Details

sample148.0ms

Algorithm

intervals

Results

67.0ms	256×	body	80	valid
57.0ms	291×	body	80	nan

simplify34.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:

0.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
15.0ms	(/ (acos (/ (- g) h)) 3)
5.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
12.0ms	(/ (acos (/ (- g) h)) 3)
136.0ms	(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))

simplify2.2s

Counts

63 → 63

Iterations

Iter	Nodes
5	3840
4	1505
3	640
2	296
1	160
0	103

prune759.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (acos (/ (- g) h)) (sqrt 3))
0.9b	(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
1.0b	(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
1.0b	(/ 1 (sqrt 3))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
94×	`times-frac`
66×	`*-un-lft-identity`
60×	`add-cube-cbrt`
53×	`sqrt-prod`
32×	`add-exp-log`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`associate-/r*`
11×	`div-exp`
8×	`pow1` `prod-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `frac-2neg` `div-sub`
1×	`acos-asin` `frac-times` `acos-neg` `cos-sum` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `distribute-frac-neg` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 189

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
45.0ms	(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
5.0ms	(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
11.0ms	(/ 1 (sqrt 3))

series464.0ms

Counts

4 → 10

Calls

4 calls:

66.0ms	(/ (acos (/ (- g) h)) (sqrt 3))
112.0ms	(* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))
285.0ms	(cos (fma 2/3 PI (* (/ 1 (sqrt 3)) (/ (acos (/ (- g) h)) (sqrt 3)))))
0.0ms	(/ 1 (sqrt 3))

simplify2.6s

Counts

199 → 199

Iterations

Iter	Nodes
3	3775
2	1218
1	520
0	221

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize64.0ms

Local error

Found 4 expressions with local error:

1.0b	(* 2/3 PI)
1.0b	(/ 1 (sqrt 3))
1.0b	(/ 1 (sqrt 3))
1.6b	(cos (* 2/3 PI))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
24×	`sqrt-prod`
14×	`add-exp-log`
12×	`associate-/r*`
10×	`pow1` `add-cbrt-cube`
6×	`pow-flip` `associate-/l*`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `inv-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

10.0ms	(* 2/3 PI)
9.0ms	(/ 1 (sqrt 3))
10.0ms	(/ 1 (sqrt 3))
15.0ms	(cos (* 2/3 PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* 2/3 PI)
0.0ms	(/ 1 (sqrt 3))
0.0ms	(/ 1 (sqrt 3))
0.0ms	(cos (* 2/3 PI))

simplify1.9s

Counts

131 → 131

Iterations

Iter	Nodes
7	2390
6	1237
5	818
4	613
3	514
2	333
1	197
0	124

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

5.0ms	(* 2/3 PI)
5.0ms	(* 2/3 PI)
7.0ms	(sin (* 2/3 PI))
14.0ms	(cos (* 2/3 PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify3.7s

Counts

66 → 66

Iterations

Iter	Nodes
8	5104
7	1633
6	761
5	437
4	279
3	200
2	136
1	90
0	59

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
2	36
1	36
0	26

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.0s	8036×	body	80	nan
1.7s	8000×	body	80	valid