Details

analyze277.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) y)
8.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify103.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune49.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite34.0ms

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:

15.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
36.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
40.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
37.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	377	1497
1	1218	1418
2	5001	1326

prune240.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite25.0ms

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:

6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
38.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
37.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
39.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	209	892
1	590	848
2	2277	824
3	5001	824

prune541.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.0b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
11.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
6.0ms	(* (sqrt (- 1.0 x)) y)
11.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
8.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
12.0ms	(* (sqrt (- 1.0 x)) y)
5.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	470	683
1	1699	607
2	5001	591

prune130.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	97	5	102

Merged error: 0b

Counts

102 → 5

regimes211.0ms

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	11	4
1	11	4

end0.0ms

analyze273.0ms

Algorithm: search

sample391.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
17.0ms	647×	body	80	invalid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Details

analyze277.0ms

sample16.0ms

simplify27.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series12.0ms

simplify103.0ms

prune49.0ms

localize12.0ms

rewrite34.0ms

series174.0ms

simplify47.0ms

prune240.0ms

localize18.0ms

rewrite25.0ms

series150.0ms

simplify62.0ms

prune541.0ms

localize8.0ms

rewrite34.0ms

series27.0ms

simplify53.0ms

prune130.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze273.0ms

sample391.0ms

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4