Details

sample45.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
12.0ms	243×	body	80	nan

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	14	16
1	21	16
2	25	16
3	29	15
4	32	15
5	33	15
done	33	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

0.0ms	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
3.0ms	(/ (acos (/ (- g) h)) 3.0)
1.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
11.0ms	(/ (acos (/ (- g) h)) 3.0)
104.0ms	(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.8s

Counts

60 → 60

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	103	842
1	153	818
2	272	740
3	587	740
4	1253	740
5	3082	740
done	5000	740

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (acos (/ (- g) h)))
1.0b	(cbrt (acos (/ (- g) h)))
1.0b	(/ (cbrt (acos (/ (- g) h))) (cbrt 3.0))
1.0b	(cos (fma (/ 2.0 3.0) PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (acos (/ (- g) h))) (cbrt 3.0)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod`
36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `cos-sum` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 98

Calls

4 calls:

0.0ms	(cbrt (acos (/ (- g) h)))
1.0ms	(cbrt (acos (/ (- g) h)))
8.0ms	(/ (cbrt (acos (/ (- g) h))) (cbrt 3.0))
1.0ms	(cos (fma (/ 2.0 3.0) PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (acos (/ (- g) h))) (cbrt 3.0)))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (acos (/ (- g) h)))
40.0ms	(cbrt (acos (/ (- g) h)))
102.0ms	(/ (cbrt (acos (/ (- g) h))) (cbrt 3.0))
161.0ms	(cos (fma (/ 2.0 3.0) PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (acos (/ (- g) h))) (cbrt 3.0)))))

simplify2.1s

Counts

110 → 110

Iterations

Useful iterations: 3 (279.0ms)

Iter	Nodes	Cost
0	136	1985
1	204	1917
2	392	1535
3	1322	1516
done	5000	1516

prune420.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))))
1.0b	(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))
1.0b	(log1p (expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))))
1.0b	(pow (cbrt 3.0) 3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`cube-mult` `pow-to-exp` `cos-sum` `log1p-udef` `expm1-log1p` `pow1/3` `unpow3` `log1p-expm1` `pow-exp` `fma-udef` `expm1-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

0.0ms	(expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))))
1.0ms	(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))
0.0ms	(log1p (expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))))
2.0ms	(pow (cbrt 3.0) 3)

series421.0ms

Counts

4 → 10

Calls

4 calls:

146.0ms	(expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))))
108.0ms	(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))
167.0ms	(log1p (expm1 (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))))
0.0ms	(pow (cbrt 3.0) 3)

simplify3.4s

Counts

74 → 74

Iterations

Useful iterations: 4 (323.0ms)

Iter	Nodes	Cost
0	102	1105
1	185	818
2	284	729
3	520	729
4	1322	725
5	4580	725
done	5000	725

prune227.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))
1.0b	(pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))) 3)
1.0b	(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))) 3))
1.0b	(pow (cbrt 3.0) 3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1` `add-exp-log` `pow-unpow`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-pow` `unpow3` `sqr-pow`
2×	`pow-to-exp` `pow1/3` `pow-exp` `rem-cube-cbrt`
1×	`cos-sum` `rem-cbrt-cube` `fma-udef`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))
2.0ms	(pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))) 3)
1.0ms	(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))) 3))
2.0ms	(pow (cbrt 3.0) 3)

series362.0ms

Counts

4 → 10

Calls

4 calls:

101.0ms	(cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3))))
158.0ms	(pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))) 3)
103.0ms	(cbrt (pow (cos (fma PI (/ 2.0 3.0) (/ (acos (/ (- g) h)) (pow (cbrt 3.0) 3)))) 3))
0.0ms	(pow (cbrt 3.0) 3)

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	116	2034
1	223	1441
2	494	1274
3	2165	1274
done	5001	1274

prune274.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	22	33
done	22	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

479.0ms	8000×	body	80	valid
386.0ms	8006×	body	80	nan