Details

sample30.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify37.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* (* z 2.0) z) (* y t))
21.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite29.0ms

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

series227.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
190.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

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

prune125.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b	(- (* (* z 2.0) z) (* y t))
5.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite44.0ms

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:

9.0ms	(- (* (* z 2.0) z) (* y t))
14.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series272.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* (* z 2.0) z) (* y t))
182.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
52.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (49.0ms)

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

prune266.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.2b

localize11.0ms

Local error

Found 2 expressions with local error:

5.6b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
5.9b	(/ (* t y) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

8.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
3.0ms	(/ (* t y) z)

series201.0ms

Counts

2 → 6

Calls

2 calls:

182.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
19.0ms	(/ (* t y) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	329	356
1	1712	278
2	5003	278

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.2b

localize11.0ms

Local error

Found 2 expressions with local error:

3.7b	(* t (/ y z))
5.6b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
19×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`prod-exp`
7×	`div-exp`
6×	`cbrt-unprod`
5×	`cbrt-undiv`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`expm1-log1p-u` `1-exp` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l*`

Counts

2 → 61

Calls

2 calls:

7.0ms	(* t (/ y z))
7.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

series191.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* t (/ y z))
172.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	404
1	1954	326
2	5002	326

prune135.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.2b

regimes77.0ms

Accuracy

0% (1.9b remaining)

Error of 2.5b against oracle of 0.5b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	22	8
2	22	8

end0.0ms

sample803.0ms

Algorithm

intervals

Results

593.0ms

8000×

body

valid