Details

Time bar (total: 8.8s)

sample115.0ms

Algorithm
intervals
Results
34.0ms52×body1280valid
27.0ms10×body160valid
18.0ms200×body80valid
15.0ms37×body640valid
10.0ms36×body320valid

simplify4.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
4.0ms
(* (exp re) (cos im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
Slowest
23.0ms
(* (exp re) (cos im))

series45.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
45.0ms
(* (exp re) (cos im))

simplify493.0ms

Counts
13 → 24
Calls
13 calls:
Slowest
345.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
68.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
15.0ms
(+ re (log (cos im)))
11.0ms
(* (sqrt (exp re)) (sqrt (cos im)))
10.0ms
(* (sqrt (exp re)) (sqrt (cos im)))

prune245.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×*-un-lft-identity add-cube-cbrt sqrt-prod
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 49
Calls
2 calls:
Slowest
69.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
21.0ms
(* (sqrt (exp re)) (cos im))

series87.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(* (sqrt (exp re)) (cos im))
36.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify1.4s

Counts
33 → 55
Calls
33 calls:
Slowest
393.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))))
292.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im))))
288.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))
92.0ms
(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
64.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))

prune546.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.4b
(expm1 (* (exp re) (cos im)))
0.1b
(log1p (expm1 (* (exp re) (cos im))))
0.0b
(* (exp re) (cos im))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-cube-cbrt
4×add-exp-log log1p-expm1-u
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 add-log-exp
1×log1p-udef expm1-log1p pow-prod-down prod-exp log1p-expm1 *-commutative cbrt-unprod expm1-udef unswap-sqr
Counts
3 → 45
Calls
3 calls:
Slowest
21.0ms
(* (exp re) (cos im))
1.0ms
(expm1 (* (exp re) (cos im)))
0.0ms
(log1p (expm1 (* (exp re) (cos im))))

series225.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
109.0ms
(log1p (expm1 (* (exp re) (cos im))))
80.0ms
(expm1 (* (exp re) (cos im)))
36.0ms
(* (exp re) (cos im))

simplify1.1s

Counts
21 → 54
Calls
21 calls:
Slowest
273.0ms
(- (+ (* (pow re 2) E) (+ (* re E) E)) 1)
233.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
209.0ms
(- (exp (* (cos im) (exp re))) 1)
191.0ms
(- (exp (* (cos im) (exp re))) 1)
87.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))

prune514.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.5s1525×body1280valid
812.0ms6843×body80valid
775.0ms1238×body640valid
205.0ms641×body320valid
107.0ms293×body160valid