Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

360×

body

valid

simplify102.0ms

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: 3.9b

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)))
0.3b	(* (* y 9.0) z)
4.4b	(* (* (* y 9.0) z) t)

rewrite35.0ms

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:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
23.0ms	(* (* (* y 9.0) z) t)

series279.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
160.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
18.0ms	(* (* y 9.0) z)
30.0ms	(* (* (* 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

prune250.0ms

Filtered

81 candidates to 55 candidates (67.9%)

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	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.3b	(* 27.0 (* a b))
0.3b	(* 9.0 (* t (* z y)))
4.4b	(* t (* z y))

rewrite37.0ms

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:

7.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
6.0ms	(* 27.0 (* a b))
15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series163.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
21.0ms	(* 27.0 (* a b))
30.0ms	(* 9.0 (* t (* z y)))
30.0ms	(* t (* z y))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

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

prune250.0ms

Filtered

91 candidates to 56 candidates (61.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 x (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
0.0b	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.3b	(* 27.0 (* a b))
4.4b	(* (* 9.0 t) (* z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma 2.0 x (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
7.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
6.0ms	(* 27.0 (* a b))
10.0ms	(* (* 9.0 t) (* z y))

series284.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(fma 2.0 x (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
83.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
24.0ms	(* 27.0 (* a b))
30.0ms	(* (* 9.0 t) (* z y))

simplify61.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	323	476
1	1395	407
2	5001	406

prune223.0ms

Filtered

82 candidates to 52 candidates (63.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
0.3b	(* 9.0 (* t (* z y)))
0.3b	(* (sqrt 27.0) (* a b))
4.4b	(* t (* z y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

20.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
15.0ms	(* 9.0 (* t (* z y)))
11.0ms	(* (sqrt 27.0) (* a b))
6.0ms	(* t (* z y))

series185.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
29.0ms	(* 9.0 (* t (* z y)))
49.0ms	(* (sqrt 27.0) (* a b))
26.0ms	(* t (* z y))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	316	457
1	1313	362
2	5001	362

prune275.0ms

Filtered

104 candidates to 61 candidates (58.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes646.0ms

Accuracy

65.8% (1.1b remaining)

Error of 1.2b 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	44	18
1	44	18

end0.0ms

sample839.0ms

Algorithm

intervals

Results

451.0ms

11037×

body

valid