Details

analyze1.1s

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%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample136.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5223	21

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (+ z (+ t (+ a (+ (* (- b 0.5) (log c)) (* y i))))))
0.0b	(+ (* (- b 0.5) (log c)) (* y i))
0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-log-exp`
24×	`log-prod`
22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sum-log`
12×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+r+` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

17.0ms	(+ (* x (log y)) (+ z (+ t (+ a (+ (* (- b 0.5) (log c)) (* y i))))))
8.0ms	(+ (* (- b 0.5) (log c)) (* y i))
7.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series220.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (* x (log y)) (+ z (+ t (+ a (+ (* (- b 0.5) (log c)) (* y i))))))
28.0ms	(+ (* (- b 0.5) (log c)) (* y i))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4913	1332
1	4913	1332

prune195.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Merged error: 0b

Counts

106 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- b 0.5) (log c)) (+ (+ (* y i) a) (+ z t)))
0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `add-log-exp`
20×	`frac-add`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-r`
15×	`pow1`
14×	`associate-*l/`
13×	`sum-log`
12×	`sqrt-prod`
11×	`flip3-+` `associate-l` `flip-+`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `log-pow` `flip--`
6×	`associate-+l+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `associate-+r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 129

Calls

4 calls:

16.0ms	(+ (* (- b 0.5) (log c)) (+ (+ (* y i) a) (+ z t)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (* (- b 0.5) (log c)) (+ (+ (* y i) a) (+ z t)))
9.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log (sqrt y)))
9.0ms	(* x (log (sqrt y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4940	2433
1	4940	2433

prune200.0ms

Filtered

94 candidates to 141 candidates (-50.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	141	9	150

Merged error: 0b

Counts

150 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(* x (log y))
12.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series89.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
36.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
23.0ms	(cbrt c)
22.0ms	(cbrt c)

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5052	779

prune151.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	87	9	96

Merged error: 0b

Counts

96 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.4b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite19.0ms

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	(* x (log (cbrt y)))
9.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series89.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (log (cbrt y)))
23.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify63.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune102.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	90	9	99

Merged error: 0b

Counts

99 → 9

regimes1.5s

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	41	28
1	41	28

end0.0ms

sample4.6s

Algorithm

intervals

Results

598.0ms	7999×	body	80	valid
0.0ms	1×	body	160	valid

Details

analyze1.1s

sample136.0ms

simplify25.0ms

prune17.0ms

localize19.0ms

rewrite40.0ms

series220.0ms

simplify42.0ms

prune195.0ms

localize21.0ms

rewrite40.0ms

series120.0ms

simplify40.0ms

prune200.0ms

localize25.0ms

rewrite21.0ms

series89.0ms

simplify46.0ms

prune151.0ms

localize24.0ms

rewrite19.0ms

series89.0ms

simplify63.0ms

prune102.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling