Details

Time bar (total: 15.9s)

sample80.0ms

Algorithm
intervals
Results
26.0ms42×body1280valid
21.0ms237×body80valid
17.0ms40×body640valid
6.0ms19×body320valid
1.0ms5×body160valid

simplify6.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
6.0ms
(* (exp re) (sin im))

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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
15.0ms
(* (exp re) (sin im))

series51.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
51.0ms
(* (exp re) (sin im))

simplify548.0ms

Counts
13 → 24
Calls
13 calls:
Slowest
295.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
199.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
8.0ms
(* (exp re) (sin im))
8.0ms
(+ re (log (sin im)))
7.0ms
(* (sin im) (exp re))

prune219.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
12×associate-*l*
11×add-cbrt-cube add-exp-log
8×sqrt-pow1
6×exp-prod
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
Slowest
71.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
34.0ms
(* (sqrt (exp re)) (sin im))
5.0ms
(sqrt (exp re))
5.0ms
(sqrt (exp re))

series152.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(* (sqrt (exp re)) (sin im))
49.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
20.0ms
(sqrt (exp re))
14.0ms
(sqrt (exp re))

simplify2.0s

Counts
55 → 99
Calls
55 calls:
Slowest
346.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
342.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
262.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
259.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
236.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))

prune990.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
24×associate-*l*
22×add-sqr-sqrt pow1
20×add-cbrt-cube add-exp-log
16×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod *-commutative
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 107
Calls
4 calls:
Slowest
171.0ms
(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
52.0ms
(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
13.0ms
(* (sqrt (exp re)) (sin im))
4.0ms
(sqrt (sqrt (exp re)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
114.0ms
(sqrt (sqrt (exp re)))
72.0ms
(* (sqrt (exp re)) (sin im))
41.0ms
(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

simplify4.0s

Counts
74 → 119
Calls
74 calls:
Slowest
539.0ms
(* (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sqrt (sqrt (exp re)))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
538.0ms
(* (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sqrt (sqrt (exp re)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
323.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
252.0ms
(+ (* 9/32 (* (pow re 2) im)) (+ (* 3/4 (* re im)) im))
251.0ms
(* (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sqrt (sqrt (exp re)))) (* (* (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))))

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(expm1 (* (exp re) (sin im)))
0.1b
(log1p (expm1 (* (exp re) (sin im))))
0.0b
(* (exp re) (sin im))

rewrite14.0ms

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
13.0ms
(* (exp re) (sin im))
0.0ms
(expm1 (* (exp re) (sin im)))
0.0ms
(log1p (expm1 (* (exp re) (sin im))))

series233.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
84.0ms
(log1p (expm1 (* (exp re) (sin im))))
84.0ms
(expm1 (* (exp re) (sin im)))
66.0ms
(* (exp re) (sin im))

simplify1.3s

Counts
21 → 54
Calls
21 calls:
Slowest
260.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
233.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
230.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
187.0ms
(- (exp (* (sin im) (exp re))) 1)
144.0ms
(+ (* 1/2 (pow im 2)) (+ (* re im) im))

prune557.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.2s1512×body1280valid
711.0ms1252×body640valid
677.0ms6986×body80valid
475.0ms303×body160valid
246.0ms629×body320valid