Details

sample297.0ms

Algorithm

intervals

Results

22.0ms	869×	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: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite19.0ms

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:

17.0ms

(* (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 (17.0ms)

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

prune73.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (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:

16.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (17.0ms)

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

prune74.0ms

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

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (sqrt (- x 1.0)) (sqrt x)))
0.5b	(* (sqrt (- x 1.0)) (sqrt x))
0.5b	(* (sqrt (- x 1.0)) (sqrt x))
0.5b	(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
70×	`sqrt-pow1`
47×	`pow-prod-down`
38×	`add-sqr-sqrt`
33×	`pow1/2`
32×	`sqrt-div`
29×	`sqrt-prod`
20×	`-un-lft-identity` `associate-l` `associate-l/`
16×	`add-cube-cbrt` `associate-r`
14×	`pow-prod-up`
10×	`add-exp-log` `add-cbrt-cube`
9×	`flip3--` `flip--` `unswap-sqr`
8×	`pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 148

Calls

4 calls:

6.0ms	(sqrt (* (sqrt (- x 1.0)) (sqrt x)))
14.0ms	(* (sqrt (- x 1.0)) (sqrt x))
14.0ms	(* (sqrt (- x 1.0)) (sqrt x))
48.0ms	(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (* (sqrt (- x 1.0)) (sqrt x)))
64.0ms	(* (sqrt (- x 1.0)) (sqrt x))
65.0ms	(* (sqrt (- x 1.0)) (sqrt x))
65.0ms	(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))

simplify68.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	421	960
1	1862	890
2	5002	878

prune339.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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	13	6
1	13	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

562.0ms	23250×	body	80	nan
152.0ms	7990×	body	80	valid
0.0ms	10×	body	160	valid