Details

sample86.0ms

Algorithm

intervals

Results

39.0ms	284×	body	80	nan
29.0ms	256×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2835
5	1829
4	630
3	199
2	89
1	34
0	16

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

1.0b	(/ 4 (* PI (* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2)))))
1.0b	(* PI (* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2))))
1.0b	(* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

24.0ms	(/ 4 (* PI (* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2)))))
18.0ms	(* PI (* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2))))
12.0ms	(* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2)))

series986.0ms

Counts

3 → 9

Calls

3 calls:

505.0ms	(/ 4 (* PI (* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2)))))
274.0ms	(* PI (* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2))))
207.0ms	(* (fma (* v v) -3 3) (sqrt (fma -6 (* v v) 2)))

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
2	2416
1	673
0	242

prune924.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3)))
1.0b	(/ 4 (* PI (cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3))))))))
1.0b	(cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3))))))
1.0b	(* PI (cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3)))))))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
5×	`associate-r` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-prod` `cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow1/3` `cube-unmult` `pow-sqr` `div-inv`

Counts

4 → 89

Calls

4 calls:

26.0ms	(* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3)))
56.0ms	(/ 4 (* PI (cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3))))))))
132.0ms	(cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3))))))
115.0ms	(* PI (cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3)))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3)))
550.0ms	(/ 4 (* PI (cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3))))))))
254.0ms	(cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3))))))
274.0ms	(* PI (cbrt (* (sqrt (fma -6 (* v v) 2)) (* (fma -6 (* v v) 2) (* (fma (* v v) -3 3) (* (fma (* v v) -3 3) (fma (* v v) -3 3)))))))

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
2	2347
1	727
0	278

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(* PI (fma (* v v) -3 3))
0.0b	(* (* PI (fma (* v v) -3 3)) (sqrt (fma -6 (* v v) 2)))
1.0b	(/ 4 (* (* PI (fma (* v v) -3 3)) (sqrt (fma -6 (* v v) 2))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`pow1`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`expm1-log1p-u` `cbrt-undiv` `times-frac` `div-exp` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `div-inv` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

6.0ms	(* PI (fma (* v v) -3 3))
33.0ms	(* (* PI (fma (* v v) -3 3)) (sqrt (fma -6 (* v v) 2)))
39.0ms	(/ 4 (* (* PI (fma (* v v) -3 3)) (sqrt (fma -6 (* v v) 2))))

series920.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(* PI (fma (* v v) -3 3))
254.0ms	(* (* PI (fma (* v v) -3 3)) (sqrt (fma -6 (* v v) 2)))
545.0ms	(/ 4 (* (* PI (fma (* v v) -3 3)) (sqrt (fma -6 (* v v) 2))))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
2	2104
1	620
0	224

prune907.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	22
1	22
0	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
1.0s	8083×	body	80	nan