50
Calls
3 calls:
34.0ms
(* (exp im) (* 0.5 (cos re)))
39.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
32.0ms
(/ (* 0.5 (cos re)) (exp im))

series261.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* (exp im) (* 0.5 (cos re)))
136.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
52.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify740.0ms

Counts
59 → 59

prune160.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
21×add-exp-log
12×associate-/r*
11×associate-/l*
9×pow1 div-inv
7×cbrt-undiv div-exp
6×add-log-exp
5×prod-exp cbrt-unprod
3×associate-*l* pow-prod-down
2×frac-2neg clear-num
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ associate-/l/
Counts
4 → 149
Calls
4 calls:
33.0ms
(* (exp im) (* 0.5 (cos re)))
83.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))
31.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
23.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (exp im) (* 0.5 (cos re)))
116.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))
65.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
48.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

simplify1.2s

Counts
161 → 161

prune516.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

-139.9% (0.0b remaining)

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

bsearch0.0ms

simplify62.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.0s3040×body1280valid
1.3s2457×body640valid
843.0ms8455×body80valid
764.0ms1179×body320valid
92.0ms633×body160valid