Details

analyze291.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	24×	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))

rewrite13.0ms

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:

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

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (23.0ms)

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

prune51.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
2.9b	(* (- (* 1.0 1.0) (* x x)) y)
5.7b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

9.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
7.0ms	(* (- (* 1.0 1.0) (* x x)) y)
9.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series29.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
6.0ms	(* (- (* 1.0 1.0) (* x x)) y)
8.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	366	532
1	1790	470
2	5001	461

prune84.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
0.1b	(pow (* (- 1.0 x) y) 3)
39.4b	(cbrt (pow (* (- 1.0 x) y) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*l/` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
6.0ms	(pow (* (- 1.0 x) y) 3)
3.0ms	(cbrt (pow (* (- 1.0 x) y) 3))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 x) y)
11.0ms	(+ (cbrt (pow (* (- 1.0 x) y) 3)) (* x z))
8.0ms	(pow (* (- 1.0 x) y) 3)
7.0ms	(cbrt (pow (* (- 1.0 x) y) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	335	440
1	1588	390
2	5002	389

prune106.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.1b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.1b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.2b	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

6.0ms	(+ (* (- 1.0 x) y) (* x z))
6.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
18.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

series67.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* (- 1.0 x) y) (* x z))
24.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
24.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
8.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	275	956
1	1087	876
2	5001	850

prune127.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	109	5	114

Merged error: 0b

Counts

114 → 5

regimes203.0ms

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

analyze286.0ms

Algorithm: search

sample417.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
18.0ms	656×	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

analyze291.0ms

sample16.0ms

simplify27.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series12.0ms

simplify96.0ms

prune51.0ms

localize10.0ms

rewrite27.0ms

series29.0ms

simplify53.0ms

prune84.0ms

localize10.0ms

rewrite24.0ms

series31.0ms

simplify54.0ms

prune106.0ms

localize8.0ms

rewrite39.0ms

series67.0ms

simplify47.0ms

prune127.0ms

regimes203.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze286.0ms

sample417.0ms

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