Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample34.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	35×	body	80	nan
1.0ms	22×	body	80	invalid

simplify219.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (217.0ms)

Iter	Nodes	Cost
0	3717	16
1	3717	16

prune16.0ms

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: 0.1b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
2×	`sub-neg` `associate-+l+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
12.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series61.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
4.0ms	(* (- a 0.5) b)
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4998	1309
1	4998	1309

prune142.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	95	7	102

Merged error: 0b

Counts

102 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- a 0.5) b) (* z (log t)))
0.0b	(* (- a 0.5) b)
0.1b	(+ z (- (* (- a 0.5) b) (* z (log t))))
0.3b	(* z (log t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
2×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `prod-exp` `sum-log` `-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3-+` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

9.0ms	(- (* (- a 0.5) b) (* z (log t)))
6.0ms	(* (- a 0.5) b)
7.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
4.0ms	(* z (log t))

series38.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* (- a 0.5) b) (* z (log t)))
4.0ms	(* (- a 0.5) b)
15.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
7.0ms	(* z (log t))

simplify77.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4953	875
1	4953	875

prune119.0ms

Filtered

60 candidates to 91 candidates (-51.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	91	7	98

Merged error: 0b

Counts

98 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
10.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series88.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* z (log (cbrt t)))
24.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
22.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify82.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4879	844
1	4879	844

prune145.0ms

Filtered

85 candidates to 114 candidates (-34.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	114	7	121

Merged error: 0b

Counts

121 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ z (+ x (- y (* z (log (sqrt t)))))) (* z (log (sqrt t))))
0.1b	(+ z (+ x (- y (* z (log (sqrt t))))))
0.3b	(* z (log (sqrt t)))
0.3b	(* z (log (sqrt t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
27×	`add-log-exp`
25×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
12×	`pow1` `associate-r` `associate--r+`
10×	`sum-log`
8×	`add-exp-log` `add-cbrt-cube`
6×	`diff-log` `associate-l` `log-pow`
4×	`associate-+r-`
3×	`distribute-lft-out`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+`

Counts

4 → 111

Calls

4 calls:

11.0ms	(- (+ z (+ x (- y (* z (log (sqrt t)))))) (* z (log (sqrt t))))
7.0ms	(+ z (+ x (- y (* z (log (sqrt t))))))
5.0ms	(* z (log (sqrt t)))
5.0ms	(* z (log (sqrt t)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (+ z (+ x (- y (* z (log (sqrt t)))))) (* z (log (sqrt t))))
16.0ms	(+ z (+ x (- y (* z (log (sqrt t))))))
9.0ms	(* z (log (sqrt t)))
9.0ms	(* z (log (sqrt t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5044	1377

prune100.0ms

Filtered

78 candidates to 123 candidates (-57.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	123	7	130

Merged error: 0b

Counts

130 → 7

regimes983.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	16
1	54	16

end0.0ms

sample963.0ms

Algorithm

intervals

Results

485.0ms	7999×	body	80	valid
66.0ms	1147×	body	80	invalid
60.0ms	1159×	body	80	nan
0.0ms	1×	body	320	valid

Details

analyze1.1s

sample34.0ms

simplify219.0ms

prune16.0ms

localize13.0ms

rewrite36.0ms

series61.0ms

simplify46.0ms

prune142.0ms

localize13.0ms

rewrite28.0ms

series38.0ms

simplify77.0ms

prune119.0ms

localize21.0ms

rewrite21.0ms

series88.0ms

simplify82.0ms

prune145.0ms

localize15.0ms

rewrite31.0ms

series50.0ms

simplify44.0ms

prune100.0ms

regimes983.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample963.0ms

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