Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	3

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

8.0ms

(* (+ x y) (- 1.0 z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (+ x y) (- 1.0 z))

simplify31.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	240	207
1	997	192
2	5001	190

prune46.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (* (neg z) (+ x y)))
0.0b	(* (neg z) (+ x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r/` `associate-l*`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-r` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in`
2×	`associate-+l+` `associate-+r+`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

6.0ms	(+ (* 1.0 (+ x y)) (* (neg z) (+ x y)))
7.0ms	(* (neg z) (+ x y))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* 1.0 (+ x y)) (* (neg z) (+ x y)))
9.0ms	(* (neg z) (+ x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	387	384
1	1802	333
2	5003	332

prune59.0ms

Filtered

45 candidates to 59 candidates (-31.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

9.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series130.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
30.0ms	(cbrt (+ x y))
31.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))

simplify117.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	284	746
1	846	709
2	3879	634
3	5002	621

prune101.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Merged error: 0b

Counts

109 → 2

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	19	6
2	24	6
3	24	6

end0.0ms

sample507.0ms

Algorithm

intervals

Results

233.0ms	10092×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample19.0ms

simplify55.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series7.0ms

simplify31.0ms

prune46.0ms

localize7.0ms

rewrite15.0ms

series20.0ms

simplify49.0ms

prune59.0ms

localize9.0ms

rewrite21.0ms

series130.0ms

simplify117.0ms

prune101.0ms

regimes191.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample507.0ms

Profiling