Details

Time bar (total: 22.2s)

sample204.0ms

Algorithm
intervals
Results
93.0ms92×body1280valid
43.0ms85×body640valid
34.0ms303×body80valid
15.0ms39×body320valid
3.0ms15×body160valid

simplify225.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
225.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube
5×add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-/r* times-frac
2×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 35
Calls
2 calls:
Slowest
11.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
110.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
51.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.1s

Counts
19 → 41
Calls
19 calls:
Slowest
189.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
172.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
167.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
164.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
76.0ms
(- (+ (log 0.5) (log (cos re))) im)

prune439.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube
5×add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
Slowest
39.0ms
(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
14.0ms
(/ (* 0.5 (cos re)) (exp im))

series196.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
128.0ms
(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
68.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts
21 → 45
Calls
21 calls:
Slowest
202.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
195.0ms
(* (exp (* (exp im) (* 0.5 (cos re)))) (exp (/ (* 0.5 (cos re)) (exp im))))
167.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
160.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
145.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))

prune453.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
63×sqrt-prod
54×add-sqr-sqrt
53×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube add-exp-log
12×associate-/r*
11×associate-/l*
9×div-inv
7×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u sqrt-pow1 insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod
2×clear-num frac-2neg prod-exp cbrt-unprod
1×rem-sqrt-square pow1/2 fma-udef associate-/l/
Counts
4 → 156
Calls
4 calls:
Slowest
19.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
16.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
5.0ms
(sqrt (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))

series278.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
99.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
47.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
14.0ms
(sqrt (exp im))

simplify7.6s

Counts
184 → 168
Calls
184 calls:
Slowest
393.0ms
(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
357.0ms
(/ (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
203.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
179.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
166.0ms
(- (- (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im))))

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.1s2919×body1280valid
2.5s2526×body640valid
1.2s8574×body80valid
630.0ms1223×body320valid
524.0ms613×body160valid