Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify35.0ms

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: 12.2b

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)))

rewrite70.0ms

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:

20.0ms	(- (* (* z 2.0) z) (* y t))
49.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series229.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* (* z 2.0) z) (* y t))
184.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

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

prune133.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize19.0ms

Local error

Found 4 expressions with local error:

6.4b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
22.2b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.2b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.2b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

69.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
17.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
17.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
17.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
123.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
123.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
130.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	448	1102
1	1520	984
2	5002	964

prune414.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.1b

localize22.0ms

Local error

Found 4 expressions with local error:

22.2b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.2b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.2b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.2b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

17.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
16.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
17.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
21.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
126.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
126.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
133.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	180	716
1	539	672
2	2091	664
3	5001	644

prune571.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.9b	(- (* (* z 2.0) z) (* y t))
7.2b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite106.0ms

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:

19.0ms	(- (* (* z 2.0) z) (* y t))
35.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
48.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series287.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* (* z 2.0) z) (* y t))
189.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
58.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (53.0ms)

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

prune275.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.9b

regimes112.0ms

Accuracy

0% (0.5b remaining)

Error of 2.7b against oracle of 2.2b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample587.0ms

Algorithm

intervals

Results

301.0ms

8000×

body

valid