Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

322×

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)

rewrite12.0ms

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))
9.0ms	(* (- y x) z)

series59.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* (- y x) z))
28.0ms	(* (- y x) z)

simplify66.0ms

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

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.6b	(- (* y y) (* x x))
10.0b	(* (- (* y y) (* x x)) z)
20.9b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

12.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.0ms	(- (* y y) (* x x))
9.0ms	(* (- (* y y) (* x x)) z)
9.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series174.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
30.0ms	(- (* y y) (* x x))
44.0ms	(* (- (* y y) (* x x)) z)
50.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	353	602
1	1718	523
2	5002	514

prune157.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- (* y y) (* x x)) (/ z (+ y x))))
2.6b	(- (* y y) (* x x))
32.7b	(* (- (* y y) (* x x)) (/ z (+ y x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`-un-lft-identity` `associate-r*`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
5×	`pow1`
4×	`associate-l`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`frac-times` `flip3-+` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `div-inv`

Counts

3 → 66

Calls

3 calls:

2.0ms	(+ x (* (- (* y y) (* x x)) (/ z (+ y x))))
2.0ms	(- (* y y) (* x x))
21.0ms	(* (- (* y y) (* x x)) (/ z (+ y x)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (* (- (* y y) (* x x)) (/ z (+ y x))))
30.0ms	(- (* y y) (* x x))
52.0ms	(* (- (* y y) (* x x)) (/ z (+ y x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	373	594
1	1828	535
2	5001	525

prune148.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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

sample410.0ms

Algorithm

intervals

Results

205.0ms

10142×

body

valid