Details

sample122.0ms

Algorithm

intervals

Results

66.0ms	141×	body	1280	valid
26.0ms	107×	body	640	valid
8.0ms	52×	body	320	valid
6.0ms	121×	body	80	valid
3.0ms	31×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	75	11
4	112	11
5	263	11
6	397	11
7	565	11
8	1079	11
9	1603	11
10	1639	11
11	1749	11
12	1767	11
done	1767	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.5b	(- (exp (- im)) (exp im))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

28.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
10.0ms	(- (exp (- im)) (exp im))

series115.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms	(- (exp (- im)) (exp im))

simplify1.9s

Counts

46 → 46

Iterations

Useful iterations: 3 (689.0ms)

Iter	Nodes	Cost
0	93	614
1	242	596
2	882	504
3	3523	502
done	5001	502

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.1b	(* -1/3 (pow im 3))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`sub-neg` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `flip--`
1×	`cube-mult` `unpow3` `sum-log` `associate--r+`

Counts

4 → 94

Calls

4 calls:

7.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
26.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

series319.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
47.0ms	(* 1/60 (pow im 5))
175.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
38.0ms	(* -1/3 (pow im 3))

simplify634.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (229.0ms)

Iter	Nodes	Cost
0	178	1587
1	455	1481
2	1558	1304
done	5000	1304

prune304.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (cbrt im) 5)
0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

2.0ms	(pow (cbrt im) 5)
0.0ms	(cbrt im)
0.0ms	(cbrt im)
1.0ms	(cbrt im)

series769.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(pow (cbrt im) 5)
172.0ms	(cbrt im)
174.0ms	(cbrt im)
172.0ms	(cbrt im)

simplify1.0s

Counts

66 → 66

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	58	374
1	126	338
2	286	315
3	711	303
4	2286	303
done	5001	303

prune312.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt im))
0.6b	(cbrt (cbrt im))
1.0b	(pow (* (cbrt (cbrt im)) (cbrt (cbrt im))) 5)
1.1b	(pow (cbrt (cbrt im)) 5)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
13×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow-pow`
10×	`unpow-prod-down`
9×	`pow1/3`
8×	`add-exp-log`
6×	`pow-unpow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-exp`
2×	`pow-to-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `sqr-pow`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt (cbrt im))
1.0ms	(cbrt (cbrt im))
4.0ms	(pow (* (cbrt (cbrt im)) (cbrt (cbrt im))) 5)
3.0ms	(pow (cbrt (cbrt im)) 5)

series1.3s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (cbrt im))
256.0ms	(cbrt (cbrt im))
394.0ms	(pow (* (cbrt (cbrt im)) (cbrt (cbrt im))) 5)
348.0ms	(pow (cbrt (cbrt im)) 5)

simplify1.4s

Counts

88 → 88

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	103	717
1	214	630
2	446	564
3	1087	558
4	3508	558
done	5000	558

prune416.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

regimes286.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	40
1	34	40
done	34	40

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	4739×	body	1280	valid
930.0ms	3831×	body	640	valid
478.0ms	1844×	body	320	valid
218.0ms	4502×	body	80	valid
97.0ms	942×	body	160	valid