Details

sample190.0ms

Algorithm

intervals

Results

95.0ms	85×	body	1280	valid
32.0ms	78×	body	640	valid
24.0ms	299×	body	80	valid
10.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4343
4	489
3	108
2	59
1	23
0	10

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (exp im) (exp (- im)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

10.0ms

(+ (exp im) (exp (- im)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (exp im) (exp (- im)))

simplify2.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	4443
2	538
1	115
0	41

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* im -3)) (pow (exp im) 3))
0.0b	(exp (* im -3))
0.0b	(pow (exp im) 3)
0.2b	(/ (+ (exp (* im -3)) (pow (exp im) 3)) (fma (exp im) (exp im) (expm1 (* im -2))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `exp-prod` `pow-pow` `log1p-expm1-u` `associate-/l*`
3×	`pow-unpow` `associate-/r*` `unpow-prod-down` `fma-def` `cube-prod`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `exp-to-pow` `unpow3` `div-exp` `pow-exp` `div-inv` `rem-cube-cbrt` `sqr-pow` `rem-exp-log`

Counts

4 → 92

Calls

4 calls:

13.0ms	(+ (exp (* im -3)) (pow (exp im) 3))
3.0ms	(exp (* im -3))
3.0ms	(pow (exp im) 3)
41.0ms	(/ (+ (exp (* im -3)) (pow (exp im) 3)) (fma (exp im) (exp im) (expm1 (* im -2))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (exp (* im -3)) (pow (exp im) 3))
7.0ms	(exp (* im -3))
27.0ms	(pow (exp im) 3)
127.0ms	(/ (+ (exp (* im -3)) (pow (exp im) 3)) (fma (exp im) (exp im) (expm1 (* im -2))))

simplify1.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1482
1	370
0	147

prune726.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.0s	3047×	body	1280	valid
1.4s	8525×	body	80	valid
1.1s	2618×	body	640	valid
258.0ms	1221×	body	320	valid
134.0ms	638×	body	160	valid