Details

sample130.0ms

Algorithm

intervals

Results

56.0ms	256×	body	80	valid
51.0ms	261×	body	80	nan

simplify96.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize40.0ms

Local error

Found 3 expressions with local error:

1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.9b	(/ (acos (/ (- g) h)) 3)
0.0b	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

rewrite26.0ms

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

14.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
10.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series166.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

115.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
39.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms	(/ (acos (/ (- g) h)) 3)

simplify3.1s

Counts: 63 → 63

prune785.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize36.0ms

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))

rewrite30.0ms

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

10.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
6.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
5.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
4.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

296.0ms	(cos (fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
136.0ms	(fma 2/3 PI (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
108.0ms	(/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))
64.0ms	(/ (acos (/ (- g) h)) (sqrt 3))

simplify817.0ms

Counts: 258 → 258

prune3.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
1.0b	(cos (fma 2/3 PI (* (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))))
0.9b	(sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
0.9b	(sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

2100×	`sqrt-prod`
1972×	`times-frac`
1388×	`add-sqr-sqrt`
854×	`*-un-lft-identity` `add-cube-cbrt`
233×	`swap-sqr`
139×	`associate-r` `associate-l`
64×	`unswap-sqr`
46×	`div-inv`
21×	`pow1`
14×	`rem-sqrt-square`
10×	`sqrt-pow1` `pow1/2`
6×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `frac-times` `cos-sum` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 929

Calls

4 calls:

Slowest

55.0ms	(* (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
10.0ms	(sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
6.0ms	(sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
2.0ms	(cos (fma 2/3 PI (* (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

331.0ms	(cos (fma 2/3 PI (* (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))))
123.0ms	(* (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))) (sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3))))
99.0ms	(sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))
60.0ms	(sqrt (/ (/ (acos (/ (- g) h)) (sqrt 3)) (sqrt 3)))

simplify1.7s

Counts: 941 → 941

prune15.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

1.6b	(cos (* 2/3 PI))
1.0b	(* 2/3 PI)
1.0b	(* 2/3 PI)
1.0b	(sin (* 2/3 PI))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

Slowest

7.0ms	(cos (* 2/3 PI))
7.0ms	(sin (* 2/3 PI))
5.0ms	(* 2/3 PI)
5.0ms	(* 2/3 PI)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(cos (* 2/3 PI))
0.0ms	(* 2/3 PI)
0.0ms	(sin (* 2/3 PI))
0.0ms	(* 2/3 PI)

simplify1.7s

Counts: 66 → 66

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch10.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
1.6s	7974×	body	80	nan