Details

sample72.0ms

Algorithm

intervals

Results

41.0ms	392×	body	80	valid
13.0ms	126×	body	80	nan

simplify1.3s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize17.0ms

Local error

Found 2 expressions with local error:

3.0b	(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0b	(fma (+ k 10) k 1)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log`
7×	`add-cbrt-cube`
4×	`add-sqr-sqrt` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
3×	`associate-/r*` `times-frac` `prod-exp`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 37

Calls

2 calls:

Slowest

11.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0ms	(fma (+ k 10) k 1)

series194.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

162.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
31.0ms	(fma (+ k 10) k 1)

simplify1.8s

Counts: 43 → 43

prune490.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

20.1b	(sqrt (fma (+ k 10) k 1))
20.1b	(sqrt (fma (+ k 10) k 1))
0.0b	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
0.0b	(/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
66×	`sqrt-prod`
55×	`add-sqr-sqrt`
53×	`*-un-lft-identity` `add-cube-cbrt`
30×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`div-exp`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv`
6×	`pow1` `prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 162

Calls

4 calls:

Slowest

16.0ms	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
11.0ms	(/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1)))
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))

series432.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

205.0ms	(/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1)))
131.0ms	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
53.0ms	(sqrt (fma (+ k 10) k 1))
43.0ms	(sqrt (fma (+ k 10) k 1))

simplify884.0ms

Counts: 174 → 174

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

13.0b	(fma (/ 99 (* k k)) (* (/ (exp (* m (+ 0 (log k)))) k) (/ a k)) (fma (/ (exp (* m (+ 0 (log k)))) k) (/ a k) (* (/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k))) -10)))
4.8b	(fma (/ (exp (* m (+ 0 (log k)))) k) (/ a k) (* (/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k))) -10))
4.2b	(/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k)))
2.1b	(* (/ (exp (* m (+ 0 (log k)))) k) (/ a k))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

250×	`times-frac`
99×	`add-sqr-sqrt`
87×	`*-un-lft-identity` `add-cube-cbrt`
44×	`exp-sum`
34×	`add-cbrt-cube`
27×	`add-exp-log`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`associate-l`
18×	`associate-/r*`
15×	`cbrt-undiv` `div-exp` `div-inv`
13×	`associate-r`
7×	`associate-/r/`
6×	`pow1` `prod-exp` `cbrt-unprod`
5×	`associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`fma-udef`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 218

Calls

4 calls:

Slowest

39.0ms	(* (/ (exp (* m (+ 0 (log k)))) k) (/ a k))
29.0ms	(/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k)))
1.0ms	(fma (/ 99 (* k k)) (* (/ (exp (* m (+ 0 (log k)))) k) (/ a k)) (fma (/ (exp (* m (+ 0 (log k)))) k) (/ a k) (* (/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k))) -10)))
1.0ms	(fma (/ (exp (* m (+ 0 (log k)))) k) (/ a k) (* (/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k))) -10))

series713.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

225.0ms	(fma (/ 99 (* k k)) (* (/ (exp (* m (+ 0 (log k)))) k) (/ a k)) (fma (/ (exp (* m (+ 0 (log k)))) k) (/ a k) (* (/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k))) -10)))
181.0ms	(/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k)))
169.0ms	(fma (/ (exp (* m (+ 0 (log k)))) k) (/ a k) (* (/ (exp (* m (+ 0 (log k)))) (/ (* k k) (/ a k))) -10))
137.0ms	(* (/ (exp (* m (+ 0 (log k)))) k) (/ a k))

simplify745.0ms

Counts: 230 → 230

prune4.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

8.7b	(fma 99 (/ a (/ (* (* k k) (* k k)) (exp (- (- (* m (log k))))))) (+ (/ (/ (exp (- (- (* m (log k))))) (/ k a)) k) (* (/ (exp (- (- (* m (log k))))) (/ (* (* k k) k) a)) -10)))
5.7b	(/ (* (* k k) k) a)
5.5b	(+ (/ (/ (exp (- (- (* m (log k))))) (/ k a)) k) (* (/ (exp (- (- (* m (log k))))) (/ (* (* k k) k) a)) -10))
4.4b	(/ (* (* k k) (* k k)) (exp (- (- (* m (log k))))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

972×	`times-frac`
492×	`distribute-neg-in`
444×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
370×	`fma-def`
246×	`log-prod` `exp-sum`
123×	`distribute-rgt-in` `distribute-lft-in`
33×	`div-inv`
31×	`add-cbrt-cube`
26×	`add-exp-log`
12×	`associate-/r*`
11×	`prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l*`
1×	`neg-sub0` `exp-neg` `+-commutative` `sum-log` `flip3-+` `exp-diff` `associate-*l/` `frac-add` `flip-+` `fma-udef`

Counts

4 → 466

Calls

4 calls:

Slowest

72.0ms	(+ (/ (/ (exp (- (- (* m (log k))))) (/ k a)) k) (* (/ (exp (- (- (* m (log k))))) (/ (* (* k k) k) a)) -10))
40.0ms	(/ (* (* k k) (* k k)) (exp (- (- (* m (log k))))))
23.0ms	(/ (* (* k k) k) a)
0.0ms	(fma 99 (/ a (/ (* (* k k) (* k k)) (exp (- (- (* m (log k))))))) (+ (/ (/ (exp (- (- (* m (log k))))) (/ k a)) k) (* (/ (exp (- (- (* m (log k))))) (/ (* (* k k) k) a)) -10)))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

658.0ms	(fma 99 (/ a (/ (* (* k k) (* k k)) (exp (- (- (* m (log k))))))) (+ (/ (/ (exp (- (- (* m (log k))))) (/ k a)) k) (* (/ (exp (- (- (* m (log k))))) (/ (* (* k k) k) a)) -10)))
237.0ms	(+ (/ (/ (exp (- (- (* m (log k))))) (/ k a)) k) (* (/ (exp (- (- (* m (log k))))) (/ (* (* k k) k) a)) -10))
98.0ms	(/ (* (* k k) (* k k)) (exp (- (- (* m (log k))))))
39.0ms	(/ (* (* k k) k) a)

simplify1.2s

Counts: 478 → 478

prune10.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

98.4% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch95.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	11858×	body	80	valid
585.0ms	4100×	body	80	nan