Details

sample21.0ms

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	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize15.0ms

Local error

Found 2 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
18.2b	(/ (* (* 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` `flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

2 → 37

Calls

2 calls:

6.0ms	(- (* (* z 2.0) z) (* y t))
17.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series242.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
205.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	265	383
1	1370	314
2	5002	313

prune102.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
20.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
20.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
20.3b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite44.0ms

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` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `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 → 68

Calls

4 calls:

22.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
6.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
125.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
121.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
124.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	436	1040
1	1466	920
2	5001	905

prune311.0ms

Filtered

80 candidates to 67 candidates (83.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 3 expressions with local error:

1.1b	(- (* (* z 2.0) z) (* y t))
3.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
14.9b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite42.0ms

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`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-/r/`

Counts

3 → 88

Calls

3 calls:

7.0ms	(- (* (* z 2.0) z) (* y t))
15.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series285.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* (* z 2.0) z) (* y t))
187.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	419	924
1	2101	814
2	5001	809

prune241.0ms

Filtered

97 candidates to 72 candidates (74.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
3.8b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
4.6b	(/ (* t y) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

4.0ms	(- (* 2.0 z) (/ (* t y) z))
8.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
3.0ms	(/ (* t y) z)

series236.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* 2.0 z) (/ (* t y) z))
173.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
19.0ms	(/ (* t y) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	279	405
1	1329	347
2	5001	347

prune135.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes84.0ms

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.6b 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

sample524.0ms

Algorithm

intervals

Results

311.0ms

8000×

body

valid