Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
19.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite71.0ms

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:

20.0ms	(- (* (* z 2.0) z) (* y t))
50.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series214.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* (* z 2.0) z) (* y t))
174.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (36.0ms)

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

prune111.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.5b

localize15.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite127.0ms

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:

70.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
19.0ms	(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)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
124.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
118.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
119.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

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

prune323.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
5.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0b	(/ (- (* (* 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`
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:

19.0ms	(- (* (* z 2.0) z) (* y t))
37.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
46.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series268.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* (* z 2.0) z) (* y t))
178.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

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

prune264.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
5.4b	(/ (* t y) z)
5.8b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

10.0ms	(- (* 2.0 z) (/ (* t y) z))
10.0ms	(/ (* t y) z)
27.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series224.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* 2.0 z) (/ (* t y) z))
18.0ms	(/ (* t y) z)
168.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	346	437
1	1782	351
2	5001	351

prune142.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

regimes130.0ms

Accuracy

0% (1.7b remaining)

Error of 2.3b against oracle of 0.6b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample583.0ms

Algorithm

intervals

Results

287.0ms

8000×

body

valid