Details

sample70.0ms

Algorithm

intervals

Results

31.0ms	369×	body	80	valid
8.0ms	130×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	53	13
3	107	12
4	254	12
5	735	12
6	2729	12
done	5001	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma k (+ 10.0 k) 1.0)
0.0b	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
4.6b	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
101×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`unpow-prod-down`
32×	`associate-/r*`
18×	`add-exp-log`
16×	`sqr-pow`
10×	`div-exp` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num`
1×	`associate-/r/` `fma-udef`

Counts

3 → 179

Calls

3 calls:

1.0ms	(fma k (+ 10.0 k) 1.0)
14.0ms	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
28.0ms	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(fma k (+ 10.0 k) 1.0)
93.0ms	(/ (fma k (+ 10.0 k) 1.0) (pow k m))
148.0ms	(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

simplify2.2s

Counts

188 → 188

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	337	4223
1	724	4006
2	2408	3857
done	5001	3812

prune848.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k (+ 10.0 k) 1.0)
0.1b	(/ 1 (fma k (+ 10.0 k) 1.0))
0.2b	(* (pow k m) a)
4.5b	(* (/ 1 (fma k (+ 10.0 k) 1.0)) (* (pow k m) a))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
31×	`prod-exp`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-l` `add-cbrt-cube`
18×	`times-frac`
10×	`div-exp`
7×	`pow1` `cbrt-unprod`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr`
2×	`*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-*l/` `clear-num` `fma-udef` `inv-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(fma k (+ 10.0 k) 1.0)
11.0ms	(/ 1 (fma k (+ 10.0 k) 1.0))
24.0ms	(* (pow k m) a)
63.0ms	(* (/ 1 (fma k (+ 10.0 k) 1.0)) (* (pow k m) a))

series428.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma k (+ 10.0 k) 1.0)
52.0ms	(/ 1 (fma k (+ 10.0 k) 1.0))
154.0ms	(* (pow k m) a)
186.0ms	(* (/ 1 (fma k (+ 10.0 k) 1.0)) (* (pow k m) a))

simplify1.7s

Counts

128 → 128

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	198	1820
1	467	1605
2	1435	1412
done	5001	1376

prune398.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
17.4b	(sqrt (fma k (+ 10.0 k) 1.0))
17.4b	(sqrt (fma k (+ 10.0 k) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
3.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
3.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

series718.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt k)
263.0ms	(cbrt k)
97.0ms	(sqrt (fma k (+ 10.0 k) 1.0))
84.0ms	(sqrt (fma k (+ 10.0 k) 1.0))

simplify2.1s

Counts

68 → 68

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	68	532
1	132	482
2	306	450
3	736	432
4	1995	430
done	5001	424

prune528.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (/ 1 (* (* (cbrt (fma k (+ 10.0 k) 1.0)) (cbrt (fma k (+ 10.0 k) 1.0))) (cbrt (fma k (+ 10.0 k) 1.0)))) (* (pow k m) a))
17.8b	(cbrt (fma k (+ 10.0 k) 1.0))
17.8b	(cbrt (fma k (+ 10.0 k) 1.0))
17.8b	(cbrt (fma k (+ 10.0 k) 1.0))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

152×	`add-exp-log`
106×	`prod-exp`
28×	`add-cbrt-cube`
24×	`div-exp`
18×	`cbrt-unprod`
12×	`rec-exp` `1-exp`
10×	`pow-to-exp` `pow-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3`
1×	`associate-r` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

291.0ms	(* (/ 1 (* (* (cbrt (fma k (+ 10.0 k) 1.0)) (cbrt (fma k (+ 10.0 k) 1.0))) (cbrt (fma k (+ 10.0 k) 1.0)))) (* (pow k m) a))
1.0ms	(cbrt (fma k (+ 10.0 k) 1.0))
1.0ms	(cbrt (fma k (+ 10.0 k) 1.0))
1.0ms	(cbrt (fma k (+ 10.0 k) 1.0))

series628.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (/ 1 (* (* (cbrt (fma k (+ 10.0 k) 1.0)) (cbrt (fma k (+ 10.0 k) 1.0))) (cbrt (fma k (+ 10.0 k) 1.0)))) (* (pow k m) a))
178.0ms	(cbrt (fma k (+ 10.0 k) 1.0))
171.0ms	(cbrt (fma k (+ 10.0 k) 1.0))
149.0ms	(cbrt (fma k (+ 10.0 k) 1.0))

simplify2.6s

Counts

119 → 119

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	205	3435
1	513	3001
2	1779	1810
done	5000	1560

prune383.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

97% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.1b

bsearch35.0ms

Steps

Iters	Range		Point
4	9.68880584692305e+138	1.4961070689597945e+139	1.0976490709434325e+139

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	50
1	38	50
done	38	50

end0.0ms

sample1.7s

Algorithm

intervals

Results

720.0ms	11967×	body	80	valid
225.0ms	4304×	body	80	nan