Details

Time bar (total: 11.8s)

sample105.0ms

Algorithm
intervals
Results
39.0ms91×body1280valid
19.0ms75×body640valid
16.0ms288×body80valid
8.0ms46×body320valid
2.0ms21×body160valid

simplify708.0ms

Counts
1 → 1

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
94.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify549.0ms

Counts
26 → 26

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* (/ 1.0 2.0) (cos re)) (exp im)) (* (* (/ 1.0 2.0) (cos re)) (exp im)))
0.0b
(/ (* (/ 1.0 2.0) (cos re)) (exp im))
0.0b
(* (* (/ 1.0 2.0) (cos re)) (exp im))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube
15×add-exp-log
8×pow1
7×prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac associate-*r* pow-prod-down associate-/r*
2×div-inv
1×+-commutative frac-2neg flip3-+ associate-*l* frac-add clear-num sum-log *-commutative flip-+ associate-/l/ distribute-lft-out associate-/l*
Counts
3 → 58
Calls
3 calls:
47.0ms
(+ (/ (* (/ 1.0 2.0) (cos re)) (exp im)) (* (* (/ 1.0 2.0) (cos re)) (exp im)))
31.0ms
(/ (* (/ 1.0 2.0) (cos re)) (exp im))
49.0ms
(* (* (/ 1.0 2.0) (cos re)) (exp im))

series235.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(+ (/ (* (/ 1.0 2.0) (cos re)) (exp im)) (* (* (/ 1.0 2.0) (cos re)) (exp im)))
62.0ms
(/ (* (/ 1.0 2.0) (cos re)) (exp im))
64.0ms
(* (* (/ 1.0 2.0) (cos re)) (exp im))

simplify1.0s

Counts
67 → 67

prune226.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (/ 1.0 2.0) (cos re)) 2.0) (* (exp im) (* (* 1.0 (cos re)) (exp im))))
0.0b
(* (* 1.0 (cos re)) (exp im))
0.0b
(* (exp im) (* (* 1.0 (cos re)) (exp im)))
0.0b
(/ (+ (* (* (/ 1.0 2.0) (cos re)) 2.0) (* (exp im) (* (* 1.0 (cos re)) (exp im)))) (* (exp im) 2.0))

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube
18×pow1
15×add-exp-log
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×associate-*r* associate-*l*
3×times-frac associate-/l*
2×cbrt-undiv flip3-+ div-exp *-commutative flip-+ associate-/l/
1×+-commutative frac-2neg clear-num associate-/r* sum-log div-inv
Counts
4 → 73
Calls
4 calls:
48.0ms
(+ (* (* (/ 1.0 2.0) (cos re)) 2.0) (* (exp im) (* (* 1.0 (cos re)) (exp im))))
47.0ms
(* (* 1.0 (cos re)) (exp im))
99.0ms
(* (exp im) (* (* 1.0 (cos re)) (exp im)))
130.0ms
(/ (+ (* (* (/ 1.0 2.0) (cos re)) 2.0) (* (exp im) (* (* 1.0 (cos re)) (exp im)))) (* (exp im) 2.0))

series412.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(+ (* (* (/ 1.0 2.0) (cos re)) 2.0) (* (exp im) (* (* 1.0 (cos re)) (exp im))))
59.0ms
(* (* 1.0 (cos re)) (exp im))
78.0ms
(* (exp im) (* (* 1.0 (cos re)) (exp im)))
171.0ms
(/ (+ (* (* (/ 1.0 2.0) (cos re)) 2.0) (* (exp im) (* (* 1.0 (cos re)) (exp im)))) (* (exp im) 2.0))

simplify1.1s

Counts
85 → 85

prune260.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

-22.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify411.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.4s3012×body1280valid
1.3s8611×body80valid
1.2s2440×body640valid
332.0ms1198×body320valid
97.0ms577×body160valid