Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify176.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) z))
0.0b	(* (- y x) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* (- y x) z))
6.0ms	(* (- y x) z)

series60.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* (- y x) z))
28.0ms	(* (- y x) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	162
1	556	145
2	2758	145
3	5001	145

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b	(* (- y x) (sqrt z))
0.2b	(* (* (- y x) (sqrt z)) (sqrt z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
7.0ms	(* (- y x) (sqrt z))
9.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

series128.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
48.0ms	(* (- y x) (sqrt z))
35.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify36.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	281	412
1	1147	342
2	5002	328

prune122.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(sqrt (+ x (* (- y x) z)))
0.0b	(sqrt (+ x (* (- y x) z)))
0.2b	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* (- y x) z)
5.0ms	(sqrt (+ x (* (- y x) z)))
2.0ms	(sqrt (+ x (* (- y x) z)))
9.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- y x) z)
223.0ms	(sqrt (+ x (* (- y x) z)))
229.0ms	(sqrt (+ x (* (- y x) z)))
29.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	293	812
1	1144	720
2	5002	693

prune213.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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	8	3
1	8	3

end0.0ms

sample431.0ms

Algorithm

intervals

Results

213.0ms

10091×

body

valid