Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

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: 13.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* (* z 2.0) z) (* y t))
19.8b	(/ (* (* 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)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* (* z 2.0) z) (* y t))
186.0ms	(/ (* (* 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

prune136.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.9b	(- (* (* z 2.0) z) (* y t))
5.3b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.4b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite45.0ms

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))
15.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series276.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
184.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (51.0ms)

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

prune289.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 2 expressions with local error:

5.1b	(/ (* t y) z)
5.3b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite13.0ms

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:

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

series194.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (* t y) z)
171.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify34.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	265	322
1	1274	272
2	5002	272

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
3.8b	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
5.3b	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1/3` `associate-/r/`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `associate-/l`

Counts

4 → 112

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
35.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt z)
180.0ms	(cbrt z)
47.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
224.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	577	1106
1	3052	915
2	5002	867

prune545.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

regimes97.0ms

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

sample500.0ms

Algorithm

intervals

Results

300.0ms

8000×

body

valid