Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

375×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.5b	(* (* a 27.0) b)
5.2b	(* (* (* y 9.0) z) t)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

30.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
18.0ms	(* (* a 27.0) b)
51.0ms	(* (* (* y 9.0) z) t)

series180.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
15.0ms	(* (* y 9.0) z)
17.0ms	(* (* a 27.0) b)
22.0ms	(* (* (* y 9.0) z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5002	383

prune185.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
0.2b	(* (* y 9.0) z)
0.3b	(* a (* 27.0 b))
5.2b	(* (* (* y 9.0) z) t)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

30.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
15.0ms	(* (* y 9.0) z)
14.0ms	(* a (* 27.0 b))
51.0ms	(* (* (* y 9.0) z) t)

series186.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
14.0ms	(* (* y 9.0) z)
17.0ms	(* a (* 27.0 b))
21.0ms	(* (* (* y 9.0) z) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	363	454
1	1770	382
2	5002	382

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
5.2b	(* (* (* y 9.0) z) t)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

17.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
16.0ms	(* (* y 9.0) z)
15.0ms	(* 27.0 (* a b))
52.0ms	(* (* (* y 9.0) z) t)

series125.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
15.0ms	(* (* y 9.0) z)
17.0ms	(* 27.0 (* a b))
23.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	319	384
1	1527	325
2	5002	325

prune169.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
5.2b	(* t (* z y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

19.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
39.0ms	(* 9.0 (* t (* z y)))
15.0ms	(* 27.0 (* a b))
15.0ms	(* t (* z y))

series134.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
24.0ms	(* 9.0 (* t (* z y)))
17.0ms	(* 27.0 (* a b))
25.0ms	(* t (* z y))

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	289	380
1	1155	321
2	5001	321

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes533.0ms

Accuracy

79.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.3b

bsearch136.0ms

Steps

Iters	Range		Point
10	4.6146224438185694e-48	1.879409519860102e-32	3.133670688265846e-34
9	-1.3931284355549332e+55	-4.158579503127051e+46	-1.692168027207219e+48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	24
1	56	24

end0.0ms

sample918.0ms

Algorithm

intervals

Results

430.0ms

11014×

body

valid