Details

sample141.0ms

Algorithm

intervals

Results

69.0ms	256×	body	80	valid
48.0ms	274×	body	80	nan

simplify79.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize27.0ms

Local error

Found 3 expressions with local error:

1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(/ (acos (/ (- g) h)) 3)
0.0b	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-sub` `fma-udef`
1×	`acos-asin` `cbrt-undiv` `acos-neg` `cos-sum` `clear-num` `frac-2neg` `div-exp` `distribute-frac-neg` `div-inv`

Counts

3 → 54

Calls

3 calls:

Slowest

10.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series204.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

148.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
37.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
19.0ms	(/ (acos (/ (- g) h)) 3)

simplify698.0ms

Counts: 76 → 63

prune623.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
0.0b	(/ (acos (/ (- g) h)) (sqrt 3))
0.0b	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
0.0b	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
156×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
144×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
6×	`div-sub`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`acos-asin` `acos-neg` `clear-num` `frac-2neg` `distribute-frac-neg` `fma-udef`
1×	`cos-sum` `associate-/l/`

Counts

4 → 246

Calls

4 calls:

Slowest

18.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
6.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
3.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
0.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))

series623.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

292.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
144.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
121.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
66.0ms	(/ (acos (/ (- g) h)) (sqrt 3))

simplify442.0ms

Counts: 415 → 258

prune3.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(/ (acos (/ (- g) h)) 3)
0.0b	(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
0.0b	(exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`exp-prod` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log-pow` `insert-posit16` `log1p-expm1-u`
3×	`cos-sum` `log-prod` `associate-/r` `fma-udef` `associate-/l`
2×	`exp-diff` `div-sub`
1×	`acos-asin` `cbrt-undiv` `acos-neg` `log-div` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `distribute-frac-neg` `div-inv` `rem-exp-log`

Counts

4 → 77

Calls

4 calls:

Slowest

10.0ms	(/ (acos (/ (- g) h)) 3)
8.0ms	(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
6.0ms	(exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
143.0ms	(log (exp (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
136.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
12.0ms	(/ (acos (/ (- g) h)) 3)

simplify714.0ms

Counts: 105 → 89

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(/ (acos (/ (- g) h)) 3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cos-sum` `associate-/r` `fma-udef` `associate-/l`
2×	`div-sub`
1×	`acos-asin` `cbrt-undiv` `acos-neg` `clear-num` `frac-2neg` `div-exp` `distribute-frac-neg` `div-inv`

Counts

4 → 65

Calls

4 calls:

Slowest

10.0ms	(/ (acos (/ (- g) h)) 3)
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
4.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
122.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
120.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
16.0ms	(/ (acos (/ (- g) h)) 3)

simplify840.0ms

Counts: 92 → 77

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch4.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
1.6s	8078×	body	80	nan