Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	270×	body	80	nan

simplify911.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 3.0 PI) (- 1.0 (* 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))))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

36.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
91.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms	(* 6.0 (* v v))
98.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
342.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
56.0ms	(* 6.0 (* v v))
590.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.9s

Counts: 121 → 121

prune474.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
44×	`add-sqr-sqrt`
42×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log` `add-cbrt-cube`
30×	`sqrt-prod`
18×	`associate-*r/` `associate-/r/`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod` `associate-/l*`
10×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
9×	`div-inv`
7×	`associate-/r*`
6×	`pow-prod-down`
5×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-div` `clear-num` `*-commutative`
1×	`associate-/l/` `difference-of-squares` `unswap-sqr`

Counts

4 → 159

Calls

4 calls:

39.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
28.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
71.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
19.0ms	(* 6.0 (* v v))

series1.0s

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
144.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
635.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
53.0ms	(* 6.0 (* v v))

simplify1.9s

Counts: 171 → 171

prune739.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (+ 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b	(* (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (+ 1.0 (* v v)))
0.1b	(* (* v v) (* v v))
0.2b	(* 6.0 (* v v))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
55×	`add-exp-log` `add-cbrt-cube`
36×	`pow-prod-up`
27×	`pow-prod-down`
25×	`prod-exp` `cbrt-unprod`
22×	`pow-sqr`
18×	`pow-plus`
15×	`add-sqr-sqrt`
13×	`pow2` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`cbrt-undiv` `div-exp`
9×	`times-frac`
6×	`associate-r/` `associate-/r` `sqrt-prod`
5×	`associate-r` `associate-/l/`
4×	`frac-times` `flip3-+` `associate-/r/` `flip-+` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`flip3--` `sqrt-div` `associate-*l/` `flip--` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `swap-sqr` `clear-num` `associate-/l*`

Counts

4 → 159

Calls

4 calls:

115.0ms	(/ (* (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (+ 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
191.0ms	(* (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (+ 1.0 (* v v)))
36.0ms	(* (* v v) (* v v))
26.0ms	(* 6.0 (* v v))

series956.0ms

Counts

4 → 12

Calls

4 calls:

657.0ms	(/ (* (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (+ 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
208.0ms	(* (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (+ 1.0 (* v v)))
42.0ms	(* (* v v) (* v v))
49.0ms	(* 6.0 (* v v))

simplify642.0ms

Counts: 171 → 171

prune491.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

-7.4% (0.0b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
683.0ms	7862×	body	80	nan