Details

sample203.0ms

Algorithm

intervals

Results

100.0ms	98×	body	2560	valid
46.0ms	82×	body	1280	valid
20.0ms	251×	body	80	nan
15.0ms	37×	body	640	valid
5.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	8×	body	80	valid

simplify257.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

256.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`associate-/r*`
4×	`add-cbrt-cube` `difference-of-sqr-1` `add-exp-log`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`

Counts

2 → 55

Calls

2 calls:

Slowest

23.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
2.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

91.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
5.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify4.8s

Counts

54 → 61

Calls

54 calls:

Slowest

274.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
239.0ms	(- (+ (* 4 (/ 1 (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))))
219.0ms	(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (* (cbrt (- (* v v) 1)) (cbrt (- (* v v) 1))))
198.0ms	(/ (* (cbrt (fma -5 (* v v) 1)) (cbrt (fma -5 (* v v) 1))) (sqrt (- (* v v) 1)))
196.0ms	(- (+ (* 4 (pow v 4)) (* 4 (pow v 2))) 1)

prune592.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
1.0b	(* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
0.4b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.4b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `acos-asin` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

Slowest

27.0ms	(* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
24.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
1.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
1.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

50.0ms	(* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
6.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
3.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
3.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify5.8s

Counts

39 → 78

Calls

39 calls:

Slowest

288.0ms	(* (* (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
287.0ms	(* (* (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
274.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 3)
269.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 3)
265.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 3)

prune851.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
1.0b	(* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
0.4b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.4b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `acos-asin` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

Slowest

21.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
15.0ms	(* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
1.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
1.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
5.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
5.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
4.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

simplify5.8s

Counts

39 → 78

Calls

39 calls:

Slowest

309.0ms	(* (* (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
292.0ms	(* (* (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
273.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 3)
249.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 3)
248.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 3)

prune886.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0b	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0b	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
1.0b	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

14.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
4.0ms	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
4.0ms	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
4.0ms	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

176.0ms	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
156.0ms	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
152.0ms	(cbrt (cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
4.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

simplify5.3s

Counts

26 → 70

Calls

26 calls:

Slowest

368.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
346.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
310.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
299.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)
298.0ms	(pow (acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1))) 1/3)

prune976.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.1s	3000×	body	2560	valid
2.7s	2536×	body	1280	valid
886.0ms	7984×	body	80	nan
683.0ms	1260×	body	640	valid
270.0ms	605×	body	320	valid
100.0ms	406×	body	160	valid
25.0ms	193×	body	80	valid