Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

356×

body

valid

simplify81.0ms

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: 2.9b

localize13.0ms

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)
6.4b	(* (* (* y 9.0) z) t)

rewrite26.0ms

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:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* y 9.0) z)
5.0ms	(* (* a 27.0) b)
10.0ms	(* (* (* y 9.0) z) t)

series197.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune197.0ms

Pruning

9 alts after pruning (9 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))
6.4b	(* (* (* y 9.0) z) t)

rewrite22.0ms

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:

4.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
5.0ms	(* (* y 9.0) z)
5.0ms	(* 27.0 (* a b))
6.0ms	(* (* (* y 9.0) z) t)

series135.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
16.0ms	(* (* y 9.0) z)
19.0ms	(* 27.0 (* a b))
26.0ms	(* (* (* y 9.0) z) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

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

prune189.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))
6.4b	(* t (* z y))

rewrite24.0ms

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:

5.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
7.0ms	(* 9.0 (* t (* z y)))
5.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

series152.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
27.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* 27.0 (* a b))
29.0ms	(* t (* z y))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

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

prune215.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))
6.4b	(* (* (* y 9.0) z) t)

rewrite23.0ms

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:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
5.0ms	(* (* y 9.0) z)
4.0ms	(* a (* 27.0 b))
6.0ms	(* (* (* y 9.0) z) t)

series277.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
16.0ms	(* (* y 9.0) z)
19.0ms	(* a (* 27.0 b))
27.0ms	(* (* (* y 9.0) z) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (15.0ms)

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

prune275.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes736.0ms

Accuracy

86.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	20
1	44	20

end0.0ms

sample882.0ms

Algorithm

intervals

Results

489.0ms

10921×

body

valid