Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify36.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize11.0ms

Local error

Found 2 expressions with local error:

1.0b	(- (* (* z 2.0) z) (* y t))
21.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

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

series220.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (37.0ms)

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

prune111.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 3 expressions with local error:

1.0b	(- (* (* z 2.0) z) (* y t))
3.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.3b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite41.0ms

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:

6.0ms	(- (* (* z 2.0) z) (* y t))
14.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series280.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* (* z 2.0) z) (* y t))
187.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	419	924
1	2054	814
2	5001	809

prune247.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 2 expressions with local error:

3.6b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
6.6b	(/ (* 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` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 44

Calls

2 calls:

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

series188.0ms

Counts

2 → 6

Calls

2 calls:

170.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
19.0ms	(/ (* t y) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	259	302
1	1258	253
2	5002	253

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (* t y) z)
16.0b	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
16.0b	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
16.0b	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(/ (* t y) z)
5.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
5.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
5.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))

series968.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* t y) z)
317.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
313.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
318.0ms	(cbrt (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	376	1031
1	1364	976
2	5001	967

prune359.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes83.0ms

Accuracy

0% (2.3b remaining)

Error of 2.8b against oracle of 0.5b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample521.0ms

Algorithm

intervals

Results

315.0ms

8000×

body

valid