Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

361×

body

valid

simplify77.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* a 27.0) b)
0.5b	(* (* y 9.0) z)
6.3b	(* (* (* y 9.0) z) t)

rewrite38.0ms

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:

2.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
6.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series130.0ms

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)
28.0ms	(* (* (* y 9.0) z) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

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

prune180.0ms

Filtered

81 candidates to 48 candidates (59.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))
6.3b	(* (* y (* 9.0 z)) t)

rewrite34.0ms

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:

2.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
6.0ms	(* (* a 27.0) b)
6.0ms	(* y (* 9.0 z))
18.0ms	(* (* y (* 9.0 z)) t)

series132.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
20.0ms	(* (* a 27.0) b)
18.0ms	(* y (* 9.0 z))
27.0ms	(* (* y (* 9.0 z)) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	345	371
1	1692	309
2	5002	309

prune181.0ms

Filtered

81 candidates to 47 candidates (58.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.2b	(* (* a 27.0) b)
0.2b	(* 9.0 (* t (* z y)))
6.3b	(* t (* z y))

rewrite32.0ms

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-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
6.0ms	(* (* a 27.0) b)
15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series141.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	320	367
1	1386	305
2	5001	305

prune179.0ms

Filtered

81 candidates to 48 candidates (59.3%)

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	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
0.0b	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
0.2b	(* (* a 27.0) b)
6.4b	(* (* 9.0 t) (* z y))

rewrite31.0ms

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:

11.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
2.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
6.0ms	(* (* a 27.0) b)
9.0ms	(* (* 9.0 t) (* z y))

series260.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
70.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
19.0ms	(* (* a 27.0) b)
30.0ms	(* (* 9.0 t) (* z y))

simplify60.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	377	495
1	1789	438
2	5001	438

prune163.0ms

Filtered

79 candidates to 48 candidates (60.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

73.5% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 3.8b

bsearch79.0ms

Steps

Iters	Range		Point
5	1.6652869739009734e-66	3.53760840000151e-66	2.2903550836496052e-66
5	-2.499152755479291e-111	-7.027546383617713e-112	-2.0752154438644918e-111

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

end0.0ms

sample803.0ms

Algorithm

intervals

Results

446.0ms

10938×

body

valid