Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify38.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* (* z 2.0) z) (* y t))
21.7b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite16.0ms

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:

5.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series219.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
182.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

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

prune121.0ms

Filtered

49 candidates to 36 candidates (73.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.9b	(- (* (* z 2.0) z) (* y t))
5.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite23.0ms

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:

5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series263.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* (* z 2.0) z) (* y t))
176.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
52.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (49.0ms)

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

prune251.0ms

Filtered

105 candidates to 80 candidates (76.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
5.0b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
6.4b	(/ (* t y) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

5.0ms	(- (* 2.0 z) (/ (* t y) z))
8.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
4.0ms	(/ (* t y) z)

series219.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* 2.0 z) (/ (* t y) z))
162.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
21.0ms	(/ (* t y) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	386	558
1	1950	451
2	5001	451

prune166.0ms

Filtered

79 candidates to 54 candidates (68.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 z) (* t (/ y z)))
4.3b	(* t (/ y z))
5.0b	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

3.0ms	(- (* 2.0 z) (* t (/ y z)))
6.0ms	(* t (/ y z))
6.0ms	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))

series219.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* 2.0 z) (* t (/ y z)))
20.0ms	(* t (/ y z))
162.0ms	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	363	492
1	1723	431
2	5001	431

prune185.0ms

Filtered

84 candidates to 61 candidates (72.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

regimes83.0ms

Accuracy

0% (1.6b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample491.0ms

Algorithm

intervals

Results

299.0ms

8000×

body

valid