Details

sample203.0ms

Algorithm

intervals

Results

77.0ms	96×	body	2560	valid
67.0ms	83×	body	1280	valid
22.0ms	276×	body	80	nan
14.0ms	36×	body	640	valid
4.0ms	15×	body	320	valid
4.0ms	20×	body	160	valid
1.0ms	6×	body	80	valid

simplify2.1s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize33.0ms

Local error

Found 3 expressions with local error:

1.0b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b	(* 5 (* v v))
0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite37.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 80

Calls

3 calls:

Slowest

19.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
16.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
31.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify2.3s

Counts: 89 → 89

prune786.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize43.0ms

Local error

Found 2 expressions with local error:

1.0b	(acos (- (* (fma v v (pow v 4)) 4) 1))
0.0b	(* (fma v v (pow v 4)) 4)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

Slowest

11.0ms	(* (fma v v (pow v 4)) 4)
3.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))

series162.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

157.0ms	(* (fma v v (pow v 4)) 4)
5.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))

simplify1.2s

Counts: 38 → 38

prune465.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b	(acos (- (* (fma v v (pow v 4)) 4) 1))
0.0b	(* (fma v v (pow v 4)) 4)
0.0b	(exp (log (acos (- (* (fma v v (pow v 4)) 4) 1))))
0.0b	(log (acos (- (* (fma v v (pow v 4)) 4) 1)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`log-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `exp-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `exp-sum`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 65

Calls

4 calls:

Slowest

16.0ms	(* (fma v v (pow v 4)) 4)
6.0ms	(exp (log (acos (- (* (fma v v (pow v 4)) 4) 1))))
3.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))
1.0ms	(log (acos (- (* (fma v v (pow v 4)) 4) 1)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(* (fma v v (pow v 4)) 4)
94.0ms	(log (acos (- (* (fma v v (pow v 4)) 4) 1)))
5.0ms	(exp (log (acos (- (* (fma v v (pow v 4)) 4) 1))))
3.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))

simplify1.2s

Counts: 77 → 77

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(acos (- (* (fma v v (pow v 4)) 4) 1))
1.0b	(acos (- (* (fma v v (pow v 4)) 4) 1))
0.0b	(* (sqrt (log (acos (- (* (fma v v (pow v 4)) 4) 1)))) (sqrt (log (acos (- (* (fma v v (pow v 4)) 4) 1)))))
0.0b	(* (fma v v (pow v 4)) 4)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`pow1`
26×	`sqrt-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`associate-r` `associate-l`
8×	`sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log`
6×	`log-pow`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`acos-asin` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 100

Calls

4 calls:

Slowest

21.0ms	(* (sqrt (log (acos (- (* (fma v v (pow v 4)) 4) 1)))) (sqrt (log (acos (- (* (fma v v (pow v 4)) 4) 1)))))
11.0ms	(* (fma v v (pow v 4)) 4)
2.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))
1.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))

series265.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(* (fma v v (pow v 4)) 4)
82.0ms	(* (sqrt (log (acos (- (* (fma v v (pow v 4)) 4) 1)))) (sqrt (log (acos (- (* (fma v v (pow v 4)) 4) 1)))))
5.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))
5.0ms	(acos (- (* (fma v v (pow v 4)) 4) 1))

simplify1.9s

Counts: 112 → 112

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

regimes333.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.5s	2984×	body	2560	valid
1.9s	2505×	body	1280	valid
1.2s	7906×	body	80	nan
659.0ms	1240×	body	640	valid
230.0ms	639×	body	320	valid
134.0ms	424×	body	160	valid
27.0ms	208×	body	80	valid