Details

sample46.0ms

Algorithm

intervals

Results

27.0ms

367×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
9.1b	(* (* (* y 9.0) z) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
20.0ms	(* (* (* y 9.0) z) t)

series192.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
16.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	225	316
1	1077	256
2	5001	256

prune162.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
4.0b	(* (* y 9.0) (* z t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `associate-l` `*-commutative` `fma-udef`

Counts

2 → 34

Calls

2 calls:

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

series173.0ms

Counts

2 → 6

Calls

2 calls:

149.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
24.0ms	(* (* y 9.0) (* z t))

simplify126.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	186	247
1	744	195
2	4128	195
3	5001	195

prune109.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
0.2b	(* 9.0 (* z t))
3.9b	(* y (* 9.0 (* z t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
6.0ms	(* 9.0 (* z t))
17.0ms	(* y (* 9.0 (* z t)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
17.0ms	(* 9.0 (* z t))
25.0ms	(* y (* 9.0 (* z t)))

simplify134.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	210	314
1	836	254
2	4494	254
3	5002	254

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
0.2b	(* (* 9.0 z) t)
3.9b	(* y (* (* 9.0 z) t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

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

series192.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
16.0ms	(* (* 9.0 z) t)
25.0ms	(* y (* (* 9.0 z) t))

simplify44.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	223	316
1	1047	256
2	5001	256

prune156.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes739.0ms

Accuracy

82.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	23
1	47	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

783.0ms

11076×

body

valid