Details

sample242.0ms

Algorithm

intervals

Results

96.0ms	81×	body	2560	valid
62.0ms	83×	body	1280	valid
27.0ms	46×	body	640	valid
25.0ms	240×	body	80	nan
8.0ms	20×	body	320	valid
5.0ms	19×	body	160	valid
1.0ms	7×	body	80	valid

simplify217.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

216.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize13.0ms

Local error

Found 1 expressions with local error:

1.1b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

1.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

3.0ms

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

simplify324.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

124.0ms	(acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1)))
103.0ms	(acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1)))
97.0ms	(acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1)))

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize40.0ms

Local error

Found 3 expressions with local error:

1.1b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0b	(exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
0.0b	(log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`exp-prod` `add-exp-log`
3×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `rem-exp-log`

Counts

3 → 44

Calls

3 calls:

Slowest

5.0ms	(exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
2.0ms	(log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
2.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

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

simplify2.3s

Counts

21 → 53

Calls

21 calls:

Slowest

272.0ms	(exp (* (cbrt (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (cbrt (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
212.0ms	(exp (log (* (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
178.0ms	(exp (log (sqrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))
153.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
142.0ms	(log (* (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))

prune557.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.1b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.1b	(expm1 (log1p (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
0.0b	(exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
0.0b	(log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`log-pow`
1×	`acos-asin` `expm1-log1p` `rem-log-exp` `expm1-udef` `rem-exp-log`

Counts

4 → 56

Calls

4 calls:

Slowest

5.0ms	(exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
2.0ms	(log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
2.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0ms	(expm1 (log1p (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(expm1 (log1p (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
87.0ms	(log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
5.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
5.0ms	(exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

simplify2.7s

Counts

25 → 68

Calls

25 calls:

Slowest

238.0ms	(exp (* (cbrt (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (cbrt (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
162.0ms	(log (sqrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
162.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
161.0ms	(exp (log (* (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
159.0ms	(log (* (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))) (cbrt (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))))

prune804.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize69.0ms

Local error

Found 4 expressions with local error:

1.1b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
1.1b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
1.1b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
1.0b	(cbrt (* (* (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))) (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

Slowest

69.0ms	(cbrt (* (* (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))) (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
2.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
2.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
2.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

series12.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

4.0ms	(cbrt (* (* (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))) (exp (log (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)))
3.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify1.6s

Counts

14 → 58

Calls

14 calls:

Slowest

173.0ms	(cbrt (* (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) (exp (log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))))
145.0ms	(log (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))
133.0ms	(acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1)))
120.0ms	(acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1)))
116.0ms	(acos (/ (fma -5 (pow v 2) 1) (- (pow v 2) 1)))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.9s	2916×	body	2560	valid
1.8s	2477×	body	1280	valid
985.0ms	8069×	body	80	nan
666.0ms	1311×	body	640	valid
654.0ms	661×	body	320	valid
100.0ms	424×	body	160	valid
50.0ms	211×	body	80	valid