Details

analyze225.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5035	12

prune10.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
8.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- x (* (+ y 0.5) (log y)))
15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5142	1067

prune147.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- x (+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))) y)
0.3b	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity` `add-log-exp`
12×	`cbrt-prod` `associate-+r+` `log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-*l/`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
5×	`sum-log`
4×	`pow1` `add-exp-log` `frac-add` `add-cbrt-cube`
3×	`distribute-lft-out`
2×	`+-commutative` `pow1/3` `diff-log`
1×	`associate-+l-` `sub-neg` `associate-+l+` `distribute-lft-out--`

Counts

4 → 67

Calls

4 calls:

12.0ms	(+ (- x (+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))) y)
11.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series173.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (- x (+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))) y)
103.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
23.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify60.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4962	822
1	4962	822

prune151.0ms

Filtered

58 candidates to 79 candidates (-36.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	79	8	87

Merged error: 0b

Counts

87 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- x (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))) y)
0.2b	(/ 1 (/ -1 y))
0.3b	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
0.6b	(cbrt (/ 1 (/ -1 y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`cbrt-prod`
17×	`add-exp-log`
13×	`associate-/r*`
11×	`add-cbrt-cube`
10×	`pow1`
9×	`div-inv` `add-log-exp`
7×	`div-exp`
6×	`associate-l`
3×	`cbrt-undiv` `pow1/3` `associate-r` `pow-prod-down` `log-pow` `associate-/l*`
2×	`rec-exp` `flip3-+` `1-exp` `associate-*r/` `sum-log` `associate-/r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `associate-+l+` `cbrt-div` `pow-flip` `frac-2neg` `distribute-lft-in` `diff-log` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 169

Calls

4 calls:

5.0ms	(+ (- x (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))) y)
6.0ms	(/ 1 (/ -1 y))
14.0ms	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
5.0ms	(cbrt (/ 1 (/ -1 y)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- x (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))) y)
2.0ms	(/ 1 (/ -1 y))
83.0ms	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
26.0ms	(cbrt (/ 1 (/ -1 y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5008	1664

prune248.0ms

Filtered

86 candidates to 181 candidates (-110.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	181	8	189

Merged error: 0b

Counts

189 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))))
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y)
0.4b	(* (log y) (sqrt (+ y 0.5)))
0.5b	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`sqrt-div`
13×	`add-sqr-sqrt`
12×	`pow1`
11×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
10×	`associate-*r/`
9×	`add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `associate-r` `flip-+`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`sub-neg` `diff-log` `associate-l/` `sum-log` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `associate-+l+` `flip3--` `log-pow` `flip--`

Counts

4 → 82

Calls

4 calls:

3.0ms	(- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))))
6.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y)
7.0ms	(* (log y) (sqrt (+ y 0.5)))
12.0ms	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))))
11.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))) y)
12.0ms	(* (log y) (sqrt (+ y 0.5)))
23.0ms	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4957	1313
1	4957	1313

prune142.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	94	8	102

Merged error: 0b

Counts

102 → 8

regimes357.0ms

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	106	12
1	106	12

end0.0ms

sample534.0ms

Algorithm

intervals

Results

354.0ms	8000×	body	80	valid
1.0ms	29×	body	80	invalid

Details

analyze225.0ms

sample21.0ms

simplify79.0ms

prune10.0ms

localize9.0ms

rewrite25.0ms

series56.0ms

simplify49.0ms

prune147.0ms

localize14.0ms

rewrite28.0ms

series173.0ms

simplify60.0ms

prune151.0ms

localize16.0ms

rewrite37.0ms

series153.0ms

simplify99.0ms

prune248.0ms

localize13.0ms

rewrite31.0ms

series55.0ms

simplify52.0ms

prune142.0ms

regimes357.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample534.0ms

Profiling