Details

analyze307.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample55.0ms

Algorithm

intervals

Results

13.0ms	20×	body	1280	valid
12.0ms	35×	body	640	valid
11.0ms	165×	body	80	valid
4.0ms	19×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	4×	body	80	nan

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (194.0ms)

Iter	Nodes	Cost
0	5378	13

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 12.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
8.3b	(log (- 1.0 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 85

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series37.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4957	979
1	4957	979

prune166.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.1b

Counts

98 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y (/ y (* 1.0 1.0))) -1/2)
0.0b	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
0.0b	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.3b	(* x (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
7.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
12.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
4.0ms	(* x (log y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
35.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
14.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
7.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5012	1373

prune190.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	97	10	107

Merged error: 0.1b

Counts

107 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))) (cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
13.8b	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
13.8b	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
13.8b	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))) (cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
4.0ms	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
4.0ms	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
4.0ms	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))) (cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
39.0ms	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
38.0ms	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))
40.0ms	(cbrt (* z (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4977	2932
1	4977	2932

prune416.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.1b

Counts

94 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
2.0ms	(cbrt (* x (log y)))
4.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
21.0ms	(cbrt (* x (log y)))
21.0ms	(cbrt (* x (log y)))
21.0ms	(cbrt (* x (log y)))

simplify140.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4974	412
1	4974	412

prune93.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	69	11	80

Merged error: 0.1b

Counts

80 → 11

regimes416.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	60
1	46	60

end0.0ms

sample1.4s

Algorithm

intervals

Results

359.0ms	5491×	body	80	valid
316.0ms	906×	body	640	valid
271.0ms	419×	body	1280	valid
155.0ms	740×	body	320	valid
61.0ms	444×	body	160	valid
15.0ms	224×	body	80	nan
2.0ms	31×	body	80	invalid

Details

analyze307.0ms

sample55.0ms

simplify197.0ms

prune8.0ms

localize11.0ms

rewrite25.0ms

series37.0ms

simplify50.0ms

prune166.0ms

localize17.0ms

rewrite35.0ms

series59.0ms

simplify45.0ms

prune190.0ms

localize21.0ms

rewrite21.0ms

series166.0ms

simplify55.0ms

prune416.0ms

localize21.0ms

rewrite15.0ms

series96.0ms

simplify140.0ms

prune93.0ms

regimes416.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling