Details

sample191.0ms

Algorithm

intervals

Results

99.0ms	105×	body	1280	valid
31.0ms	85×	body	640	valid
25.0ms	255×	body	80	valid
11.0ms	47×	body	320	valid
3.0ms	19×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	59	11
3	103	11
4	137	11
5	179	11
6	258	11
7	397	11
8	435	11
9	471	11
10	527	11
done	527	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

86.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

series113.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
29.0ms	(+ (exp (- im)) (exp im))

simplify4.1s

Counts

48 → 48

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	91	586
1	253	566
2	1033	476
3	4409	471
done	5000	471

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

35.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))
8.0ms	(cbrt (exp (- im)))
8.0ms	(cbrt (exp (- im)))
8.0ms	(cbrt (exp (- im)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (exp (- im))) (cbrt (exp (- im))))
87.0ms	(cbrt (exp (- im)))
93.0ms	(cbrt (exp (- im)))
123.0ms	(cbrt (exp (- im)))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	84	986
1	143	863
2	323	801
3	673	732
4	1568	682
done	5001	654

prune402.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (cbrt (exp (* im -2))) (cbrt (exp (- im))) (exp im))
0.0b	(* (* 0.5 (cos re)) (fma (cbrt (exp (* im -2))) (cbrt (exp (- im))) (exp im)))
0.0b	(cbrt (exp (* im -2)))
0.0b	(cbrt (exp (- im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`cbrt-div` `pow1/3`
1×	`neg-sub0` `distribute-rgt-in` `exp-neg` `distribute-lft-in` `exp-diff` `associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

0.0ms	(fma (cbrt (exp (* im -2))) (cbrt (exp (- im))) (exp im))
23.0ms	(* (* 0.5 (cos re)) (fma (cbrt (exp (* im -2))) (cbrt (exp (- im))) (exp im)))
8.0ms	(cbrt (exp (* im -2)))
5.0ms	(cbrt (exp (- im)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(fma (cbrt (exp (* im -2))) (cbrt (exp (- im))) (exp im))
167.0ms	(* (* 0.5 (cos re)) (fma (cbrt (exp (* im -2))) (cbrt (exp (- im))) (exp im)))
125.0ms	(cbrt (exp (* im -2)))
109.0ms	(cbrt (exp (- im)))

simplify2.6s

Counts

72 → 72

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	123	1007
1	255	989
2	779	828
3	2841	813
done	5000	803

prune269.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	2944×	body	1280	valid
1.4s	2371×	body	640	valid
957.0ms	8555×	body	80	valid
356.0ms	1311×	body	320	valid
133.0ms	600×	body	160	valid