Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

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: 13.4b

localize11.0ms

Local error

Found 2 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
21.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite25.0ms

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

series258.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (* (* z 2.0) z) (* y t))
206.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

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

prune138.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow z 2))
1.1b	(- (* 2.0 (pow z 2)) (* t y))
5.8b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`add-exp-log` `associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
9×	`pow1` `prod-exp`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `associate-l` `associate-/r/` `log1p-expm1-u` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r` `flip--` `associate-/l`
2×	`*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `associate-*r/` `prod-diff` `pow-exp` `clear-num`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* 2.0 (pow z 2))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
17.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 2.0 (pow z 2))
43.0ms	(- (* 2.0 (pow z 2)) (* t y))
211.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
54.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	433	877
1	2208	755
2	5001	753

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.2b

localize21.0ms

Local error

Found 4 expressions with local error:

14.1b	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
19.7b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

9.0ms	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
54.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
50.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
56.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	361	1077
1	1191	990
2	5001	984

prune488.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 3 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
6.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.7b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite46.0ms

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))
19.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series498.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* (* z 2.0) z) (* y t))
403.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (57.0ms)

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

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.3b

regimes107.0ms

Accuracy

0% (0.7b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample503.0ms

Algorithm

intervals

Results

303.0ms

8000×

body

valid