Details

sample161.0ms

Algorithm

intervals

Results

61.0ms	84×	body	2560	valid
43.0ms	91×	body	1280	valid
21.0ms	293×	body	80	nan
16.0ms	44×	body	640	valid
4.0ms	15×	body	320	valid
3.0ms	14×	body	160	valid
1.0ms	8×	body	80	valid

simplify150.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

150.0ms

(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 3 expressions with local error:

0.4b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b	(* 5 (* v v))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `difference-of-squares`
6×	`associate-/r*`
4×	`difference-of-sqr-1`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

Slowest

37.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
27.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

84.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
36.0ms	(* 5 (* v v))
7.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify7.4s

Counts

70 → 83

Calls

70 calls:

Slowest

427.0ms	(- (pow 1 3) (pow (* 5 (* v v)) 3))
407.0ms	(- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v))))
299.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
294.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
285.0ms	(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune635.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(acos (/ (- 1 (* (* v v) (* (* v v) (* 125 (* v v))))) (* (- (* v v) 1) (+ (* 1 1) (+ (* (* 5 (* v v)) (* 5 (* v v))) (* 1 (* 5 (* v v))))))))
0.2b	(* 125 (* v v))
0.2b	(* 5 (* v v))
0.2b	(* 5 (* v v))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`acos-asin`

Counts

4 → 69

Calls

4 calls:

Slowest

27.0ms	(* 5 (* v v))
26.0ms	(* 125 (* v v))
26.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* (* v v) (* (* v v) (* 125 (* v v))))) (* (- (* v v) 1) (+ (* 1 1) (+ (* (* 5 (* v v)) (* 5 (* v v))) (* 1 (* 5 (* v v))))))))

series138.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(* 125 (* v v))
45.0ms	(* 5 (* v v))
27.0ms	(* 5 (* v v))
14.0ms	(acos (/ (- 1 (* (* v v) (* (* v v) (* 125 (* v v))))) (* (- (* v v) 1) (+ (* 1 1) (+ (* (* 5 (* v v)) (* 5 (* v v))) (* 1 (* 5 (* v v))))))))

simplify3.9s

Counts

42 → 81

Calls

42 calls:

Slowest

744.0ms	(acos (/ (- 1 (* 125 (pow v 6))) (* (+ (* 25 (pow v 4)) (+ (* 5 (pow v 2)) 1)) (- (pow v 2) 1))))
697.0ms	(acos (/ (- 1 (* 125 (pow v 6))) (* (+ (* 25 (pow v 4)) (+ (* 5 (pow v 2)) 1)) (- (pow v 2) 1))))
674.0ms	(acos (/ (- 1 (* 125 (pow v 6))) (* (+ (* 25 (pow v 4)) (+ (* 5 (pow v 2)) 1)) (- (pow v 2) 1))))
285.0ms	(* (* (* 125 125) 125) (* (* (* v v) v) (* (* v v) v)))
258.0ms	(* (* (* 125 125) 125) (* (* (* v v) (* v v)) (* v v)))

prune996.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(acos (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ (+ 1 (* (* v v) (* v v))) (* v v))))
0.2b	(* 5 (* v v))
0.1b	(* (* v v) (* v v))
0.1b	(pow (* v v) 3)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
37×	`pow-prod-up`
27×	`pow-prod-down`
24×	`add-cbrt-cube` `add-exp-log`
23×	`pow-sqr`
19×	`pow-plus`
14×	`pow2`
12×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`pow-pow` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`pow-unpow`
2×	`associate-r` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`acos-asin` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

Slowest

36.0ms	(* (* v v) (* v v))
23.0ms	(* 5 (* v v))
5.0ms	(pow (* v v) 3)
5.0ms	(acos (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ (+ 1 (* (* v v) (* v v))) (* v v))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(pow (* v v) 3)
49.0ms	(* (* v v) (* v v))
30.0ms	(* 5 (* v v))
6.0ms	(acos (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ (+ 1 (* (* v v) (* v v))) (* v v))))

simplify4.0s

Counts

99 → 132

Calls

99 calls:

Slowest

471.0ms	(acos (/ (* (- 1 (* 5 (pow v 2))) (+ (pow v 4) (+ (pow v 2) 1))) (- (pow v 6) 1)))
466.0ms	(acos (/ (* (- 1 (* 5 (pow v 2))) (+ (pow v 4) (+ (pow v 2) 1))) (- (pow v 6) 1)))
447.0ms	(* (* (* (* v v) v) (* (* v v) v)) (* (* (* v v) (* v v)) (* v v)))
428.0ms	(acos (/ (* (- 1 (* 5 (pow v 2))) (+ (pow v 4) (+ (pow v 2) 1))) (- (pow v 6) 1)))
363.0ms	(* (* (* (* v v) (* v v)) (* v v)) (* (* (* v v) (* v v)) (* v v)))

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(acos (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ (+ 1 (* (* v v) (* v v))) (* v v))))
0.2b	(* 5 (* v v))
0.1b	(* (* v v) (* v v))
0.1b	(pow (* v v) 3)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
37×	`pow-prod-up`
27×	`pow-prod-down`
24×	`add-cbrt-cube` `add-exp-log`
23×	`pow-sqr`
19×	`pow-plus`
14×	`pow2`
12×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`pow-pow` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`pow-unpow`
2×	`associate-r` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`acos-asin` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

Slowest

37.0ms	(* (* v v) (* v v))
17.0ms	(* 5 (* v v))
9.0ms	(pow (* v v) 3)
9.0ms	(acos (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ (+ 1 (* (* v v) (* v v))) (* v v))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(pow (* v v) 3)
50.0ms	(* (* v v) (* v v))
44.0ms	(* 5 (* v v))
10.0ms	(acos (* (/ (- 1 (* 5 (* v v))) (- (pow (* v v) 3) (pow 1 3))) (+ (+ 1 (* (* v v) (* v v))) (* v v))))

simplify4.1s

Counts

99 → 132

Calls

99 calls:

Slowest

474.0ms	(acos (/ (* (- 1 (* 5 (pow v 2))) (+ (pow v 4) (+ (pow v 2) 1))) (- (pow v 6) 1)))
460.0ms	(acos (/ (* (- 1 (* 5 (pow v 2))) (+ (pow v 4) (+ (pow v 2) 1))) (- (pow v 6) 1)))
416.0ms	(acos (/ (* (- 1 (* 5 (pow v 2))) (+ (pow v 4) (+ (pow v 2) 1))) (- (pow v 6) 1)))
381.0ms	(* (* (* (* v v) v) (* (* v v) v)) (* (* (* v v) (* v v)) (* v v)))
377.0ms	(* (* (* (* v v) (* v v)) (* v v)) (* (* (* v v) (* v v)) (* v v)))

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

regimes92.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch8.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.4s	3053×	body	2560	valid
1.8s	2491×	body	1280	valid
1.2s	1245×	body	640	valid
823.0ms	8019×	body	80	nan
275.0ms	604×	body	320	valid
130.0ms	402×	body	160	valid
30.0ms	205×	body	80	valid