Details

sample73.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
17.0ms	230×	body	80	nan

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	32	20
2	90	20
3	259	20
4	730	20
5	1774	20
6	3054	20
7	3946	20
8	4938	20
done	5000	20

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
14×	`sqrt-div`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
6×	`sqrt-prod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

5.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
121.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
38.0ms	(* 6.0 (* v v))
108.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

113.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
361.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
53.0ms	(* 6.0 (* v v))
574.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify620.0ms

Counts

111 → 111

Iterations

Useful iterations: done (615.0ms)

Iter	Nodes	Cost
0	304	2739
1	910	2534
done	5000	2221

prune438.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b	(* 6.0 (* v v))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
12×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `sqrt-prod` `flip--` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-div` `associate-/r/` `*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/r*` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

30.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
31.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
30.0ms	(* 6.0 (* v v))

series399.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
83.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
130.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
41.0ms	(* 6.0 (* v v))

simplify2.1s

Counts

96 → 96

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	204	1306
1	577	1216
2	3631	1052
done	5002	1040

prune303.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (cbrt (* (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3) (* (pow (- 1.0 (* v v)) 3) (pow (* 3.0 PI) 3)))))
1.0b	(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
1.0b	(pow (* 3.0 PI) 3)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log`
14×	`pow1` `cube-div` `add-cbrt-cube`
12×	`times-frac`
8×	`cbrt-div` `sqrt-div` `associate-*l/` `associate-/r/`
7×	`unpow-prod-down` `flip3--` `cube-prod` `flip--`
6×	`pow-unpow` `sqrt-prod`
5×	`pow-pow`
4×	`cbrt-prod` `frac-times` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
3×	`associate-l` `pow-exp` `associate-/l*` `rem-cube-cbrt`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*r/` `sqr-pow`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `associate-r` `clear-num` `*-commutative` `sqrt-pow2` `div-inv` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

26.0ms	(* 6.0 (* v v))
48.0ms	(/ 4.0 (cbrt (* (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3) (* (pow (- 1.0 (* v v)) 3) (pow (* 3.0 PI) 3)))))
13.0ms	(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
10.0ms	(pow (* 3.0 PI) 3)

series825.0ms

Counts

4 → 10

Calls

4 calls:

48.0ms	(* 6.0 (* v v))
497.0ms	(/ 4.0 (cbrt (* (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3) (* (pow (- 1.0 (* v v)) 3) (pow (* 3.0 PI) 3)))))
281.0ms	(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
0.0ms	(pow (* 3.0 PI) 3)

simplify2.2s

Counts

124 → 124

Iterations

Useful iterations: 2 (796.0ms)

Iter	Nodes	Cost
0	300	2713
1	894	2531
2	4435	2355
done	5001	2355

prune542.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	19	20
done	19	20

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
671.0ms	8054×	body	80	nan