Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify34.0ms

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

localize10.0ms

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)))

rewrite64.0ms

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

series227.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* (* z 2.0) z) (* y t))
188.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (36.0ms)

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

prune96.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.5b

localize14.0ms

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)))

rewrite117.0ms

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)))))
18.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
15.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
16.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (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)))
127.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

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

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.5b

localize11.0ms

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)

rewrite100.0ms

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))
32.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
46.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series282.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* (* z 2.0) z) (* y t))
184.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (50.0ms)

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

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.8b

localize13.0ms

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

rewrite42.0ms

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:

9.0ms	(- (* 2.0 z) (/ (* t y) z))
9.0ms	(/ (* t y) z)
21.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* 2.0 z) (/ (* t y) z))
20.0ms	(/ (* t y) z)
172.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

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

prune138.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

regimes121.0ms

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	15	7
1	15	7

end0.0ms

sample574.0ms

Algorithm

intervals

Results

285.0ms

8000×

body

valid