Details

sample60.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
19.0ms	236×	body	80	nan

simplify69.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize42.0ms

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)))

rewrite21.0ms

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))
1.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms	(/ (acos (/ (- g) h)) 3)
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (- g) h))
36.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
15.0ms	(/ (acos (/ (- g) h)) 3)
138.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
4	2173
3	764
2	304
1	163
0	107

prune420.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
52×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`associate-/r` `div-inv` `associate-/l`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `sqrt-div` `div-sub` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`acos-asin` `cbrt-undiv` `acos-neg` `clear-num` `frac-2neg` `div-exp` `distribute-frac-neg`
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 → 165

Calls

4 calls:

7.0ms	(/ (acos (/ (- g) h)) 3)
6.0ms	(/ (acos (/ (- g) h)) 3)
34.0ms	(* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))
3.0ms	(cos (fma 2/3 PI (* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (acos (/ (- g) h)) 3)
20.0ms	(/ (acos (/ (- g) h)) 3)
80.0ms	(* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))
282.0ms	(cos (fma 2/3 PI (* (sqrt (/ (acos (/ (- g) h)) 3)) (sqrt (/ (acos (/ (- g) h)) 3)))))

simplify1.9s

Counts

177 → 177

Iterations

Iter	Nodes
done	5002
3	1879
2	692
1	336
0	199

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize32.0ms

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	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
1.0b	(log1p (expm1 (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))))
6.0ms	(/ (acos (/ (- g) h)) 3)
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

series550.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))
11.0ms	(/ (acos (/ (- g) h)) 3)
123.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
208.0ms	(log1p (expm1 (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))

simplify4.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
6	4872
5	3089
4	1583
3	711
2	319
1	182
0	116

prune556.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize49.0ms

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`cos-sum` `cos-mult` `fma-udef`
1×	`cbrt-prod` `pow2` `sqr-cos` `cbrt-div` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
2.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
22.0ms	(cbrt (* (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
21.0ms	(* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
141.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
103.0ms	(cbrt (* (* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))))
172.0ms	(* (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))) (cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3))))

simplify3.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
4	1542
3	516
2	279
1	148
0	84

prune491.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	8063×	body	80	nan
1.1s	8000×	body	80	valid