Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

311×

body

valid

simplify192.0ms

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

rewrite13.0ms

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:

10.0ms	(* (- y x) z)
3.0ms	(+ x (* (- y x) z))

series69.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y x) z)
37.0ms	(+ x (* (- y x) z))

simplify73.0ms

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

prune83.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
0.6b	(cbrt (+ x (* (- y x) z)))
0.6b	(cbrt (+ x (* (- y x) z)))
0.6b	(cbrt (+ x (* (- y x) z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

14.0ms	(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
2.0ms	(cbrt (+ x (* (- y x) z)))
2.0ms	(cbrt (+ x (* (- y x) z)))
2.0ms	(cbrt (+ x (* (- y x) z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
220.0ms	(cbrt (+ x (* (- y x) z)))
219.0ms	(cbrt (+ x (* (- y x) z)))
220.0ms	(cbrt (+ x (* (- y x) z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	329	1225
1	1102	1155
2	5001	1076

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ x (* (- y x) z))
3.0ms	(sqrt (+ x (* (- y x) z)))
7.0ms	(sqrt (+ x (* (- y x) z)))
15.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (* (- y x) z))
251.0ms	(sqrt (+ x (* (- y x) z)))
252.0ms	(sqrt (+ x (* (- y x) z)))
34.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	240	786
1	923	708
2	5001	682

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

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))

rewrite48.0ms

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))

series234.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (- y x))
31.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
92.0ms	(* (sqrt (- y x)) z)
33.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	365	624
1	1224	529
2	5002	516

prune216.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes76.0ms

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

sample674.0ms

Algorithm

intervals

Results

460.0ms

10096×

body

valid