Details

sample279.0ms

Algorithm

intervals

Results

20.0ms	824×	body	80	nan
5.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

15.0ms

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

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	181	216
1	610	206
2	2471	201
3	5002	201

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b	(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

52×	`sqrt-prod`
34×	`add-sqr-sqrt`
20×	`pow1`
18×	`-un-lft-identity` `associate-r*`
16×	`add-cube-cbrt`
13×	`sqrt-pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down`
9×	`pow1/2` `associate-l`
6×	`associate-*l/` `unswap-sqr`
4×	`rem-sqrt-square` `sqrt-div` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
30.0ms	(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
16.0ms	(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (sqrt x))
134.0ms	(sqrt (sqrt x))
64.0ms	(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
140.0ms	(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	472	775
1	1749	702
2	5001	672

prune219.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

573.0ms	24295×	body	80	nan
149.0ms	7991×	body	80	valid
0.0ms	9×	body	160	valid