Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	381×	body	80	valid
11.0ms	111×	body	80	nan

simplify123.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* a (pow k m))
2.1b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `unpow-prod-down` `div-exp` `sum-log`
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 → 74

Calls

4 calls:

12.0ms	(+ 1.0 (* 10.0 k))
47.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
14.0ms	(* a (pow k m))
64.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ 1.0 (* 10.0 k))
20.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
114.0ms	(* a (pow k m))
171.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify67.0ms

Counts: 86 → 86

prune345.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
2.1b	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
30×	`prod-exp`
16×	`div-exp`
13×	`add-cbrt-cube`
11×	`pow-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow-to-exp`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `associate-/r*` `cbrt-unprod`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
80.0ms	(/ (* (* 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:

261.0ms	(cbrt k)
316.0ms	(cbrt k)
313.0ms	(cbrt k)
569.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify63.0ms

Counts: 83 → 83

prune411.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
0.0b	(* a (pow k (/ m 2)))
2.1b	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
45×	`prod-exp`
20×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`pow-to-exp` `pow-exp`
14×	`associate-r`
13×	`div-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
7×	`unpow-prod-down` `cbrt-unprod`
4×	`pow1` `associate-l`
3×	`cbrt-undiv` `times-frac` `associate-/r*` `sum-log` `unswap-sqr` `sqr-pow`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+l+` `frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 103

Calls

4 calls:

25.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
45.0ms	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
14.0ms	(* a (pow k (/ m 2)))
79.0ms	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
117.0ms	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
85.0ms	(* a (pow k (/ m 2)))
249.0ms	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify67.0ms

Counts: 115 → 115

prune469.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k (* 2 (/ m 2))))
0.0b	(pow (* a (pow k (* 2 (/ m 2)))) 3)
2.1b	(/ (cbrt (pow (* a (pow k (* 2 (/ m 2)))) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
15.4b	(cbrt (pow (* a (pow k (* 2 (/ m 2)))) 3))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
34×	`add-sqr-sqrt`
33×	`times-frac`
29×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
11×	`associate-/l*`
10×	`unpow-prod-down` `add-cbrt-cube`
8×	`sqr-pow`
7×	`associate-r`
6×	`cube-mult` `unpow3` `cube-prod` `pow-exp` `prod-exp`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-unpow` `associate-l` `associate-/r*` `unswap-sqr`
2×	`associate-/r/` `cbrt-unprod` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `div-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `flip-+` `div-inv`

Counts

4 → 126

Calls

4 calls:

33.0ms	(* a (pow k (* 2 (/ m 2))))
16.0ms	(pow (* a (pow k (* 2 (/ m 2)))) 3)
47.0ms	(/ (cbrt (pow (* a (pow k (* 2 (/ m 2)))) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
5.0ms	(cbrt (pow (* a (pow k (* 2 (/ m 2)))) 3))

series537.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* a (pow k (* 2 (/ m 2))))
139.0ms	(pow (* a (pow k (* 2 (/ m 2)))) 3)
186.0ms	(/ (cbrt (pow (* a (pow k (* 2 (/ m 2)))) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
133.0ms	(cbrt (pow (* a (pow k (* 2 (/ m 2)))) 3))

simplify67.0ms

Counts: 138 → 138

prune696.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

98.6% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.3b

bsearch95.0ms

Steps

Iters	Range		Point
7	2.3568880196050932e+137	3.236469685930235e+139	3.986829033134308e+138

simplify86.0ms

end1.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	11757×	body	80	valid
379.0ms	4170×	body	80	nan