Details

sample47.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
17.0ms	243×	body	80	nan

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
31.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
21.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series592.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
296.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
197.0ms	(* (/ (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

prune345.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(* (pow v 2) (+ (pow v 2) 1.0))
0.1b	(pow (* v v) 3)
0.2b	(* 3.0 (* v v))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`pow1`
19×	`add-exp-log`
17×	`associate-l`
16×	`add-cbrt-cube`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`associate-r`
10×	`sqrt-prod`
9×	`unswap-sqr`
8×	`prod-exp`
7×	`pow-prod-down`
6×	`pow-pow` `cbrt-unprod`
5×	`unpow-prod-down`
4×	`associate-*r/` `add-log-exp`
3×	`pow-unpow` `pow-exp` `*-commutative` `sqr-pow`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `sqrt-div` `unpow2` `rem-cube-cbrt`
1×	`pow2` `distribute-rgt-in` `cube-mult` `flip3--` `distribute-lft-in` `flip3-+` `pow-plus` `sqrt-unprod` `unpow3` `cube-prod` `pow-sqr` `pow-prod-up` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

11.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* (pow v 2) (+ (pow v 2) 1.0))
2.0ms	(pow (* v v) 3)
6.0ms	(* 3.0 (* v v))

series278.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
69.0ms	(* (pow v 2) (+ (pow v 2) 1.0))
45.0ms	(pow (* v v) 3)
24.0ms	(* 3.0 (* v v))

simplify82.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	499	627
1	2418	581
2	5002	579

prune370.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* v v) 3)
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
1.0b	(* (sqrt (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

87×	`pow1`
60×	`sqrt-pow1`
45×	`pow-prod-down`
26×	`pow1/2`
24×	`sqrt-div`
19×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt` `pow-prod-up`
14×	`associate-*r/`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
9×	`pow-sqr`
8×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `pow-pow` `associate-r` `flip--`
4×	`frac-times` `swap-sqr` `sqrt-prod` `add-log-exp`
3×	`pow-unpow` `*-commutative` `unswap-sqr`
2×	`pow2` `pow-plus` `associate-*l/` `pow-exp` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `sqrt-unprod` `unpow3` `cube-prod` `rem-square-sqrt` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

2.0ms	(pow (* v v) 3)
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))
37.0ms	(* (sqrt (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow (* v v) 3)
24.0ms	(* 3.0 (* v v))
31.0ms	(* 3.0 (* v v))
148.0ms	(* (sqrt (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	400	881
1	1813	724
2	5001	708

prune386.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

590.0ms	8000×	body	80	valid
576.0ms	8041×	body	80	nan