Details

sample267.0ms

Algorithm

intervals

Results

105.0ms	102×	body	1280	valid
69.0ms	101×	body	640	valid
46.0ms	250×	body	80	valid
18.0ms	40×	body	320	valid
4.0ms	13×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `associate-r` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 44

Calls

2 calls:

Slowest

86.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
27.0ms	(+ (exp (- im)) (exp im))

series137.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

96.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
41.0ms	(+ (exp (- im)) (exp im))

simplify1.7s

Counts: 50 → 50

prune528.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (- im)))
0.0b	(cbrt (exp (- im)))
0.0b	(cbrt (exp (- im)))
0.0b	(* (cbrt (exp (- im))) (cbrt (exp (- im))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`neg-sub0` `exp-neg` `exp-diff` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

Slowest

23.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))
4.0ms	(cbrt (exp (- im)))
3.0ms	(cbrt (exp (- im)))
3.0ms	(cbrt (exp (- im)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(cbrt (exp (- im)))
114.0ms	(cbrt (exp (- im)))
113.0ms	(cbrt (exp (- im)))
106.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))

simplify5.8s

Counts: 111 → 111

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

80.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
26.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
25.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
20.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

372.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
250.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
237.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
225.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

simplify1.7s

Counts: 96 → 96

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.0s	3001×	body	1280	valid
2.4s	2483×	body	640	valid
1.2s	8410×	body	80	valid
642.0ms	1273×	body	320	valid
190.0ms	589×	body	160	valid