Details

Time bar (total: 27.7s)

sample196.0ms

Algorithm
intervals
Results
79.0ms94×body1280valid
51.0ms67×body640valid
31.0ms276×body80valid
15.0ms39×body320valid
4.0ms19×body160valid

simplify196.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
196.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite23.0ms

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
22.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
122.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
50.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts
19 → 41
Calls
19 calls:
Slowest
218.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
208.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
192.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
153.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
80.0ms
(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im))))

prune480.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
Slowest
23.0ms
(/ (cos re) (exp im))
0.0ms
(fma (exp im) (cos re) (/ (cos re) (exp im)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(fma (exp im) (cos re) (/ (cos re) (exp im)))
53.0ms
(/ (cos re) (exp im))

simplify897.0ms

Counts
31 → 47
Calls
31 calls:
Slowest
422.0ms
(/ (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im)))
153.0ms
(- 1 (+ (* 1/2 (pow re 2)) im))
51.0ms
(/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im))))
47.0ms
(- (+ (pow im 2) 2) (pow re 2))
21.0ms
(/ 1 (* (cbrt (exp im)) (cbrt (exp im))))

prune501.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (exp im))
0.0b
(* (* 0.5 (cos re)) (/ 1 (exp im)))
0.0b
(fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
17×add-cbrt-cube
13×associate-*r*
12×prod-exp
9×pow1
6×div-exp cbrt-unprod
4×pow-flip
3×expm1-log1p-u cbrt-undiv rec-exp exp-prod associate-/r* 1-exp pow-prod-down insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×div-inv
1×clear-num frac-2neg associate-*l* associate-*r/ un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 89
Calls
3 calls:
Slowest
48.0ms
(* (* 0.5 (cos re)) (/ 1 (exp im)))
12.0ms
(/ 1 (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im))))

series211.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
124.0ms
(fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im))))
71.0ms
(* (* 0.5 (cos re)) (/ 1 (exp im)))
16.0ms
(/ 1 (exp im))

simplify3.1s

Counts
68 → 98
Calls
68 calls:
Slowest
210.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (/ (* (* 1 1) 1) (* (* (exp im) (exp im)) (exp im))))
208.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
188.0ms
(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (/ (* (* 1 1) 1) (* (* (exp im) (exp im)) (exp im))))
187.0ms
(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (/ 1 (exp im)) (/ 1 (exp im))) (/ 1 (exp im))))
155.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
19×pow1
18×sqrt-prod
16×*-un-lft-identity add-cbrt-cube add-cube-cbrt
12×add-exp-log
8×sqrt-pow1 pow1/2 swap-sqr
6×associate-/r* times-frac associate-*r* associate-*l*
5×pow-prod-up
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down prod-exp pow-sqr cbrt-unprod
2×clear-num frac-2neg div-inv associate-/l*
1×pow2 rem-square-sqrt pow-plus sqrt-unprod *-commutative fma-udef
Counts
4 → 111
Calls
4 calls:
Slowest
28.0ms
(/ (* 0.5 (cos re)) (exp im))
24.0ms
(/ (* 0.5 (cos re)) (exp im))
17.0ms
(* (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
127.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
126.0ms
(* (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))
53.0ms
(/ (* 0.5 (cos re)) (exp im))
52.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify9.0s

Counts
99 → 123
Calls
99 calls:
Slowest
779.0ms
(* (* (* (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))) (* (* (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))))
690.0ms
(* (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
651.0ms
(* (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
580.0ms
(* (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
247.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes155.0ms

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
3.9s2916×body1280valid
1.8s2523×body640valid
1.6s8539×body80valid
584.0ms1239×body320valid
175.0ms641×body160valid