Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	47×	body	1280	valid
8.0ms	235×	body	80	valid
6.0ms	35×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(* (exp re) (sin im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (exp re) (sin im))

simplify2.9s

Counts

21 → 21

Iterations

Useful iterations: 4 (202.0ms)

Iter	Nodes	Cost
0	40	161
1	87	157
2	230	140
3	438	140
4	693	136
5	1434	136
6	4061	136
done	5001	136

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (sin im))
40.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify2.5s

Counts

87 → 87

Iterations

Useful iterations: 4 (596.0ms)

Iter	Nodes	Cost
0	81	731
1	173	586
2	482	530
3	1059	521
4	1561	517
5	3449	517
done	5000	517

prune196.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-exp-log`
19×	`associate-l`
18×	`add-cbrt-cube`
17×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-r`
7×	`pow1/3` `sqrt-prod`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt (exp re))
21.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
67.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (exp re))
86.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
37.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
93.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify2.3s

Counts

109 → 109

Iterations

Useful iterations: 3 (812.0ms)

Iter	Nodes	Cost
0	132	1534
1	302	1253
2	951	1108
3	3989	1068
done	5000	1068

prune311.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
33×	`cbrt-prod`
32×	`pow1`
22×	`add-exp-log`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
16×	`associate-l`
14×	`pow-prod-down`
13×	`pow1/3` `associate-r`
12×	`swap-sqr` `prod-exp` `cbrt-unprod`
8×	`unswap-sqr`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-plus`
1×	`sqrt-prod`

Counts

4 → 114

Calls

4 calls:

176.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (sqrt (cbrt (cbrt (exp re)))) (* (sqrt (exp re)) (sin im)))))
3.0ms	(cbrt (* (cbrt (exp re)) (cbrt (exp re))))
7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (sqrt (cbrt (cbrt (exp re)))) (* (sqrt (exp re)) (sin im)))))
96.0ms	(cbrt (* (cbrt (exp re)) (cbrt (exp re))))
104.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
96.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify449.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	136	2098
1	328	1703
2	1156	1488
done	5001	1488

prune391.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes120.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

443.0ms	1512×	body	1280	valid
257.0ms	6942×	body	80	valid
207.0ms	1235×	body	640	valid
65.0ms	596×	body	320	valid
27.0ms	365×	body	160	valid