Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

341×

body

valid

simplify76.0ms

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: 3.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* a 27.0) b)
0.3b	(* (* y 9.0) z)
5.2b	(* (* (* 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`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
5.0ms	(* (* a 27.0) b)
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series129.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms	(* (* a 27.0) b)
16.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	348	371
1	1755	309
2	5001	309

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* (* a 27.0) b)
5.4b	(* (* y 9.0) (* z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
5.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) (* z t))

series250.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
63.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
21.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) (* z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	385	495
1	1778	438
2	5002	438

prune203.0ms

Pruning

8 alts after pruning (8 fresh and 0 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)))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* a (* 27.0 b))
5.4b	(* (* y 9.0) (* z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
5.0ms	(* a (* 27.0 b))
7.0ms	(* (* y 9.0) (* z t))

series251.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
68.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
19.0ms	(* a (* 27.0 b))
27.0ms	(* (* y 9.0) (* z t))

simplify53.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	376	494
1	1624	437
2	5002	437

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))) (* 27.0 (* a b)))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.3b	(* 27.0 (* a b))
5.4b	(* (* y 9.0) (* z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
7.0ms	(* 27.0 (* a b))
6.0ms	(* (* y 9.0) (* z t))

series244.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
65.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
18.0ms	(* 27.0 (* a b))
23.0ms	(* (* y 9.0) (* z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	371	494
1	1500	437
2	5001	437

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes495.0ms

Accuracy

87% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	20
1	50	20

end0.0ms

sample838.0ms

Algorithm

intervals

Results

463.0ms

10912×

body

valid