Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

348×

body

valid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize14.0ms

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)
6.9b	(* (* (* y 9.0) z) t)

rewrite38.0ms

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)
26.0ms	(* (* (* y 9.0) z) t)

series293.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
168.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
29.0ms	(* (* (* y 9.0) z) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (14.0ms)

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

prune259.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 x (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
6.9b	(* t (* z y))

rewrite34.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

0.0ms	(fma 2.0 x (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
19.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

series244.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(fma 2.0 x (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
31.0ms	(* 9.0 (* t (* z y)))
22.0ms	(* 27.0 (* a b))
29.0ms	(* t (* z y))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	267	384
1	1037	311
2	5001	311

prune226.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
0.2b	(* (* a 27.0) b)
0.3b	(* (* y 9.0) z)
6.9b	(* (* (* y 9.0) z) t)

rewrite42.0ms

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
6.0ms	(* (* a 27.0) b)
7.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

series138.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
25.0ms	(* (* a 27.0) b)
19.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify73.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	371	417
1	1863	351
2	5001	351

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 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))))
5.9b	(* (* y 9.0) (* z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 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))))
10.0ms	(* (* y 9.0) (* z t))

series253.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
156.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
27.0ms	(* (* y 9.0) (* z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	273	387
1	1166	328
2	5002	327

prune162.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes585.0ms

Accuracy

85.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	18
1	46	18

end0.0ms

sample857.0ms

Algorithm

intervals

Results

468.0ms

11065×

body

valid