Details

sample94.0ms

Algorithm

intervals

Results

42.0ms	101×	body	1280	valid
14.0ms	65×	body	640	valid
13.0ms	271×	body	80	valid
6.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	105	12
4	171	12
5	209	12
6	319	12
7	357	12
8	625	12
9	1054	12
10	1345	12
11	1381	12
12	1435	12
done	1435	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
114.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- 0.0 im)) (exp im))
75.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.9s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	93	600
1	263	582
2	1038	490
3	4500	487
done	5000	487

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp im))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

58.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))
63.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
40.0ms	(* (* 0.5 (sin re)) (exp im))
50.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1286	646
done	5000	637

prune150.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (exp im))
0.0b	(+ (* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))
0.0b	(* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im))))

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube`
21×	`add-exp-log`
19×	`associate-r`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sqrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`exp-diff` `sqrt-div`
4×	`associate-*r/` `exp-sum`
3×	`associate-l` `*-commutative`
2×	`sub-neg`
1×	`+-commutative` `frac-times` `flip3-+` `associate-*l/` `sum-log` `flip-+`

Counts

4 → 82

Calls

4 calls:

25.0ms	(* (* 0.5 (sin re)) (exp im))
234.0ms	(+ (* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))
246.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))
66.0ms	(* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* 0.5 (sin re)) (exp im))
98.0ms	(+ (* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))
52.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))
60.0ms	(* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im))))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	157	1720
1	422	1320
2	1627	1132
done	5000	1047

prune239.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) 3)
0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.3b	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
5.6b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
45×	`exp-prod`
34×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
16×	`add-cbrt-cube`
13×	`add-exp-log`
12×	`pow1` `exp-diff` `exp-sum` `distribute-lft-out--`
8×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up`
7×	`sub-neg` `swap-sqr`
6×	`frac-add` `add-log-exp` `difference-of-squares`
5×	`associate-r/` `associate-r` `associate-l*`
4×	`flip3--` `pow-pow` `prod-exp` `flip--` `cbrt-unprod`
3×	`cbrt-undiv` `frac-times` `unpow-prod-down` `pow-unpow` `times-frac` `cube-prod` `div-exp` `associate-l/` `associate-/r`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`pow2` `cube-mult` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `pow-plus` `diff-log` `unpow3` `pow-exp` `clear-num` `-commutative` `div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

4.0ms	(pow (exp im) 3)
104.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
331.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
17.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp im) 3)
16.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
250.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
47.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify1.9s

Counts

141 → 141

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	263	3221
1	744	2528
2	3429	2170
done	5000	2151

prune469.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	19	24
done	19	24

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3003×	body	1280	valid
521.0ms	2372×	body	640	valid
421.0ms	8503×	body	80	valid
182.0ms	1264×	body	320	valid
64.0ms	606×	body	160	valid