Details

Time bar (total: 9.2s)

sample117.0ms

Algorithm
intervals
Results
37.0ms230×body80valid
34.0ms43×body1280valid
23.0ms43×body640valid
9.0ms28×body320valid
2.0ms7×body160valid

simplify4.0ms

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

rewrite13.0ms

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
13.0ms
(* (exp re) (sin im))

series63.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
63.0ms
(* (exp re) (sin im))

simplify579.0ms

Counts
13 → 24
Calls
13 calls:
Slowest
310.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
228.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
8.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
5.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
4.0ms
(* (exp re) (sin im))

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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
36.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
14.0ms
(* (sqrt (exp re)) (sin im))
5.0ms
(sqrt (exp re))
5.0ms
(sqrt (exp re))

series213.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(* (sqrt (exp re)) (sin im))
78.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
23.0ms
(sqrt (exp re))
23.0ms
(sqrt (exp re))

simplify1.9s

Counts
55 → 99
Calls
55 calls:
Slowest
385.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
343.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
261.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
213.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
207.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))

prune982.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

2.4b
(fma (fma 1/2 (* re re) re) im im)
0.0b
(fma 1/2 (* re re) re)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
Slowest
0.0ms
(fma (fma 1/2 (* re re) re) im im)
0.0ms
(fma 1/2 (* re re) re)

series117.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
70.0ms
(fma 1/2 (* re re) re)
47.0ms
(fma (fma 1/2 (* re re) re) im im)

simplify792.0ms

Counts
6 → 28
Calls
6 calls:
Slowest
247.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
232.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
213.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
37.0ms
(+ re (* 1/2 (pow re 2)))
32.0ms
(+ re (* 1/2 (pow re 2)))

prune191.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes219.0ms

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
1.3s1459×body1280valid
1.2s7012×body80valid
718.0ms1252×body640valid
195.0ms601×body320valid
139.0ms299×body160valid