Details

analyze954.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4786	11
1	4786	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
9.0b	(* (- y z) (/ t (- a z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* (- y z) (/ t (- a z))))
7.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4978	1059
1	4978	1059

prune122.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.0b	(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.2b	(* t (/ 1 (- a z)))
9.0b	(* (- y z) (* t (/ 1 (- a z))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-*r/` `div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 128

Calls

4 calls:

6.0ms	(/ 1 (- a z))
4.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
10.0ms	(* t (/ 1 (- a z)))
12.0ms	(* (- y z) (* t (/ 1 (- a z))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a z))
27.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
7.0ms	(* t (/ 1 (- a z)))
15.0ms	(* (- y z) (* t (/ 1 (- a z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5949	1199

prune126.0ms

Filtered

84 candidates to 140 candidates (-66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	140	7	147

Merged error: 0b

Counts

147 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
3.7b	(* (/ t (- a z)) (cbrt (- y z)))
5.3b	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

126×	`cbrt-div`
88×	`frac-times`
64×	`flip3--` `flip--`
60×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
40×	`cbrt-prod`
39×	`associate-*r/`
32×	`add-exp-log` `associate-*l/`
30×	`associate-l`
25×	`pow1`
24×	`add-cube-cbrt`
18×	`add-cbrt-cube`
17×	`times-frac` `associate-r`
16×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down` `distribute-lft-out--`
10×	`swap-sqr`
9×	`difference-of-squares`
8×	`unswap-sqr`
7×	`pow1/3`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 201

Calls

4 calls:

3.0ms	(cbrt (- y z))
10.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
12.0ms	(* (/ t (- a z)) (cbrt (- y z)))
21.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- y z))
28.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
41.0ms	(* (/ t (- a z)) (cbrt (- y z)))
19.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

simplify62.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4977	3748
1	4977	3748

prune187.0ms

Filtered

127 candidates to 213 candidates (-67.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	213	7	220

Merged error: 0b

Counts

220 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
14.7b	(/ (* (- y z) t) (- a z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
10.0ms	(/ (* (- y z) t) (- a z))

series47.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
15.0ms	(/ (* (- y z) t) (- a z))

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5590	683

prune60.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	72	7	79

Merged error: 0b

Counts

79 → 7

regimes546.0ms

Accuracy

76.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	59
1	43	59

end0.0ms

sample617.0ms

Algorithm

intervals

Results

309.0ms	7998×	body	80	valid
29.0ms	709×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze954.0ms

sample23.0ms

simplify123.0ms

prune12.0ms

localize8.0ms

rewrite23.0ms

series50.0ms

simplify63.0ms

prune122.0ms

localize10.0ms

rewrite39.0ms

series53.0ms

simplify54.0ms

prune126.0ms

localize12.0ms

rewrite57.0ms

series115.0ms

simplify62.0ms

prune187.0ms

localize8.0ms

rewrite25.0ms

series47.0ms

simplify36.0ms

prune60.0ms

regimes546.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample617.0ms

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