Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

354×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
6.9b	(* (* (* y 9.0) z) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

4.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series286.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
162.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
22.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	306	456
1	1445	388
2	5001	388

prune248.0ms

Filtered

81 candidates to 55 candidates (67.9%)

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))))
0.3b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
6.9b	(* t (* z y))

rewrite25.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

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))
5.0ms	(* t (* z y))

series169.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
34.0ms	(* 9.0 (* t (* z y)))
21.0ms	(* 27.0 (* a b))
27.0ms	(* t (* z y))

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	315	429
1	1266	366
2	5002	366

prune258.0ms

Filtered

91 candidates to 56 candidates (61.5%)

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))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
0.2b	(* y (* 9.0 z))
6.9b	(* (* y (* 9.0 z)) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

4.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
5.0ms	(* y (* 9.0 z))
11.0ms	(* (* y (* 9.0 z)) t)

series295.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
172.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
19.0ms	(* y (* 9.0 z))
27.0ms	(* (* y (* 9.0 z)) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	303	456
1	1382	388
2	5001	388

prune253.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt 9.0) (* t (* z y)))
0.3b	(* 27.0 (* a b))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
6.9b	(* t (* z y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1` `add-exp-log`
38×	`add-cbrt-cube`
36×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`

Counts

4 → 102

Calls

4 calls:

8.0ms	(* (cbrt 9.0) (* t (* z y)))
5.0ms	(* 27.0 (* a b))
15.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
5.0ms	(* t (* z y))

series220.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (cbrt 9.0) (* t (* z y)))
21.0ms	(* 27.0 (* a b))
93.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
27.0ms	(* t (* z y))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	369	703
1	1510	513
2	5002	467

prune290.0ms

Filtered

114 candidates to 59 candidates (51.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

79.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch131.0ms

Steps

Iters	Range		Point
8	1.6387727949781042e+39	1.0645709139999181e+42	8.65412461778779e+39
6	-2.0846849047074458e-09	-1.750582812518093e-10	-1.7895231089566378e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	24
1	48	24

end0.0ms

sample837.0ms

Algorithm

intervals

Results

472.0ms

11112×

body

valid