Details

sample109.0ms

Algorithm

intervals

Results

47.0ms	58×	body	1280	valid
25.0ms	231×	body	80	valid
19.0ms	35×	body	640	valid
4.0ms	12×	body	320	valid
2.0ms	7×	body	160	valid

simplify8.0ms

Calls

1 calls:

Slowest

7.0ms

(* (exp re) (cos im))

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-exp-log`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`prod-exp`
1×	`expm1-log1p-u` `pow-prod-down` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Calls

1 calls:

Slowest

12.0ms

(* (exp re) (cos im))

series37.0ms

Calls

1 calls:

Slowest

37.0ms

(* (exp re) (cos im))

simplify452.0ms

Calls

14 calls:

Slowest

311.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
91.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
9.0ms	(* (cos im) (exp re))
7.0ms	(* (cos im) (exp re))
5.0ms	(* (sqrt (exp re)) (sqrt (cos im)))

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.2b	(* (cbrt (cos im)) (cbrt (cos im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Calls

4 calls:

Slowest

21.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
3.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))

series631.0ms

Calls

4 calls:

Slowest

238.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
137.0ms	(cbrt (cos im))
137.0ms	(cbrt (cos im))
119.0ms	(cbrt (cos im))

simplify1.9s

Calls

68 calls:

Slowest

359.0ms	(cbrt 1)
203.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
198.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
190.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
157.0ms	(* (cos im) (* (* (cbrt (cos im)) (cbrt (cos im))) (cbrt (cos im))))

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
0.3b	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

92×	`cbrt-prod`
40×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`

Calls

4 calls:

Slowest

16.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
16.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))

series573.0ms

Calls

4 calls:

Slowest

157.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
145.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
136.0ms	(cbrt (cos im))
135.0ms	(cbrt (cos im))

simplify1.5s

Calls

72 calls:

Slowest

213.0ms	(- 1 (+ (* 1/9 (pow im 2)) (* 1/81 (pow im 4))))
167.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
166.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
149.0ms	(- 1 (+ (* 1/9 (pow im 2)) (* 1/81 (pow im 4))))
105.0ms	(cbrt (* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im))))))

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

3.3b	(log (cos im))
0.0b	(exp (+ re (log (cos im))))
0.0b	(+ re (log (cos im)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`log-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `associate-+r+`
5×	`exp-prod` `exp-sum`
4×	`sum-log` `add-exp-log` `distribute-lft-out`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
2×	`+-commutative`
1×	`flip3-+` `rem-log-exp` `flip-+`

Calls

3 calls:

Slowest

14.0ms	(exp (+ re (log (cos im))))
12.0ms	(+ re (log (cos im)))
2.0ms	(log (cos im))

series253.0ms

Calls

3 calls:

Slowest

119.0ms	(log (cos im))
82.0ms	(+ re (log (cos im)))
52.0ms	(exp (+ re (log (cos im))))

simplify556.0ms

Calls

35 calls:

Slowest

201.0ms	(- (+ (* 1/2 (pow im 2)) (+ (* 1/12 (pow im 4)) (* 1/45 (pow im 6)))))
79.0ms	(exp (* (cbrt (+ re (log (cos im)))) (cbrt (+ re (log (cos im))))))
61.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
48.0ms	(exp (+ re (log (* (cbrt (cos im)) (cbrt (cos im))))))
35.0ms	(- re (* 1/2 (pow im 2)))

prune650.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.1s	6921×	body	80	valid
1.1s	1563×	body	1280	valid
606.0ms	1230×	body	640	valid
230.0ms	590×	body	320	valid
55.0ms	307×	body	160	valid