Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	250×	body	80	nan

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	3
1	11	3
2	13	3
3	13	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`

Counts

1 → 18

Calls

1 calls:

7.0ms

(sqrt (- 1.0 (* x x)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(sqrt (- 1.0 (* x x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	165	131
1	568	128
2	2782	126
3	5001	123

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
0.0b	(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
0.1b	(pow (* x x) 3)
0.1b	(* (* x x) (* x x))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

222×	`sqrt-prod`
181×	`add-sqr-sqrt`
144×	`times-frac`
123×	`pow1`
112×	`difference-of-squares`
83×	`*-un-lft-identity`
69×	`add-cube-cbrt`
57×	`unpow-prod-down` `cube-prod` `sqr-pow`
37×	`pow-prod-up`
24×	`pow-prod-down` `associate-/l*`
23×	`pow-sqr`
21×	`add-exp-log` `add-cbrt-cube`
19×	`pow-plus`
14×	`pow2`
9×	`prod-exp` `cbrt-unprod`
7×	`difference-cubes` `distribute-lft-out--`
6×	`pow-pow` `associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u`
3×	`pow-unpow`
2×	`flip3-+` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sqrt-undiv` `distribute-rgt-out` `flip3--` `fma-def` `frac-2neg` `unpow3` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 301

Calls

4 calls:

165.0ms	(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
31.0ms	(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
6.0ms	(pow (* x x) 3)
28.0ms	(* (* x x) (* x x))

series304.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
85.0ms	(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
47.0ms	(pow (* x x) 3)
31.0ms	(* (* x x) (* x x))

simplify121.0ms

Algorithm

egg-herbie

Counts

313 → 313

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	712	5838
1	2742	5474
2	5001	5381

prune616.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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	18	15
1	18	15

end0.0ms

sample473.0ms

Algorithm

intervals

Results

132.0ms	8000×	body	80	valid
118.0ms	8045×	body	80	nan