Details

sample64.0ms

Algorithm

intervals

Results

17.0ms	25×	body	320	valid
14.0ms	38×	body	1280	valid
12.0ms	247×	body	80	valid
7.0ms	31×	body	640	valid
2.0ms	8×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

15.0ms

(* (exp re) (sin im))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* (exp re) (sin im))

simplify2.9s

Counts

21 → 21

Iterations

Useful iterations: 3 (398.0ms)

Iter	Nodes	Cost
0	40	161
1	93	158
2	386	138
3	2737	136
done	5002	136

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

18.0ms	(* (sqrt (exp re)) (sin im))
51.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

series143.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (sqrt (exp re)) (sin im))
44.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
15.0ms	(sqrt (exp re))
17.0ms	(sqrt (exp re))

simplify672.0ms

Counts

87 → 87

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	81	731
1	181	676
2	725	544
done	5000	517

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-prod`
16×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `sqrt-pow1`
9×	`add-exp-log` `exp-prod` `associate-l` `add-cbrt-cube`
4×	`add-log-exp`
3×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 72

Calls

4 calls:

72.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im)))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

series137.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im)))
15.0ms	(sqrt (exp re))
19.0ms	(sqrt (exp re))
19.0ms	(sqrt (exp re))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	71	697
1	152	526
2	444	473
3	1251	465
4	3270	465
done	5001	465

prune319.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (pow (exp 1) (/ re 2))) (sin im)))
0.1b	(pow (exp 1) (/ re 2))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`sqrt-prod`
13×	`pow-unpow`
12×	`pow1`
9×	`add-exp-log` `exp-prod` `times-frac` `associate-l` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`pow-pow` `add-log-exp`
3×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow-to-exp` `associate-r` `pow-exp` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 86

Calls

4 calls:

77.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (pow (exp 1) (/ re 2))) (sin im)))
9.0ms	(pow (exp 1) (/ re 2))
4.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))

series521.0ms

Counts

4 → 12

Calls

4 calls:

470.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (pow (exp 1) (/ re 2))) (sin im)))
15.0ms	(pow (exp 1) (/ re 2))
17.0ms	(sqrt (exp re))
19.0ms	(sqrt (exp re))

simplify890.0ms

Counts

98 → 98

Iterations

Useful iterations: done (886.0ms)

Iter	Nodes	Cost
0	136	998
1	348	829
2	1219	775
done	5000	763

prune433.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
done	9	10

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	1478×	body	1280	valid
557.0ms	6918×	body	80	valid
458.0ms	1327×	body	640	valid
109.0ms	607×	body	320	valid
40.0ms	337×	body	160	valid