Details

sample54.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
14.0ms	248×	body	80	nan

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1057
3	256
2	89
1	34
0	16

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
0.0b	(fma -6 (* v v) 2)
0.2b	(* PI (* v v))
1.0b	(/ 4/3 (- PI (* PI (* v v))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
95×	`add-sqr-sqrt`
94×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
18×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
9×	`pow1` `associate-/r*` `div-inv`
8×	`flip3--` `flip--`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr` `associate-/l/`

Counts

4 → 194

Calls

4 calls:

17.0ms	(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
0.0ms	(fma -6 (* v v) 2)
14.0ms	(* PI (* v v))
7.0ms	(/ 4/3 (- PI (* PI (* v v))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

542.0ms	(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
97.0ms	(fma -6 (* v v) 2)
58.0ms	(* PI (* v v))
132.0ms	(/ 4/3 (- PI (* PI (* v v))))

simplify2.2s

Counts

206 → 206

Iterations

Iter	Nodes
done	5014
2	2660
1	895
0	371

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
0.0b	(* 4/3 (/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2))))
0.0b	(fma -6 (* v v) 2)
0.2b	(* PI (* v v))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

307×	`times-frac`
183×	`add-sqr-sqrt`
162×	`*-un-lft-identity`
160×	`add-cube-cbrt`
96×	`sqrt-prod`
95×	`associate-r`
33×	`add-exp-log`
26×	`associate-/r/`
23×	`add-cbrt-cube`
15×	`div-inv` `associate-/l*`
13×	`flip3--` `flip--`
12×	`div-exp`
11×	`pow1`
8×	`prod-exp` `unswap-sqr`
6×	`cbrt-undiv` `associate-/r` `associate-l*` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `*-commutative`
1×	`clear-num` `frac-2neg` `associate-*r/` `fma-udef` `associate-/l/`

Counts

4 → 289

Calls

4 calls:

18.0ms	(/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
37.0ms	(* 4/3 (/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2))))
0.0ms	(fma -6 (* v v) 2)
29.0ms	(* PI (* v v))

series984.0ms

Counts

4 → 12

Calls

4 calls:

369.0ms	(/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
499.0ms	(* 4/3 (/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2))))
81.0ms	(fma -6 (* v v) 2)
35.0ms	(* PI (* v v))

simplify2.6s

Counts

301 → 301

Iterations

Iter	Nodes
done	5000
2	3656
1	1239
0	457

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma -6 (* v v) 2)
0.0b	(log (exp (fma -6 (* v v) 2)))
0.2b	(* PI (* v v))
1.0b	(/ 4/3 (- PI (* PI (* v v))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac`
4×	`expm1-log1p-u` `log-prod` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `associate-/r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`associate-/r/` `fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `associate-r` `exp-sum` `*-commutative` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma -6 (* v v) 2)
2.0ms	(log (exp (fma -6 (* v v) 2)))
13.0ms	(* PI (* v v))
7.0ms	(/ 4/3 (- PI (* PI (* v v))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma -6 (* v v) 2)
83.0ms	(log (exp (fma -6 (* v v) 2)))
60.0ms	(* PI (* v v))
110.0ms	(/ 4/3 (- PI (* PI (* v v))))

simplify3.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	4067
2	915
1	349
0	162

prune598.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (exp (fma -6 (* v v) 2))))
0.0b	(log (sqrt (exp (fma -6 (* v v) 2))))
0.2b	(* PI (* v v))
1.0b	(/ 4/3 (- PI (* PI (* v v))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `add-cube-cbrt`
14×	`log-prod`
13×	`pow1` `add-exp-log`
12×	`log-pow`
11×	`add-cbrt-cube`
9×	`times-frac`
8×	`sqrt-pow1` `sqrt-prod`
6×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`pow1/2` `rem-log-exp` `exp-sum` `associate-/r/` `fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `associate-r` `*-commutative` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

11.0ms	(log (sqrt (exp (fma -6 (* v v) 2))))
6.0ms	(log (sqrt (exp (fma -6 (* v v) 2))))
16.0ms	(* PI (* v v))
7.0ms	(/ 4/3 (- PI (* PI (* v v))))

series1.7s

Counts

4 → 12

Calls

4 calls:

804.0ms	(log (sqrt (exp (fma -6 (* v v) 2))))
746.0ms	(log (sqrt (exp (fma -6 (* v v) 2))))
41.0ms	(* PI (* v v))
123.0ms	(/ 4/3 (- PI (* PI (* v v))))

simplify3.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4598
2	991
1	359
0	172

prune675.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes81.0ms

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
done	18
1	18
0	14

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
750.0ms	8112×	body	80	nan