Details

sample136.0ms

Algorithm

intervals

Results

59.0ms	256×	body	80	valid
54.0ms	267×	body	80	nan

simplify56.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	29
4	29
3	28
2	24
1	21
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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×	`associate-/r` `associate-/l`
2×	`acos-asin` `acos-neg` `div-sub` `distribute-frac-neg` `fma-udef`
1×	`cbrt-undiv` `cos-sum` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(acos (/ (- g) h))
0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
5.0ms	(/ (acos (/ (- g) h)) 3)
3.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (- g) h))
46.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
18.0ms	(/ (acos (/ (- g) h)) 3)
144.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.3s

Counts

78 → 78

Iterations

Iter	Nodes
5	3522
4	1316
3	607
2	298
1	161
0	107

prune437.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`
1×	`cos-sum`

Counts

4 → 54

Calls

4 calls:

0.0ms	(fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))
2.0ms	(sqrt (acos (/ (- g) h)))
2.0ms	(sqrt (acos (/ (- g) h)))
4.0ms	(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3)))
10.0ms	(sqrt (acos (/ (- g) h)))
10.0ms	(sqrt (acos (/ (- g) h)))
124.0ms	(cos (fma 2/3 PI (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) 3))))

simplify1.6s

Counts

66 → 66

Iterations

Iter	Nodes
5	3000
4	751
3	245
2	122
1	85
0	67

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.9b	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
1.0b	(/ (acos (/ (- g) h)) 3)
1.0b	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
1.0b	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

rewrite11.0ms

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`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`div-sub`
1×	`acos-asin` `cbrt-undiv` `acos-neg` `cos-sum` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `distribute-frac-neg` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 67

Calls

4 calls:

0.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
5.0ms	(/ (acos (/ (- g) h)) 3)
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
16.0ms	(/ (acos (/ (- g) h)) 3)
244.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
149.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify4.1s

Counts

79 → 79

Iterations

Iter	Nodes
6	3282
5	1984
4	1177
3	577
2	308
1	181
0	116

prune516.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cos-sum` `fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

20.0ms	(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
12.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
161.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
123.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
153.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify3.6s

Counts

88 → 88

Iterations

Iter	Nodes
5	4765
4	1064
3	452
2	264
1	135
0	77

prune558.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes309.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	21
1	21
0	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.2s	8167×	body	80	nan
1.7s	8000×	body	80	valid