Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify32.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize13.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (* (* z 2.0) z) (* y t))
18.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite15.0ms

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:

4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series214.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* (* z 2.0) z) (* y t))
179.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (35.0ms)

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

prune110.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.0b

localize14.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
24.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
24.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
24.1b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite30.0ms

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:

15.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series588.0ms

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)))))
118.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
120.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
121.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

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

prune306.0ms

Filtered

80 candidates to 67 candidates (83.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 3 expressions with local error:

1.2b	(- (* (* z 2.0) z) (* y t))
4.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite22.0ms

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:

4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series268.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* (* z 2.0) z) (* y t))
179.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
53.0ms	(/ (- (* (* 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	2101	814
2	5001	809

prune245.0ms

Filtered

97 candidates to 72 candidates (74.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 2 expressions with local error:

4.6b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
5.4b	(/ (* t y) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

9.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
4.0ms	(/ (* t y) z)

series186.0ms

Counts

2 → 6

Calls

2 calls:

167.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
18.0ms	(/ (* t y) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	323	334
1	1704	257
2	5002	257

prune99.0ms

Filtered

52 candidates to 31 candidates (59.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (1.0b remaining)

Error of 1.4b against oracle of 0.5b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	13
1	25	13
2	25	13

end0.0ms

sample530.0ms

Algorithm

intervals

Results

313.0ms

8000×

body

valid