Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample56.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	243×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	175	19
1	175	19

prune21.0ms

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: 1.3b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z t) (* c (* (+ a (* b c)) i)))
0.0b	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
1.3b	(* (+ a (* b c)) i)
4.5b	(* c (* (+ a (* b c)) i))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`sub-neg` `diff-log` `associate-r/` `sum-log` `-commutative`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

3.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
5.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
5.0ms	(* (+ a (* b c)) i)
6.0ms	(* c (* (+ a (* b c)) i))

series374.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
303.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
12.0ms	(* (+ a (* b c)) i)
13.0ms	(* c (* (+ a (* b c)) i))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5853	1007

prune134.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	9	79

Merged error: 1.0b

Counts

79 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
3.1b	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
3.4b	(* (+ a (* c b)) (* i (cbrt c)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `associate-r` `-commutative` `flip-+`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
13.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
7.0ms	(* (+ a (* c b)) (* i (cbrt c)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt c)
24.0ms	(cbrt c)
19.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
53.0ms	(* (+ a (* c b)) (* i (cbrt c)))

simplify71.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4906	687
1	4906	687

prune116.0ms

Filtered

50 candidates to 84 candidates (-68.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 1.0b

Counts

93 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ a (* b c)))
1.8b	(cbrt (+ a (* b c)))
1.8b	(cbrt (+ a (* c b)))
4.5b	(* c (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i (cbrt (+ a (* c b))))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
52×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
22×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`associate-*l/`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 92

Calls

4 calls:

4.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* c b)))
18.0ms	(* c (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i (cbrt (+ a (* c b))))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ a (* b c)))
26.0ms	(cbrt (+ a (* b c)))
27.0ms	(cbrt (+ a (* c b)))
14.0ms	(* c (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i (cbrt (+ a (* c b))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5115	1552

prune167.0ms

Filtered

77 candidates to 104 candidates (-35.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	104	10	114

Merged error: 1.0b

Counts

114 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.1b	(* (* (+ a (* b c)) c) i)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

2.0ms	(+ a (* b c))
6.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms	(* (+ a (* b c)) c)
6.0ms	(* (* (+ a (* b c)) c) i)

series389.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ a (* b c))
353.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
13.0ms	(* (+ a (* b c)) c)
17.0ms	(* (* (+ a (* b c)) c) i)

simplify33.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5345	1153

prune87.0ms

Filtered

60 candidates to 80 candidates (-33.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	78	12	90

Merged error: 1.0b

Counts

90 → 12

regimes2.4s

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.8b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	19
1	26	19

end0.0ms

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample1.6s

Algorithm

intervals

Results

477.0ms	8000×	body	80	valid
427.0ms	7214×	body	80	invalid

Details

analyze1.6s

sample56.0ms

simplify6.0ms

prune21.0ms

localize14.0ms

rewrite21.0ms

series374.0ms

simplify39.0ms

prune134.0ms

localize18.0ms

rewrite26.0ms

series117.0ms

simplify71.0ms

prune116.0ms

localize22.0ms

rewrite32.0ms

series97.0ms

simplify63.0ms

prune167.0ms

localize14.0ms

rewrite21.0ms

series389.0ms

simplify33.0ms

prune87.0ms

regimes2.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.6s

sample1.6s

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