Details

sample61.0ms

Algorithm

intervals

Results

25.0ms	377×	body	80	valid
8.0ms	143×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2347
5	652
4	213
3	94
2	50
1	24
0	12

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

10.0ms	(* a (pow k m))
5.0ms	(+ 1.0 (* 10.0 k))
44.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
38.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* a (pow k m))
68.0ms	(+ 1.0 (* 10.0 k))
32.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
176.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1704
1	481
0	177

prune711.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.6b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(cbrt k)
0.5b	(* (cbrt k) (cbrt k))
2.7b	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-exp-log`
31×	`prod-exp`
24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `div-exp` `add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`pow1` `pow-exp`
8×	`pow-to-exp` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-/r*` `times-frac`
2×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
9.0ms	(* (cbrt k) (cbrt k))
75.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series1.5s

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt k)
283.0ms	(cbrt k)
303.0ms	(* (cbrt k) (cbrt k))
610.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify2.1s

Counts

120 → 120

Iterations

Iter	Nodes
done	5002
2	2173
1	565
0	203

prune794.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.6b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(* (cbrt k) (cbrt k))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`cbrt-prod`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow1`
7×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `hypot-def`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt k)
17.0ms	(* (cbrt k) (cbrt k))
38.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
26.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt k)
317.0ms	(* (cbrt k) (cbrt k))
57.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
67.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5016
3	2724
2	792
1	276
0	120

prune803.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.6b

localize97.0ms

Local error

Found 4 expressions with local error:

2.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
6.2b	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
6.2b	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
6.2b	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`add-exp-log`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`add-cbrt-cube`
8×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `associate-/r*` `pow1/3` `prod-exp`
2×	`cbrt-undiv`
1×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `cbrt-unprod` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

37.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
23.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
24.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
23.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

series1.2s

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
364.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
357.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
349.0ms	(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1784
1	491
0	185

prune881.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 2.6b

regimes781.0ms

Accuracy

0% (0.0b remaining)

Error of 2.3b against oracle of 2.3b and baseline of 2.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	11827×	body	80	valid
367.0ms	4186×	body	80	nan