Details

sample72.0ms

Algorithm

intervals

Results

40.0ms	404×	body	80	valid
13.0ms	137×	body	80	nan

simplify1.4s

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize39.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(* a (pow k m))
0.0b	(+ 1 (* 10 k))

rewrite117.0ms

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` `insert-posit16` `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 → 92

Calls

4 calls:

Slowest

55.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
35.0ms	(+ (+ 1 (* 10 k)) (* k k))
17.0ms	(* a (pow k m))
9.0ms	(+ 1 (* 10 k))

series292.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
69.0ms	(* a (pow k m))
37.0ms	(+ 1 (* 10 k))
30.0ms	(+ (+ 1 (* 10 k)) (* k k))

simplify681.0ms

Counts: 104 → 104

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.3b

localize35.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* a (pow k m)) (+ 1 (* (+ k 10) k)))
0.0b	(* a (pow k m))
0.0b	(* (+ k 10) k)
0.0b	(+ 1 (* (+ k 10) k))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt`
10×	`associate-r`
7×	`associate-l` `prod-exp`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `div-exp` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`associate-/r*` `fma-def` `flip3-+` `times-frac` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `cbrt-undiv` `associate-l/` `pow-exp` `associate-/r/` `-commutative` `sqr-pow`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

Slowest

22.0ms	(/ (* a (pow k m)) (+ 1 (* (+ k 10) k)))
20.0ms	(* (+ k 10) k)
8.0ms	(* a (pow k m))
8.0ms	(+ 1 (* (+ k 10) k))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(/ (* a (pow k m)) (+ 1 (* (+ k 10) k)))
80.0ms	(* a (pow k m))
61.0ms	(* (+ k 10) k)
20.0ms	(+ 1 (* (+ k 10) k))

simplify3.1s

Counts: 109 → 109

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ 1 (* (+ k 10) k)))
0.0b	(* (+ k 10) k)
0.0b	(* a (pow k (/ m 2)))
0.0b	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
46×	`prod-exp`
22×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
17×	`associate-r`
15×	`pow-to-exp` `*-un-lft-identity` `pow-exp`
13×	`div-exp` `add-cube-cbrt`
8×	`associate-l` `cbrt-unprod`
7×	`unpow-prod-down`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-/r` `times-frac` `-commutative` `sqr-pow`
2×	`flip3-+` `associate-*l/` `associate-/r/` `flip-+`
1×	`clear-num` `frac-2neg` `pow-prod-down` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 123

Calls

4 calls:

Slowest

52.0ms	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ 1 (* (+ k 10) k)))
47.0ms	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
34.0ms	(* (+ k 10) k)
19.0ms	(* a (pow k (/ m 2)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ 1 (* (+ k 10) k)))
91.0ms	(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
91.0ms	(* a (pow k (/ m 2)))
78.0ms	(* (+ k 10) k)

simplify1.0s

Counts: 135 → 135

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ (fma (+ k 10) k 1) a)
0.5b	(/ 1 (/ (/ (fma (+ k 10) k 1) a) (pow k m)))
0.0b	(fma (+ k 10) k 1)
0.0b	(/ (/ (fma (+ k 10) k 1) a) (pow k m))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
496×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
198×	`unpow-prod-down`
105×	`associate-/r*`
68×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
20×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`rec-exp` `1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`associate-/r/` `fma-udef` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 597

Calls

4 calls:

Slowest

21.0ms	(/ 1 (/ (/ (fma (+ k 10) k 1) a) (pow k m)))
18.0ms	(/ (/ (fma (+ k 10) k 1) a) (pow k m))
9.0ms	(/ (fma (+ k 10) k 1) a)
0.0ms	(fma (+ k 10) k 1)

series396.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(/ 1 (/ (/ (fma (+ k 10) k 1) a) (pow k m)))
159.0ms	(/ (/ (fma (+ k 10) k 1) a) (pow k m))
43.0ms	(/ (fma (+ k 10) k 1) a)
29.0ms	(fma (+ k 10) k 1)

simplify2.3s

Counts: 609 → 609

prune8.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

98.1% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch108.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	11915×	body	80	valid
620.0ms	4259×	body	80	nan