Details

sample64.0ms

Algorithm

intervals

Results

18.0ms	35×	body	1280	valid
17.0ms	233×	body	80	valid
15.0ms	47×	body	640	valid
4.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

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

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Calls

1 calls:

Slowest

25.0ms

(* (exp re) (sin im))

series49.0ms

Calls

1 calls:

Slowest

49.0ms

(* (exp re) (sin im))

simplify532.0ms

Calls

13 calls:

Slowest

307.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
165.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
10.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
10.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

prune254.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

2.5b	(log (exp (* (exp re) (sin im))))
0.0b	(exp (* (exp re) (sin im)))
0.0b	(* (exp re) (sin im))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log`
3×	`log-prod` `associate-r` `associate-l` `log-pow` `insert-posit16`
2×	`exp-prod` `exp-to-pow`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Calls

3 calls:

Slowest

23.0ms	(* (exp re) (sin im))
14.0ms	(exp (* (exp re) (sin im)))
8.0ms	(log (exp (* (exp re) (sin im))))

series162.0ms

Calls

3 calls:

Slowest

60.0ms	(* (exp re) (sin im))
52.0ms	(exp (* (exp re) (sin im)))
49.0ms	(log (exp (* (exp re) (sin im))))

simplify1.0s

Calls

28 calls:

Slowest

334.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
150.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
140.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
101.0ms	(log (* (cbrt (exp (* (exp re) (sin im)))) (cbrt (exp (* (exp re) (sin im))))))
94.0ms	(log (sqrt (exp (* (exp re) (sin im)))))

prune630.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

3.6b	(* im (+ (* (* re re) 1/2) re))
0.0b	(+ (* (* re re) 1/2) re)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Calls

2 calls:

Slowest

92.0ms	(* im (+ (* (* re re) 1/2) re))
26.0ms	(+ (* (* re re) 1/2) re)

series166.0ms

Calls

2 calls:

Slowest

100.0ms	(* im (+ (* (* re re) 1/2) re))
66.0ms	(+ (* (* re re) 1/2) re)

simplify2.0s

Calls

21 calls:

Slowest

404.0ms	(+ (* (* (* re re) 1/2) (* (* re re) 1/2)) (- (* re re) (* (* (* re re) 1/2) re)))
310.0ms	(* (exp (* (* re re) 1/2)) (exp re))
290.0ms	(* (* (* im im) im) (* (* (+ (* (* re re) 1/2) re) (+ (* (* re re) 1/2) re)) (+ (* (* re re) 1/2) re)))
124.0ms	(+ (* 1/2 (* (pow re 2) im)) (* re im))
119.0ms	(+ (* 1/2 (* (pow re 2) im)) (* re im))

prune306.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	1474×	body	1280	valid
1.1s	1234×	body	640	valid
835.0ms	7044×	body	80	valid
318.0ms	603×	body	320	valid
103.0ms	316×	body	160	valid