Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (3.8s)

Iter	Nodes	Cost
0	10	25
1	32	25
2	168	23
3	894	19
4	3353	15
done	5000	15

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 2.0) (/ 1.0 (* i i)))
0.6b	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
0.7b	(/ 1.0 (* i i))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
17×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
10×	`times-frac` `prod-exp`
9×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`div-exp`
7×	`prod-diff`
6×	`associate-/l*`
5×	`cbrt-undiv` `add-log-exp`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `rec-exp` `pow-flip` `1-exp` `pow-prod-down` `log1p-expm1-u` `div-inv`
2×	`flip3--` `frac-2neg` `associate-l/` `clear-num` `associate-/r` `associate-/r/` `flip--` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `inv-pow`

Counts

3 → 84

Calls

3 calls:

23.0ms	(- (* 2.0 2.0) (/ 1.0 (* i i)))
85.0ms	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
14.0ms	(/ 1.0 (* i i))

series221.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* 2.0 2.0) (/ 1.0 (* i i)))
74.0ms	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
55.0ms	(/ 1.0 (* i i))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	189	1478
1	450	1301
2	1356	1104
done	5000	1051

prune221.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 2.0 (- (/ 1.0 (* i i))))
0.4b	(/ 1 (fma 2.0 2.0 (- (/ 1.0 (* i i)))))
0.7b	(/ 1.0 (* i i))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `times-frac`
10×	`add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `div-exp` `associate-/r*`
3×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`rec-exp` `pow-flip` `1-exp` `prod-exp` `cbrt-unprod` `fma-udef` `inv-pow`

Counts

3 → 66

Calls

3 calls:

1.0ms	(fma 2.0 2.0 (- (/ 1.0 (* i i))))
12.0ms	(/ 1 (fma 2.0 2.0 (- (/ 1.0 (* i i)))))
9.0ms	(/ 1.0 (* i i))

series202.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(fma 2.0 2.0 (- (/ 1.0 (* i i))))
77.0ms	(/ 1 (fma 2.0 2.0 (- (/ 1.0 (* i i)))))
33.0ms	(/ 1.0 (* i i))

simplify2.3s

Counts

75 → 75

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	122	963
1	233	897
2	522	807
3	1489	807
done	5000	806

prune215.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (fma 2.0 2.0 (- (log (exp (/ 1.0 (* i i)))))))
0.0b	(exp (/ 1.0 (* i i)))
0.7b	(/ 1.0 (* i i))
2.2b	(log (exp (/ 1.0 (* i i))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`exp-prod`
13×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`log-pow`
6×	`pow1` `associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`cbrt-undiv` `log-prod`
2×	`frac-2neg` `clear-num`
1×	`rec-exp` `pow-flip` `1-exp` `rem-log-exp` `prod-exp` `cbrt-unprod` `rem-exp-log` `inv-pow`

Counts

4 → 94

Calls

4 calls:

12.0ms	(/ 1 (fma 2.0 2.0 (- (log (exp (/ 1.0 (* i i)))))))
17.0ms	(exp (/ 1.0 (* i i)))
10.0ms	(/ 1.0 (* i i))
10.0ms	(log (exp (/ 1.0 (* i i))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ 1 (fma 2.0 2.0 (- (log (exp (/ 1.0 (* i i)))))))
55.0ms	(exp (/ 1.0 (* i i)))
34.0ms	(/ 1.0 (* i i))
58.0ms	(log (exp (/ 1.0 (* i i))))

simplify2.3s

Counts

106 → 106

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	157	1285
1	282	1078
2	601	981
3	1614	981
done	5000	980

prune293.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 16.0 (pow i 6))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

13.0ms

(* 16.0 (pow i 6))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(* 16.0 (pow i 6))

simplify1.6s

Counts

30 → 30

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	52	233
1	102	210
2	243	198
3	907	193
done	5001	192

prune106.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch70.0ms

Steps

Iters	Range		Point
7	0.0006187959091979225	0.04942401574813407	0.03786223385988405

simplify12.0ms

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	28	45
1	35	45
2	39	45
3	42	45
4	45	44
done	45	44

end0.0ms

sample1.4s

Algorithm

intervals

Results

674.0ms	8000×	body	80	valid
553.0ms	8000×	pre	80	true