Details

Time bar (total: 28.7s)

sample169.0ms

Algorithm
intervals
Results
60.0ms88×body1280valid
52.0ms80×body640valid
24.0ms271×body80valid
13.0ms42×body320valid
3.0ms15×body160valid

simplify255.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
255.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite19.0ms

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
18.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
112.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
40.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts
19 → 41
Calls
19 calls:
Slowest
216.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
202.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
176.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
157.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
76.0ms
(- (log (* 0.5 (cos re))) im)

prune414.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-/r* times-frac associate-*l* pow-prod-down insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ associate-*r* *-commutative flip-+ div-inv associate-/l*
Counts
3 → 60
Calls
3 calls:
Slowest
32.0ms
(* (exp im) (* 0.5 (cos re)))
23.0ms
(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
19.0ms
(/ (* 0.5 (cos re)) (exp im))

series212.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
118.0ms
(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
50.0ms
(* (exp im) (* 0.5 (cos re)))
44.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify2.4s

Counts
33 → 69
Calls
33 calls:
Slowest
470.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))
411.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))
199.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
187.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
177.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))

prune751.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
66×sqrt-prod
57×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube add-exp-log
12×associate-/r*
11×associate-/l*
9×div-inv
8×sqrt-pow1
7×cbrt-undiv div-exp
6×pow1 exp-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg pow1/2 prod-exp cbrt-unprod
1×associate-/l/
Counts
4 → 164
Calls
4 calls:
Slowest
39.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
25.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
5.0ms
(sqrt (exp im))
5.0ms
(sqrt (exp im))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
71.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
27.0ms
(sqrt (exp im))
22.0ms
(sqrt (exp im))

simplify7.5s

Counts
192 → 176
Calls
192 calls:
Slowest
403.0ms
(/ (/ (* (* (* 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))))
326.0ms
(/ (/ (* (* (* 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))))
197.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
193.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.25 im)))
189.0ms
(- (- (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im))))

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (cos re))))
0.0b
(cbrt (exp im))
0.0b
(cbrt (exp im))
0.0b
(cbrt (exp im))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
15×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
Slowest
89.0ms
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (cos re))))
3.0ms
(cbrt (exp im))
2.0ms
(cbrt (exp im))
2.0ms
(cbrt (exp im))

series408.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(cbrt (exp im))
117.0ms
(cbrt (exp im))
99.0ms
(cbrt (exp im))
71.0ms
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (cos re))))

simplify3.9s

Counts
41 → 85
Calls
41 calls:
Slowest
606.0ms
(* (* (exp im) (exp im)) (* (exp im) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re)))))
369.0ms
(* (* (exp im) (exp im)) (* (exp im) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re)))))
303.0ms
(* (* (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* (* (cbrt (exp im)) (* 0.5 (cos re))) (* (cbrt (exp im)) (* 0.5 (cos re)))) (* (cbrt (exp im)) (* 0.5 (cos re)))))
271.0ms
(* (* (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (exp im) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re)))))
233.0ms
(* (* (exp im) (exp im)) (* (* (* (cbrt (exp im)) (* 0.5 (cos re))) (* (cbrt (exp im)) (* 0.5 (cos re)))) (* (cbrt (exp im)) (* 0.5 (cos re)))))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample7.5s

Algorithm
intervals
Results
3.7s2986×body1280valid
1.5s2423×body640valid
1.2s8733×body80valid
724.0ms1255×body320valid
198.0ms602×body160valid