Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize11.0ms

Local error

Found 2 expressions with local error:

1.0b	(- (* (* z 2.0) z) (* y t))
21.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `div-inv` `associate-/l*`

Counts

2 → 43

Calls

2 calls:

7.0ms	(- (* (* z 2.0) z) (* y t))
18.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series222.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
185.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	281	415
1	1422	344
2	5002	344

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 3 expressions with local error:

1.0b	(- (* (* z 2.0) z) (* y t))
3.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.3b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `prod-diff` `associate-/r/`

Counts

3 → 96

Calls

3 calls:

7.0ms	(- (* (* z 2.0) z) (* y t))
14.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series277.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* (* z 2.0) z) (* y t))
181.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	438	968
1	2164	856
2	5002	849

prune273.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 2 expressions with local error:

3.6b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
6.6b	(/ (* t y) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 48

Calls

2 calls:

9.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
6.0ms	(/ (* t y) z)

series189.0ms

Counts

2 → 6

Calls

2 calls:

169.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
20.0ms	(/ (* t y) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	265	322
1	1274	272
2	5001	272

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (* t y) z)
16.0b	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
16.0b	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
16.0b	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `associate-/r*` `flip--`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 83

Calls

4 calls:

3.0ms	(/ (* t y) z)
5.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
5.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
5.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))

series949.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* t y) z)
320.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
305.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
304.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	392	1079
1	1421	1021
2	5002	1009

prune384.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes85.0ms

Accuracy

0% (2.3b remaining)

Error of 2.8b against oracle of 0.6b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample511.0ms

Algorithm

intervals

Results

308.0ms

8000×

body

valid