Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify34.0ms

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

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)))

rewrite66.0ms

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:

18.0ms	(- (* (* z 2.0) z) (* y t))
47.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series229.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* (* z 2.0) z) (* y t))
186.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (36.0ms)

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

prune106.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize15.0ms

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)))

rewrite144.0ms

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:

65.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
29.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
29.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
19.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(/ (* 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)))
126.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
125.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

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

prune308.0ms

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)))

rewrite69.0ms

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` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

16.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
17.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
19.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
16.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
128.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
128.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
131.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	172	668
1	500	624
2	1867	616
3	5001	596

prune338.0ms

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)

rewrite102.0ms

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))
33.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
47.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series292.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* (* z 2.0) z) (* y t))
190.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
61.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (53.0ms)

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

prune239.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.9b

regimes109.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample580.0ms

Algorithm

intervals

Results

300.0ms

8000×

body

valid