Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
19.0ms	241×	body	80	nan

simplify880.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
22×	`times-frac` `add-cube-cbrt`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
12×	`associate-r`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`

Counts

4 → 133

Calls

4 calls:

Slowest

51.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
25.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
13.0ms	(* 3 (* v v))
7.0ms	(sqrt (- 1 (* 3 (* v v))))

series703.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

369.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
220.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
78.0ms	(sqrt (- 1 (* 3 (* v v))))
35.0ms	(* 3 (* v v))

simplify502.0ms

Counts: 168 → 145

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

3.9b	(log (exp (* 3 (* v v))))
0.2b	(* 3 (* v v))
0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))
0.0b	(sqrt (- 1 (log (exp (* 3 (* v v))))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`sqrt-prod`
25×	`associate-l`
22×	`times-frac` `add-cube-cbrt`
15×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
11×	`associate-r`
7×	`unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `log-pow` `cbrt-unprod` `add-log-exp`
4×	`pow-prod-down` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`log-prod` `flip3--` `flip--`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `exp-prod` `sqrt-pow1` `exp-to-pow` `pow1/2` `div-exp` `rem-log-exp` `associate-*l/` `div-inv`

Counts

4 → 112

Calls

4 calls:

Slowest

53.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))
25.0ms	(* 3 (* v v))
12.0ms	(sqrt (- 1 (log (exp (* 3 (* v v))))))
4.0ms	(log (exp (* 3 (* v v))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

227.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (log (exp (* 3 (* v v)))))))
81.0ms	(sqrt (- 1 (log (exp (* 3 (* v v))))))
45.0ms	(* 3 (* v v))
27.0ms	(log (exp (* 3 (* v v))))

simplify771.0ms

Counts: 140 → 124

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (sqrt 2) 4))))
0.2b	(* (* v v) 3)
0.0b	(sqrt (- 1 (* (* v v) 3)))
0.0b	(* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (sqrt 2) 4)))) (- 1 (* v v)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-div`
58×	`frac-times`
34×	`sqrt-prod`
31×	`associate-*l/`
30×	`associate-*r/`
29×	`flip3--` `flip--`
27×	`pow1` `associate-l`
24×	`add-sqr-sqrt`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`times-frac`
16×	`pow-prod-down`
12×	`prod-exp` `cbrt-unprod`
9×	`associate-r`
4×	`sqrt-pow1` `pow1/2` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-unprod` `difference-of-squares`
1×	`rem-sqrt-square` `div-inv` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

Slowest

168.0ms	(* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (sqrt 2) 4)))) (- 1 (* v v)))
52.0ms	(* (sqrt (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (sqrt 2) 4))))
17.0ms	(* (* v v) 3)
4.0ms	(sqrt (- 1 (* (* v v) 3)))

series729.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

349.0ms	(* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (sqrt 2) 4)))) (- 1 (* v v)))
248.0ms	(* (sqrt (/ (sqrt 2) 4)) (* (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (sqrt 2) 4))))
98.0ms	(sqrt (- 1 (* (* v v) 3)))
35.0ms	(* (* v v) 3)

simplify519.0ms

Counts: 198 → 166

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
1.2s	8073×	body	80	nan