Details

sample80.0ms

Algorithm

intervals

Results

39.0ms	383×	body	80	valid
8.0ms	142×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	53	13
3	108	12
4	270	12
5	1442	12
done	5001	12

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.9b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
16×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-r`
6×	`fma-def` `prod-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `div-exp` `sum-log` `log1p-expm1-u`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 88

Calls

4 calls:

6.0ms	(+ 1.0 (* 10.0 k))
17.0ms	(* a (pow k m))
35.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
41.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ 1.0 (* 10.0 k))
80.0ms	(* a (pow k m))
24.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
187.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.8s

Counts

100 → 100

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	179	1340
1	499	1186
2	2549	990
done	5000	977

prune570.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k (+ 10.0 k) 1.0)
0.0b	(* a (pow k m))
0.1b	(/ 1 (/ (fma k (+ 10.0 k) 1.0) (* a (pow k m))))
1.9b	(/ (fma k (+ 10.0 k) 1.0) (* a (pow k m)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

0.0ms	(fma k (+ 10.0 k) 1.0)
13.0ms	(* a (pow k m))
26.0ms	(/ 1 (/ (fma k (+ 10.0 k) 1.0) (* a (pow k m))))
10.0ms	(/ (fma k (+ 10.0 k) 1.0) (* a (pow k m)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(fma k (+ 10.0 k) 1.0)
95.0ms	(* a (pow k m))
162.0ms	(/ 1 (/ (fma k (+ 10.0 k) 1.0) (* a (pow k m))))
130.0ms	(/ (fma k (+ 10.0 k) 1.0) (* a (pow k m)))

simplify1.6s

Counts

138 → 138

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	237	2372
1	603	2167
2	2787	1982
done	5000	1959

prune744.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k (+ 10.0 k) 1.0)
0.0b	(* a (pow k m))
0.1b	(/ 1 (fma k (+ 10.0 k) 1.0))
1.8b	(* (/ 1 (fma k (+ 10.0 k) 1.0)) (* a (pow k m)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
31×	`prod-exp`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
16×	`associate-l`
10×	`div-exp`
8×	`associate-r`
7×	`pow1` `cbrt-unprod`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `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)
25.0ms	(* a (pow k m))
11.0ms	(/ 1 (fma k (+ 10.0 k) 1.0))
51.0ms	(* (/ 1 (fma k (+ 10.0 k) 1.0)) (* a (pow k m)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma k (+ 10.0 k) 1.0)
108.0ms	(* a (pow k m))
47.0ms	(/ 1 (fma k (+ 10.0 k) 1.0))
174.0ms	(* (/ 1 (fma k (+ 10.0 k) 1.0)) (* a (pow k m)))

simplify2.4s

Counts

128 → 128

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	201	1821
1	522	1685
2	2876	1427
done	5002	1417

prune716.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* a (pow k m)))
0.0b	(* a (pow k m))
0.1b	(/ 1 (fma k (+ 10.0 k) 1.0))
1.9b	(/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 (* a (pow k m))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
192×	`add-exp-log`
120×	`div-exp`
106×	`add-sqr-sqrt`
101×	`add-cube-cbrt` `*-un-lft-identity`
48×	`prod-exp`
34×	`rec-exp` `1-exp` `add-cbrt-cube`
25×	`div-inv`
19×	`associate-/l*`
16×	`cbrt-undiv` `pow-to-exp` `pow-exp`
11×	`associate-/r*`
7×	`associate-r`
6×	`pow1`
4×	`expm1-log1p-u` `unpow-prod-down` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`pow-flip` `inv-pow` `sqr-pow`
1×	`associate-/r/` `*-commutative` `associate-/l/`

Counts

4 → 278

Calls

4 calls:

32.0ms	(/ 1 (* a (pow k m)))
25.0ms	(* a (pow k m))
10.0ms	(/ 1 (fma k (+ 10.0 k) 1.0))
49.0ms	(/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 (* a (pow k m))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ 1 (* a (pow k m)))
89.0ms	(* a (pow k m))
43.0ms	(/ 1 (fma k (+ 10.0 k) 1.0))
151.0ms	(/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 (* a (pow k m))))

simplify888.0ms

Counts

290 → 290

Iterations

Useful iterations: done (879.0ms)

Iter	Nodes	Cost
0	408	6176
1	1271	5453
done	5000	4847

prune949.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

89.7% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 2.1b

bsearch250.0ms

Steps

Iters	Range		Point
9	4.770114018954106e-27	4.0826666983281967e-19	1.1963652514745433e-19
9	-0.001242952878385433	-5.809460358452387e-11	-5.618880184104183e-06

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	76
1	37	61
done	37	61

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	11883×	body	80	valid
467.0ms	4232×	body	80	nan