Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

348×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 3.7b

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)
0.4b	(* (* a 27.0) b)
5.8b	(* (* (* y 9.0) z) t)

rewrite47.0ms

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:

13.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* y 9.0) z)
6.0ms	(* (* a 27.0) b)
20.0ms	(* (* (* y 9.0) z) t)

series195.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
18.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

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

prune202.0ms

Pruning

9 alts after pruning (9 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)) (pow (* 27.0 (* a b)) 1))
0.2b	(* (* y 9.0) z)
0.2b	(* 27.0 (* a b))
5.8b	(* (* (* y 9.0) z) t)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

12.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
6.0ms	(* (* y 9.0) z)
6.0ms	(* 27.0 (* a b))
23.0ms	(* (* (* y 9.0) z) t)

series197.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
19.0ms	(* (* y 9.0) z)
19.0ms	(* 27.0 (* a b))
24.0ms	(* (* (* y 9.0) z) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	363	476
1	1731	399
2	5001	396

prune213.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (pow (* 27.0 (* a b)) 1))
0.2b	(* 27.0 (* a b))
6.6b	(* (* y 9.0) (* z t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l`
2×	`associate-+l+` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

3 → 56

Calls

3 calls:

12.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (pow (* 27.0 (* a b)) 1))
6.0ms	(* 27.0 (* a b))
9.0ms	(* (* y 9.0) (* z t))

series183.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (pow (* 27.0 (* a b)) 1))
22.0ms	(* 27.0 (* a b))
24.0ms	(* (* y 9.0) (* z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	328	413
1	1387	344
2	5002	341

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (pow (* 27.0 (* a b)) 1))
0.2b	(* 9.0 (* z t))
0.2b	(* 27.0 (* a b))
6.5b	(* y (* 9.0 (* z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

12.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (pow (* 27.0 (* a b)) 1))
5.0ms	(* 9.0 (* z t))
6.0ms	(* 27.0 (* a b))
15.0ms	(* y (* 9.0 (* z t)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (pow (* 27.0 (* a b)) 1))
16.0ms	(* 9.0 (* z t))
23.0ms	(* 27.0 (* a b))
24.0ms	(* y (* 9.0 (* z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	350	474
1	1484	397
2	5002	394

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes841.0ms

Accuracy

74.2% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	34
1	66	34
2	66	34

end0.0ms

sample813.0ms

Algorithm

intervals

Results

443.0ms

11003×

body

valid