Details

analyze280.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify79.0ms

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

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 2 expressions with local error:

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

rewrite10.0ms

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:

3.0ms	(+ x (* (- y x) z))
6.0ms	(* (- y x) z)

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* (- y x) z))
6.0ms	(* (- y x) z)

simplify65.0ms

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: 0.0b

Counts

40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* (- y x) z) 3)))
0.0b	(* (- y x) z)
0.3b	(pow (* (- y x) z) 3)
35.4b	(cbrt (pow (* (- y x) z) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

4.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
6.0ms	(* (- y x) z)
6.0ms	(pow (* (- y x) z) 3)
3.0ms	(cbrt (pow (* (- y x) z) 3))

series45.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
8.0ms	(* (- y x) z)
15.0ms	(pow (* (- y x) z) 3)
11.0ms	(cbrt (pow (* (- y x) z) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	323	424
1	1508	381
2	5003	380

prune305.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	4	93

Merged error: 0.0b

Counts

93 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (- y x))
9.0ms	(sqrt (- y x))
17.0ms	(* (sqrt (- y x)) z)
7.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify109.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	299	580
1	1052	522
2	4372	516
3	5001	516

prune91.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt (- y x))) (cbrt (sqrt (- y x))))
0.2b	(cbrt (sqrt (- y x)))
0.2b	(cbrt (sqrt (- y x)))
0.2b	(cbrt (sqrt (- y x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
58×	`add-sqr-sqrt`
47×	`sqrt-prod`
42×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`cbrt-div` `sqrt-div`
15×	`swap-sqr`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `unswap-sqr`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

15.0ms	(* (cbrt (sqrt (- y x))) (cbrt (sqrt (- y x))))
3.0ms	(cbrt (sqrt (- y x)))
3.0ms	(cbrt (sqrt (- y x)))
4.0ms	(cbrt (sqrt (- y x)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (sqrt (- y x))) (cbrt (sqrt (- y x))))
25.0ms	(cbrt (sqrt (- y x)))
26.0ms	(cbrt (sqrt (- y x)))
26.0ms	(cbrt (sqrt (- y x)))

simplify116.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	300	1287
1	868	1220
2	3665	1108
3	5002	1052

prune107.0ms

Filtered

84 candidates to 138 candidates (-64.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	138	4	142

Merged error: 0.0b

Counts

142 → 4

regimes204.0ms

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

analyze284.0ms

Algorithm: search

sample380.0ms

Algorithm

intervals

Results

203.0ms	8000×	body	80	valid
14.0ms	589×	body	80	invalid

Details

analyze280.0ms

sample19.0ms

simplify79.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series13.0ms

simplify65.0ms

prune44.0ms

localize9.0ms

rewrite21.0ms

series45.0ms

simplify48.0ms

prune305.0ms

localize8.0ms

rewrite27.0ms

series41.0ms

simplify109.0ms

prune91.0ms

localize12.0ms

rewrite31.0ms

series105.0ms

simplify116.0ms

prune107.0ms

regimes204.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze284.0ms

sample380.0ms

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