Details

analyze266.0ms

Algorithm: search

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	750	3
11	1136	3
12	1818	3
13	5002	3

prune5.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

5.0ms	(+ x (* (- y x) z))
10.0ms	(* (- y x) z)

series19.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* (- y x) z))
11.0ms	(* (- y x) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	162
1	556	145
2	2758	145
3	5001	145

prune44.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

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: 0b

Counts

40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
3.2b	(- (* y y) (* x x))
10.5b	(* (- (* y y) (* x x)) z)
17.2b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
3.0ms	(- (* y y) (* x x))
5.0ms	(* (- (* y y) (* x x)) z)
8.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series44.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
5.0ms	(- (* y y) (* x x))
11.0ms	(* (- (* y y) (* x x)) z)
12.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	353	602
1	1718	523
2	5002	514

prune70.0ms

Filtered

58 candidates to 85 candidates (-46.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.3b	(* (* (- y x) z) (* (- y x) z))
4.7b	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
28.9b	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`*-un-lft-identity`
16×	`associate-*l/`
15×	`add-cube-cbrt`
12×	`times-frac`
10×	`flip3--` `flip--`
9×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp` `difference-of-squares`
4×	`frac-times` `associate-r` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`pow-plus` `associate-r/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* (- y x) z)
11.0ms	(* (* (- y x) z) (* (- y x) z))
3.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
8.0ms	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- y x) z)
10.0ms	(* (* (- y x) z) (* (- y x) z))
24.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
51.0ms	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	492	1128
1	2505	971
2	5003	953

prune112.0ms

Filtered

78 candidates to 125 candidates (-60.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0b

Counts

129 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
36×	`add-sqr-sqrt`
29×	`sqrt-prod`
21×	`sqrt-pow1` `pow1/2`
20×	`add-exp-log` `add-cbrt-cube`
19×	`*-un-lft-identity`
18×	`sqrt-div` `associate-*l/`
17×	`associate-l`
13×	`add-cube-cbrt` `associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3--` `flip--`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`pow-plus` `associate-*r/`
1×	`pow2` `rem-sqrt-square` `swap-sqr` `rem-square-sqrt`

Counts

4 → 137

Calls

4 calls:

3.0ms	(sqrt (- y x))
8.0ms	(* (sqrt (- y x)) (sqrt z))
8.0ms	(* (sqrt (- y x)) (sqrt z))
15.0ms	(* (* (sqrt (- y x)) (sqrt z)) (* (sqrt (- y x)) (sqrt z)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (- y x))
55.0ms	(* (sqrt (- y x)) (sqrt z))
56.0ms	(* (sqrt (- y x)) (sqrt z))
8.0ms	(* (* (sqrt (- y x)) (sqrt z)) (* (sqrt (- y x)) (sqrt z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	377	842
1	1543	716
2	5002	702

prune99.0ms

Filtered

86 candidates to 149 candidates (-73.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	149	4	153

Merged error: 0b

Counts

153 → 4

regimes184.0ms

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	8	3
1	8	3

end0.0ms

analyze270.0ms

Algorithm: search

sample361.0ms

Algorithm

intervals

Results

188.0ms	8000×	body	80	valid
13.0ms	591×	body	80	invalid

Details

analyze266.0ms

sample14.0ms

simplify104.0ms

prune5.0ms

localize8.0ms

rewrite16.0ms

series19.0ms

simplify63.0ms

prune44.0ms

localize9.0ms

rewrite26.0ms

series44.0ms

simplify46.0ms

prune70.0ms

localize9.0ms

rewrite31.0ms

series96.0ms

simplify89.0ms

prune112.0ms

localize8.0ms

rewrite38.0ms

series128.0ms

simplify51.0ms

prune99.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze270.0ms

sample361.0ms

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