Details

sample287.0ms

Algorithm

intervals

Results

19.0ms	793×	body	80	nan
5.0ms	256×	body	80	valid

simplify8.0ms

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

localize7.0ms

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))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify76.0ms

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

prune72.0ms

Pruning

3 alts after pruning (3 fresh and 0 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

prune6.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))
0.5b	(cbrt (sqrt (- x 1.0)))
0.5b	(cbrt (sqrt (- x 1.0)))
0.5b	(cbrt (sqrt (- x 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
58×	`add-sqr-sqrt`
47×	`sqrt-prod`
42×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`cbrt-div` `sqrt-div`
15×	`swap-sqr`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `unswap-sqr`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

24.0ms	(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))
3.0ms	(cbrt (sqrt (- x 1.0)))
3.0ms	(cbrt (sqrt (- x 1.0)))
3.0ms	(cbrt (sqrt (- x 1.0)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))
118.0ms	(cbrt (sqrt (- x 1.0)))
119.0ms	(cbrt (sqrt (- x 1.0)))
122.0ms	(cbrt (sqrt (- x 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	357	1315
1	1174	1244
2	5002	1147

prune324.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

30.7b

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*l/`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

4.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify166.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	111	74
1	281	69
2	983	68
3	3763	66
4	5001	66

prune28.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.4b 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	12	4
1	12	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

560.0ms	23983×	body	80	nan
152.0ms	7997×	body	80	valid
0.0ms	3×	body	160	valid