Details

sample129.0ms

Algorithm

intervals

Results

68.0ms	141×	body	1280	valid
27.0ms	107×	body	640	valid
8.0ms	52×	body	320	valid
6.0ms	121×	body	80	valid
3.0ms	31×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	79	11
4	119	11
5	324	11
6	542	11
7	786	11
8	1998	11
done	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.4b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

35.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
11.0ms	(- (exp (- im)) (exp im))

series160.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
42.0ms	(- (exp (- im)) (exp im))

simplify4.4s

Counts

46 → 46

Iterations

Useful iterations: 3 (516.0ms)

Iter	Nodes	Cost
0	93	614
1	245	596
2	947	504
3	4772	502
done	5000	502

prune117.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-l`
13×	`associate-r` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`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	(- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im)))
6.0ms	(* 1/60 (pow im 5))
28.0ms	(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(* (pow im 3) -1/3)

series337.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im)))
50.0ms	(* 1/60 (pow im 5))
184.0ms	(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))
43.0ms	(* (pow im 3) -1/3)

simplify811.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	177	1581
1	466	1480
2	1980	1311
done	5000	1311

prune307.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

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)

rewrite5.0ms

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)

series827.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(pow (cbrt im) 5)
178.0ms	(cbrt im)
195.0ms	(cbrt im)
174.0ms	(cbrt im)

simplify825.0ms

Counts

66 → 66

Iterations

Useful iterations: 3 (190.0ms)

Iter	Nodes	Cost
0	58	374
1	128	340
2	360	315
3	1158	303
done	5000	303

prune325.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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)

rewrite17.0ms

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))
5.0ms	(pow (* (cbrt (cbrt im)) (cbrt (cbrt im))) 5)
3.0ms	(pow (cbrt (cbrt im)) 5)

series1.3s

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt (cbrt im))
261.0ms	(cbrt (cbrt im))
399.0ms	(pow (* (cbrt (cbrt im)) (cbrt (cbrt im))) 5)
355.0ms	(pow (cbrt (cbrt im)) 5)

simplify2.1s

Counts

88 → 88

Iterations

Useful iterations: 3 (488.0ms)

Iter	Nodes	Cost
0	103	717
1	219	637
2	680	564
3	2092	558
done	5000	558

prune491.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

regimes257.0ms

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

sample4.3s

Algorithm

intervals

Results

2.1s	4739×	body	1280	valid
966.0ms	3831×	body	640	valid
509.0ms	1844×	body	320	valid
231.0ms	4502×	body	80	valid
98.0ms	942×	body	160	valid