Details

sample286.0ms

Algorithm

intervals

Results

171.0ms	159×	body	1280	valid
52.0ms	117×	body	640	valid
15.0ms	52×	body	320	valid
12.0ms	131×	body	80	valid
6.0ms	30×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1589
4	280
3	90
2	39
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (- (exp (- im)) (exp im)) 0.5) (sin re))
6.3b	(- (exp (- im)) (exp im))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-*l/` `add-log-exp`
3×	`fma-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 50

Calls

2 calls:

131.0ms	(* (* (- (exp (- im)) (exp im)) 0.5) (sin re))
39.0ms	(- (exp (- im)) (exp im))

series164.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* (* (- (exp (- im)) (exp im)) 0.5) (sin re))
51.0ms	(- (exp (- im)) (exp im))

simplify1.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1655
1	299
0	121

prune334.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`prod-exp`
5×	`add-log-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `associate-*l/` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `prod-diff` `pow-prod-down` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `fma-neg` `diff-log` `unpow3` `pow-exp` `fma-udef` `associate--r+`

Counts

3 → 74

Calls

3 calls:

15.0ms	(- (* -1/3 (pow im 3)) (fma (pow im 5) 1/60 (* 2 im)))
62.0ms	(* (* (- (* -1/3 (pow im 3)) (fma (pow im 5) 1/60 (* 2 im))) 0.5) (sin re))
16.0ms	(* -1/3 (pow im 3))

series275.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- (* -1/3 (pow im 3)) (fma (pow im 5) 1/60 (* 2 im)))
117.0ms	(* (* (- (* -1/3 (pow im 3)) (fma (pow im 5) 1/60 (* 2 im))) 0.5) (sin re))
76.0ms	(* -1/3 (pow im 3))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1961
1	388
0	158

prune520.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-*l/` `cbrt-unprod` `unswap-sqr`
3×	`pow-prod-down`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `flip3--` `unpow3` `pow-exp` `flip--`

Counts

2 → 55

Calls

2 calls:

52.0ms	(* (* (- (fma (pow im 5) -1/60 (* (pow im 3) -1/3)) (* 2 im)) 0.5) (sin re))
21.0ms	(* (pow im 3) -1/3)

series222.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(* (* (- (fma (pow im 5) -1/60 (* (pow im 3) -1/3)) (* 2 im)) 0.5) (sin re))
78.0ms	(* (pow im 3) -1/3)

simplify934.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	1501
1	305
0	119

prune403.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

22.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
2.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series610.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
144.0ms	(cbrt (sin re))
164.0ms	(cbrt (sin re))
139.0ms	(cbrt (sin re))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	706
1	183
0	79

prune650.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes454.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample9.7s

Algorithm

intervals

Results

4.4s	4756×	body	1280	valid
2.0s	3816×	body	640	valid
1.7s	4486×	body	80	valid
669.0ms	1792×	body	320	valid
242.0ms	965×	body	160	valid