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

sample39.0ms

Algorithm

intervals

Results

14.0ms	255×	body	80	valid
2.0ms	36×	body	80	invalid
2.0ms	38×	body	80	nan
0.0ms	1×	body	640	valid

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (218.0ms)

Iter	Nodes	Cost
0	3717	16
1	3717	16

prune15.0ms

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	(+ y (+ z (- (* (- 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))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

9.0ms	(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
6.0ms	(* (- a 0.5) b)
7.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
5.0ms	(* z (log t))

series52.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
4.0ms	(* (- a 0.5) b)
18.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
7.0ms	(* z (log t))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4964	933
1	4964	933

prune133.0ms

Filtered

59 candidates to 91 candidates (-54.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize15.0ms

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))

rewrite34.0ms

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:

12.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
9.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series63.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (- (+ (+ 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))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4998	1309
1	4998	1309

prune138.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
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 → 78

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
11.0ms	(+ (* z (* (log (cbrt t)) 2)) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series88.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* z (log (cbrt t)))
22.0ms	(+ (* z (* (log (cbrt t)) 2)) (* z (log (cbrt t))))
22.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5106	620

prune133.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* z (* (log (cbrt t)) 2)) (* (* z 1/3) (log t)))
0.3b	(* z 1/3)
0.4b	(* (* z 1/3) (log t))
0.6b	(cbrt t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

8.0ms	(+ (* z (* (log (cbrt t)) 2)) (* (* z 1/3) (log t)))
6.0ms	(* z 1/3)
6.0ms	(* (* z 1/3) (log t))
2.0ms	(cbrt t)

series62.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* z (* (log (cbrt t)) 2)) (* (* z 1/3) (log t)))
2.0ms	(* z 1/3)
8.0ms	(* (* z 1/3) (log t))
23.0ms	(cbrt t)

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5076	526

prune92.0ms

Filtered

55 candidates to 83 candidates (-50.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0b

Counts

91 → 7

regimes918.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	107	26
1	107	26

end0.0ms

sample929.0ms

Algorithm

intervals

Results

453.0ms	7994×	body	80	valid
68.0ms	1192×	body	80	invalid
56.0ms	1097×	body	80	nan
1.0ms	3×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze1.1s

sample39.0ms

simplify220.0ms

prune15.0ms

localize13.0ms

rewrite30.0ms

series52.0ms

simplify51.0ms

prune133.0ms

localize15.0ms

rewrite34.0ms

series63.0ms

simplify42.0ms

prune138.0ms

localize19.0ms

rewrite22.0ms

series88.0ms

simplify50.0ms

prune133.0ms

localize23.0ms

rewrite23.0ms

series62.0ms

simplify55.0ms

prune92.0ms

regimes918.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample929.0ms

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