Details

Time bar (total: 30.4s)

sample256.0ms

Algorithm
intervals
Results
87.0ms90×body1280valid
61.0ms92×body640valid
61.0ms300×body80valid
19.0ms43×body320valid
7.0ms23×body160valid

simplify223.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
222.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune19.0ms

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)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
109.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
68.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify3.1s

Counts
45 → 41
Calls
45 calls:
Slowest
268.0ms
(* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im)))
221.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
215.0ms
(exp (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
213.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
209.0ms
(* (* (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)))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))

prune405.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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
26.0ms
(* (* 0.5 (cos re)) (/ 1 (exp im)))
8.0ms
(/ 1 (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im))))

series212.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
136.0ms
(fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im))))
60.0ms
(* (* 0.5 (cos re)) (/ 1 (exp im)))
16.0ms
(/ 1 (exp im))

simplify9.3s

Counts
105 → 98
Calls
105 calls:
Slowest
546.0ms
(* (* (fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im)))) (fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im))))) (fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im)))))
510.0ms
(* (* 0.5 (cos re)) (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im)))))
369.0ms
(* (* 0.5 (cos re)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp im)) (cbrt (exp im)))))
360.0ms
(exp (* (* 0.5 (cos re)) (/ 1 (exp im))))
315.0ms
(sqrt (fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (/ 1 (exp im)))))

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 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))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube
5×add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×exp-neg expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 exp-diff associate-*l* un-div-inv *-commutative fma-udef
Counts
2 → 35
Calls
2 calls:
Slowest
30.0ms
(* (* 0.5 (cos re)) (exp (- im)))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (exp (- im))))

series163.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (exp (- im))))
63.0ms
(* (* 0.5 (cos re)) (exp (- im)))

simplify6.8s

Counts
39 → 41
Calls
39 calls:
Slowest
576.0ms
(exp (fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (exp (- im)))))
570.0ms
(* 0.5 (* (exp (* -1 im)) (cos re)))
493.0ms
(* (* (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))))) (fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (exp (- im)))))
401.0ms
(exp (* (* 0.5 (cos re)) (exp (- im))))
325.0ms
(log (fma (exp im) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (exp (- im)))))

prune390.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end1.0ms

sample8.0s

Algorithm
intervals
Results
2.9s2913×body1280valid
1.9s8319×body80valid
1.8s2379×body640valid
687.0ms1255×body320valid
215.0ms658×body160valid