Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

348×

body

valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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: 3.4b

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)
5.8b	(* (* (* y 9.0) z) t)

rewrite15.0ms

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:

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)

series238.0ms

Counts

3 → 9

Calls

3 calls:

185.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
26.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (13.0ms)

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

prune203.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
6.6b	(* (* y 9.0) (* z t))

rewrite9.0ms

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:

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

series219.0ms

Counts

2 → 6

Calls

2 calls:

188.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
31.0ms	(* (* y 9.0) (* z t))

simplify148.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (11.0ms)

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

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
6.5b	(* y (* 9.0 (* z t)))

rewrite15.0ms

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:

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

series234.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
19.0ms	(* 9.0 (* z t))
32.0ms	(* y (* 9.0 (* z t)))

simplify159.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (10.0ms)

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

prune204.0ms

Pruning

7 alts after pruning (6 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)
6.5b	(* y (* (* 9.0 z) t))

rewrite15.0ms

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:

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

series234.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
22.0ms	(* (* 9.0 z) t)
28.0ms	(* y (* (* 9.0 z) t))

simplify54.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (13.0ms)

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

prune181.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes787.0ms

Accuracy

76.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	18
1	46	18

end0.0ms

sample850.0ms

Algorithm

intervals

Results

471.0ms

11003×

body

valid