Details

sample87.0ms

Algorithm

intervals

Results

49.0ms	381×	body	80	valid
17.0ms	149×	body	80	nan

simplify394.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

394.0ms

(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize39.0ms

Local error

Found 3 expressions with local error:

2.8b	(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0b	(* (pow k m) a)
0.0b	(fma (+ k 10) k 1)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

Slowest

21.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
17.0ms	(* (pow k m) a)
0.0ms	(fma (+ k 10) k 1)

series292.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

136.0ms	(* (pow k m) a)
129.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
27.0ms	(fma (+ k 10) k 1)

simplify12.6s

Counts

80 → 74

Calls

80 calls:

Slowest

1.1s	(* (* (fma (+ k 10) k 1) (fma (+ k 10) k 1)) (fma (+ k 10) k 1))
1.0s	(* (* (/ (* (pow k m) a) (fma (+ k 10) k 1)) (/ (* (pow k m) a) (fma (+ k 10) k 1))) (/ (* (pow k m) a) (fma (+ k 10) k 1)))
523.0ms	(* (cbrt (* (pow k m) a)) (cbrt (* (pow k m) a)))
430.0ms	(* (* (* (pow k m) a) (* (pow k m) a)) (* (pow k m) a))
380.0ms	(log (/ (* (pow k m) a) (fma (+ k 10) k 1)))

prune850.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.8b

localize52.0ms

Local error

Found 4 expressions with local error:

12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(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)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
60×	`sqrt-prod`
59×	`add-sqr-sqrt`
52×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
7×	`associate-l`
6×	`pow1` `associate-/r*` `prod-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `unpow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod` `sqr-pow`
1×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`

Counts

4 → 158

Calls

4 calls:

Slowest

25.0ms	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
17.0ms	(* (pow k m) a)
3.0ms	(sqrt (fma (+ k 10) k 1))
2.0ms	(sqrt (fma (+ k 10) k 1))

series335.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(* (pow k m) a)
117.0ms	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
45.0ms	(sqrt (fma (+ k 10) k 1))
42.0ms	(sqrt (fma (+ k 10) k 1))

simplify42.4s

Counts

235 → 170

Calls

235 calls:

Slowest

712.0ms	(/ (/ (pow k m) (sqrt (sqrt (fma (+ k 10) k 1)))) (* (cbrt (sqrt (fma (+ k 10) k 1))) (cbrt (sqrt (fma (+ k 10) k 1)))))
703.0ms	(/ (/ (pow k m) (sqrt (sqrt (fma (+ k 10) k 1)))) (* (cbrt (sqrt (fma (+ k 10) k 1))) (cbrt (sqrt (fma (+ k 10) k 1)))))
696.0ms	(/ (/ (pow k m) (* (cbrt (sqrt (fma (+ k 10) k 1))) (cbrt (sqrt (fma (+ k 10) k 1))))) 1)
656.0ms	(/ (/ (pow k m) (sqrt (* (cbrt (fma (+ k 10) k 1)) (cbrt (fma (+ k 10) k 1))))) (* (cbrt (sqrt (fma (+ k 10) k 1))) (cbrt (sqrt (fma (+ k 10) k 1)))))
655.0ms	(/ (/ (pow k m) 1) (* (cbrt (sqrt (fma (+ k 10) k 1))) (cbrt (sqrt (fma (+ k 10) k 1)))))

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.8b

localize50.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 61

Calls

4 calls:

Slowest

20.0ms	(cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
2.0ms	(sqrt (fma (+ k 10) k 1))
2.0ms	(sqrt (fma (+ k 10) k 1))
2.0ms	(sqrt (fma (+ k 10) k 1))

series203.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
53.0ms	(sqrt (fma (+ k 10) k 1))
52.0ms	(sqrt (fma (+ k 10) k 1))
42.0ms	(sqrt (fma (+ k 10) k 1))

simplify6.8s

Counts

75 → 73

Calls

75 calls:

Slowest

420.0ms	(* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
347.0ms	(* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
325.0ms	(* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
295.0ms	(cbrt (cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))))
286.0ms	(* (* (cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))) (cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))) (cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 2.8b

localize69.0ms

Local error

Found 4 expressions with local error:

12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))
2.2b	(sqrt (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`times-frac`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`sqrt-div` `div-inv`

Counts

4 → 72

Calls

4 calls:

Slowest

8.0ms	(sqrt (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))))
2.0ms	(sqrt (fma (+ k 10) k 1))
2.0ms	(sqrt (fma (+ k 10) k 1))
2.0ms	(sqrt (fma (+ k 10) k 1))

series482.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

367.0ms	(sqrt (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))))
45.0ms	(sqrt (fma (+ k 10) k 1))
37.0ms	(sqrt (fma (+ k 10) k 1))
33.0ms	(sqrt (fma (+ k 10) k 1))

simplify10.5s

Counts

96 → 84

Calls

96 calls:

Slowest

792.0ms	(* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
414.0ms	(* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
398.0ms	(sqrt (/ (pow k m) (sqrt (* (cbrt (fma (+ k 10) k 1)) (cbrt (fma (+ k 10) k 1))))))
390.0ms	(sqrt (/ (pow k m) (sqrt (sqrt (fma (+ k 10) k 1)))))
358.0ms	(sqrt (/ (pow k m) (sqrt (sqrt (fma (+ k 10) k 1)))))

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 2.8b

regimes112.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.3s	12055×	body	80	valid
609.0ms	4249×	body	80	nan