Details

analyze647.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	59×	body	80	invalid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune4.0ms

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: 2.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.5b	(* (- y x) (/ z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5329	557

prune92.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
13.0ms	(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))

series110.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
22.0ms	(cbrt t)
23.0ms	(cbrt t)
43.0ms	(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	663
1	4948	663

prune107.0ms

Filtered

51 candidates to 74 candidates (-45.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	72	12	84

Merged error: 0.0b

Counts

84 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))
1.5b	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))
1.5b	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))
1.5b	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`associate-*r/`
15×	`cbrt-div`
11×	`add-cbrt-cube`
9×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

13.0ms	(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))
11.0ms	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))
11.0ms	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))
11.0ms	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))
76.0ms	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))
78.0ms	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))
78.0ms	(cbrt (* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4975	1620
1	4975	1620

prune147.0ms

Filtered

69 candidates to 83 candidates (-20.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.8b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (* (/ (cbrt z) (* (cbrt t) (cbrt t))) (cbrt (- y x)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

108×	`cbrt-div`
82×	`frac-times`
80×	`associate-*r/`
54×	`flip3--` `flip--`
49×	`add-exp-log`
31×	`prod-exp` `cbrt-unprod`
29×	`associate-*l/`
25×	`pow1`
17×	`add-cbrt-cube`
15×	`pow-prod-down`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
27.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (* (/ (cbrt z) (* (cbrt t) (cbrt t))) (cbrt (- y x)))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
21.0ms	(cbrt t)
22.0ms	(cbrt t)
48.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (* (/ (cbrt z) (* (cbrt t) (cbrt t))) (cbrt (- y x)))))

simplify216.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5015	3134

prune111.0ms

Filtered

72 candidates to 134 candidates (-86.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	134	12	146

Merged error: 0.0b

Counts

146 → 12

regimes587.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	23
1	28	23

end0.0ms

sample583.0ms

Algorithm

intervals

Results

252.0ms	8000×	body	80	valid
61.0ms	2022×	body	80	invalid

Details

analyze647.0ms

sample22.0ms

simplify34.0ms

prune4.0ms

localize7.0ms

rewrite19.0ms

series23.0ms

simplify43.0ms

prune92.0ms

localize15.0ms

rewrite19.0ms

series110.0ms

simplify60.0ms

prune107.0ms

localize23.0ms

rewrite49.0ms

series276.0ms

simplify42.0ms

prune147.0ms

localize21.0ms

rewrite39.0ms

series113.0ms

simplify216.0ms

prune111.0ms

regimes587.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample583.0ms

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