Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite16.0ms

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:

2.0ms	(+ x (* (- y x) z))
13.0ms	(* (- y x) z)

series60.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* (- y x) z))
30.0ms	(* (- y x) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

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

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.2b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
1.7b	(sqrt (* (- y x) z))
1.7b	(sqrt (* (- y x) z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

10.0ms	(* (- y x) z)
28.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
4.0ms	(sqrt (* (- y x) z))
4.0ms	(sqrt (* (- y x) z))

series570.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- y x) z)
60.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
237.0ms	(sqrt (* (- y x) z))
238.0ms	(sqrt (* (- y x) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	257	515
1	1117	463
2	5002	440

prune215.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- y x))
2.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
11.0ms	(* (sqrt (- y x)) z)
24.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series216.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (- y x))
29.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
84.0ms	(* (sqrt (- y x)) z)
33.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	365	625
1	1224	529
2	5002	516

prune202.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b	(sqrt (* (- y x) z))
2.3b	(cbrt (* (- y x) z))
2.3b	(cbrt (* (- y x) z))
2.3b	(cbrt (* (- y x) z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*l/`
7×	`pow1`
6×	`cbrt-div`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`sqrt-pow1` `sqrt-div`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 46

Calls

4 calls:

4.0ms	(sqrt (* (- y x) z))
3.0ms	(cbrt (* (- y x) z))
3.0ms	(cbrt (* (- y x) z))
4.0ms	(cbrt (* (- y x) z))

series659.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(sqrt (* (- y x) z))
139.0ms	(cbrt (* (- y x) z))
143.0ms	(cbrt (* (- y x) z))
142.0ms	(cbrt (* (- y x) z))

simplify67.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	253	412
1	694	382
2	2434	367
3	5001	364

prune220.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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

sample392.0ms

Algorithm

intervals

Results

197.0ms

10110×

body

valid