Details

sample92.0ms

Algorithm

intervals

Results

30.0ms	43×	body	1280	valid
17.0ms	208×	body	80	valid
15.0ms	37×	body	640	valid
4.0ms	17×	body	320	valid
2.0ms	15×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

23.0ms

(* (exp re) (sin im))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(* (exp re) (sin im))

simplify2.3s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
3	2667
2	381
1	97
0	42

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

2.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
16.0ms	(* (sqrt (exp re)) (sin im))
77.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp re))
22.0ms	(sqrt (exp re))
77.0ms	(* (sqrt (exp re)) (sin im))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	794
1	193
0	87

prune432.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

33×	`sqrt-prod`
24×	`add-sqr-sqrt`
20×	`sqrt-pow1`
16×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow1` `associate-l`
11×	`add-cbrt-cube` `add-exp-log`
6×	`exp-prod`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

22.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(sqrt (sqrt (exp re)))
6.0ms	(sqrt (sqrt (exp re)))
50.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sqrt (exp re)) (sin im))
100.0ms	(sqrt (sqrt (exp re)))
84.0ms	(sqrt (sqrt (exp re)))
114.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	915
1	247
0	114

prune743.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`cbrt-prod`
43×	`pow1`
38×	`add-exp-log`
33×	`sqrt-prod`
28×	`associate-l`
24×	`pow-prod-down`
23×	`*-un-lft-identity` `add-cbrt-cube` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
14×	`associate-r`
12×	`unswap-sqr`
11×	`swap-sqr`
6×	`pow1/3`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 145

Calls

4 calls:

90.0ms	(* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (sin im)))
199.0ms	(* (sqrt (sqrt (exp re))) (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (sin im))))
31.0ms	(* (cbrt (sqrt (exp re))) (sin im))
27.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (sin im)))
142.0ms	(* (sqrt (sqrt (exp re))) (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (sin im))))
80.0ms	(* (cbrt (sqrt (exp re))) (sin im))
118.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

simplify2.1s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	2335
1	427
0	174

prune847.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	6951×	body	80	valid
842.0ms	1496×	body	1280	valid
532.0ms	1311×	body	640	valid
136.0ms	599×	body	320	valid
49.0ms	349×	body	160	valid