Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

315×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

(- (* x y) (* z t))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(- (* x y) (* z t))

simplify72.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
109.0ms	(cbrt (- (* x y) (* z t)))
110.0ms	(cbrt (- (* x y) (* z t)))
115.0ms	(cbrt (- (* x y) (* z t)))

simplify98.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	313	1067
1	1066	1000
2	4165	924
3	5001	915

prune260.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))

rewrite10.0ms

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:

2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (- (* x y) (* z t)))
112.0ms	(cbrt (- (* x y) (* z t)))
113.0ms	(cbrt (- (* x y) (* z t)))
124.0ms	(cbrt (- (* x y) (* z t)))

simplify97.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (91.0ms)

Iter	Nodes	Cost
0	182	576
1	496	540
2	1453	516
3	3371	512
4	5001	504

prune282.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (+ (* x y) (* z t)))
2.9b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
29.5b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))
10.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
10.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (- (* x y) (* z t)))
106.0ms	(cbrt (+ (* x y) (* z t)))
105.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
118.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	372	679
1	1329	621
2	5001	600

prune251.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample800.0ms

Algorithm

intervals

Results

547.0ms

10434×

body

valid