Details

Time bar (total: 10.0s)

sample111.0ms

Algorithm
intervals
Results
48.0ms45×body1280valid
21.0ms206×body80valid
19.0ms39×body640valid
8.0ms22×body320valid
2.0ms9×body160valid

simplify4.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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
17.0ms
(* (exp re) (sin im))

series52.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
52.0ms
(* (exp re) (sin im))

simplify494.0ms

Counts
13 → 24
Calls
13 calls:
Slowest
237.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
195.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
10.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
9.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
8.0ms
(* (exp re) (sin im))

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))))
0.0b
(sqrt (sin im))
0.0b
(sqrt (sin im))
0.0b
(sqrt (exp re))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
62×pow1
35×pow-prod-down
22×sqrt-pow1
19×pow1/2
16×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
9×sqrt-prod
8×*-un-lft-identity prod-exp pow-prod-up add-cube-cbrt cbrt-unprod
6×pow-sqr
5×sqrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square exp-prod
2×pow-plus
1×pow2 rem-square-sqrt swap-sqr associate-*r* associate-*l* *-commutative
Counts
4 → 98
Calls
4 calls:
Slowest
81.0ms
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))))
2.0ms
(sqrt (exp re))
2.0ms
(sqrt (sin im))
2.0ms
(sqrt (sin im))

series95.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
42.0ms
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))))
20.0ms
(sqrt (sin im))
20.0ms
(sqrt (sin im))
14.0ms
(sqrt (exp re))

simplify2.2s

Counts
82 → 110
Calls
82 calls:
Slowest
507.0ms
(* (* (* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im)))) (* (* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im)))))
226.0ms
(* (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sqrt (sin im)) (sqrt (sin im))) (sqrt (sin im)))) (* (* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im)))))
201.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
184.0ms
(* (* (* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im)))) (* (sqrt (exp re)) (sqrt (sin im)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sqrt (sin im)) (sqrt (sin im))) (sqrt (sin im)))))
166.0ms
(* (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sqrt (sin im)) (sqrt (sin im))) (sqrt (sin im)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sqrt (sin im)) (sqrt (sin im))) (sqrt (sin im)))))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

1.1b
(exp (+ re (log (sin im))))
0.5b
(log (sin im))
0.0b
(+ re (log (sin im)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
6×pow1 log-prod add-log-exp
5×exp-prod
4×add-exp-log distribute-lft-out
3×expm1-log1p-u associate-+r+ fma-def add-cbrt-cube log-pow insert-posit16 log1p-expm1-u
2×sum-log rem-exp-log
1×+-commutative flip3-+ rem-log-exp exp-sum flip-+
Counts
3 → 55
Calls
3 calls:
Slowest
29.0ms
(exp (+ re (log (sin im))))
13.0ms
(+ re (log (sin im)))
5.0ms
(log (sin im))

series214.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
106.0ms
(log (sin im))
65.0ms
(+ re (log (sin im)))
43.0ms
(exp (+ re (log (sin im))))

simplify638.0ms

Counts
29 → 64
Calls
29 calls:
Slowest
177.0ms
(- (log im) (+ (* 1/180 (pow im 4)) (* 1/6 (pow im 2))))
161.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
102.0ms
(- (+ (log im) re) (* 1/6 (pow im 2)))
77.0ms
(exp (* (cbrt (+ re (log (sin im)))) (cbrt (+ re (log (sin im))))))
19.0ms
(exp (+ re (log (sin im))))

prune576.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.7s1563×body1280valid
785.0ms6869×body80valid
633.0ms1279×body640valid
305.0ms565×body320valid
69.0ms303×body160valid