Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	273×	body	80	nan
9.0ms	256×	body	80	valid

simplify61.0ms

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

localize11.0ms

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)))))
0.1b	(* 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:

35.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series621.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
81.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
207.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify95.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (73.0ms)

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

prune372.0ms

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	(+ (* 1.5 (/ (pow v 2) (sqrt 1.0))) (* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))
0.0b	(* (/ (sqrt 2.0) 4.0) (- (sqrt 1.0) (+ (* 1.5 (/ (pow v 2) (sqrt 1.0))) (* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))))
0.1b	(* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3)))
0.1b	(* 1.5 (/ (pow v 2) (sqrt 1.0)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

220×	`times-frac`
202×	`add-sqr-sqrt`
188×	`associate-r`
128×	`unpow-prod-down`
123×	`*-un-lft-identity`
121×	`add-cube-cbrt`
87×	`sqrt-prod`
48×	`cube-prod`
42×	`add-exp-log` `sqr-pow`
31×	`unswap-sqr`
28×	`associate-l`
19×	`add-cbrt-cube`
16×	`prod-exp`
13×	`div-exp`
10×	`pow1`
8×	`unpow2`
7×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
6×	`associate-*r/` `cbrt-unprod` `add-log-exp`
3×	`cbrt-undiv` `pow-prod-down` `*-commutative` `div-inv`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `flip--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-*l/` `frac-add` `sum-log` `flip-+` `distribute-lft-out--`

Counts

4 → 319

Calls

4 calls:

9.0ms	(+ (* 1.5 (/ (pow v 2) (sqrt 1.0))) (* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))
98.0ms	(* (/ (sqrt 2.0) 4.0) (- (sqrt 1.0) (+ (* 1.5 (/ (pow v 2) (sqrt 1.0))) (* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))))
51.0ms	(* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3)))
21.0ms	(* 1.5 (/ (pow v 2) (sqrt 1.0)))

series830.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(+ (* 1.5 (/ (pow v 2) (sqrt 1.0))) (* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))
320.0ms	(* (/ (sqrt 2.0) 4.0) (- (sqrt 1.0) (+ (* 1.5 (/ (pow v 2) (sqrt 1.0))) (* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3))))))
135.0ms	(* 1.125 (/ (pow v 4) (pow (sqrt 1.0) 3)))
74.0ms	(* 1.5 (/ (pow v 2) (sqrt 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

331 → 331

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1292	3048
1	5001	2703

prune923.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(sqrt (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* v v)))
0.1b	(* 3.0 (* v v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
25×	`associate-l` `sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
8×	`sqrt-div`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `pow-prod-down` `flip--` `add-log-exp`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `difference-of-squares`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 103

Calls

4 calls:

18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(sqrt (- 1.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* v v)))
11.0ms	(* 3.0 (* v v))

series361.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
63.0ms	(sqrt (- 1.0 (* v v)))
65.0ms	(sqrt (- 1.0 (* v v)))
25.0ms	(* 3.0 (* v v))

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	532	906
1	1919	871
2	5001	863

prune348.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	18
1	30	18

end0.0ms

sample731.0ms

Algorithm

intervals

Results

279.0ms	8140×	body	80	nan
279.0ms	8000×	body	80	valid