Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

343×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	20	3
2	24	3
3	24	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

3.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify79.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	103	92
1	359	83
2	1102	83
3	2617	80
4	5002	80

prune44.0ms

Filtered

19 candidates to 16 candidates (84.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* t z))
0.4b	(pow (- (* x y) (* t z)) 3)
32.6b	(cbrt (pow (- (* x y) (* t z)) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `flip--` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `fma-neg` `pow1/3` `diff-log` `prod-diff` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 68

Calls

3 calls:

3.0ms	(- (* x y) (* t z))
4.0ms	(pow (- (* x y) (* t z)) 3)
5.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

series221.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* x y) (* t z))
139.0ms	(pow (- (* x y) (* t z)) 3)
42.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	270	465
1	1148	436
2	5001	430

prune152.0ms

Filtered

77 candidates to 49 candidates (63.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
0.3b	(pow (* x y) 3)
1.6b	(- (pow (* x y) 3) (pow (* z t) 3))
34.2b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (fma (* t z) (fma x y (* z t)) (* (* x y) (* x y))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

64×	`prod-diff`
56×	`add-sqr-sqrt`
46×	`pow1` `*-un-lft-identity`
38×	`sqr-pow`
36×	`add-cube-cbrt`
27×	`times-frac`
21×	`add-exp-log` `add-cbrt-cube`
20×	`difference-of-squares`
18×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `pow-prod-down`
9×	`prod-exp` `cbrt-unprod` `associate-/l*`
8×	`fma-neg`
6×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*`
2×	`flip3--` `pow-pow` `pow-plus` `pow-exp` `flip--` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow2` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 208

Calls

4 calls:

10.0ms	(* (* x y) (* x y))
2.0ms	(pow (* x y) 3)
14.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
30.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (fma (* t z) (fma x y (* z t)) (* (* x y) (* x y))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x y) (* x y))
46.0ms	(pow (* x y) 3)
209.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
127.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (fma (* t z) (fma x y (* z t)) (* (* x y) (* x y))))

simplify138.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	632	2452
1	2809	2174
2	5001	2170

prune442.0ms

Filtered

220 candidates to 105 candidates (47.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes129.0ms

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

sample468.0ms

Algorithm

intervals

Results

220.0ms

10493×

body

valid