Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	263×	body	80	nan
9.0ms	256×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

66.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
35.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series573.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
74.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
188.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms	(* 3.0 (* v v))

simplify89.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	809	1605
1	3621	1516
2	5001	1513

prune356.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

61.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
33.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
17.0ms	(* 3.0 (* v v))

series562.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
75.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
163.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
24.0ms	(* 3.0 (* v v))

simplify92.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	866	1771
1	3686	1675
2	5002	1674

prune369.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(+ (* (sqrt (- 1.0 (* 3.0 (* v v)))) 1.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (* v v))))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `sqrt-div`
8×	`associate-*l/`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--`
4×	`frac-add`
3×	`sqrt-prod`
2×	`associate-r` `*-commutative` `distribute-rgt-neg-out` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 71

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
19.0ms	(+ (* (sqrt (- 1.0 (* 3.0 (* v v)))) 1.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (* v v))))
16.0ms	(* 3.0 (* v v))
20.0ms	(* 3.0 (* v v))

series348.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
232.0ms	(+ (* (sqrt (- 1.0 (* 3.0 (* v v)))) 1.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (* v v))))
23.0ms	(* 3.0 (* v v))
26.0ms	(* 3.0 (* v v))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	433	767
1	1662	665
2	5001	635

prune237.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	30	16
2	31	16
3	31	16

end0.0ms

sample815.0ms

Algorithm

intervals

Results

291.0ms	8422×	body	80	nan
284.0ms	8000×	body	80	valid