Details

analyze242.0ms

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

12.0ms

256×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

prune7.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series58.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(- x (* (+ y 0.5) (log y)))
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

simplify60.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4990	1064
1	4990	1064

prune132.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.2b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

10.0ms	(* (+ y 0.5) (log (cbrt y)))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series223.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ y 0.5) (log (cbrt y)))
114.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
23.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify71.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4942	1243
1	4942	1243

prune161.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	121	7	128

Merged error: 0b

Counts

128 → 7

localize19.0ms

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)))
0.5b	(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))
13.0ms	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
5.0ms	(cbrt (/ 1 (/ -1 y)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (- x (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))) y)
2.0ms	(/ 1 (/ -1 y))
87.0ms	(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
24.0ms	(cbrt (/ 1 (/ -1 y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5469	2079

prune322.0ms

Filtered

116 candidates to 181 candidates (-56.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	181	7	188

Merged error: 0b

Counts

188 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
0.5b	(cbrt y)
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-+r+` `log-prod` `sqrt-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 59

Calls

4 calls:

7.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series114.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
23.0ms	(cbrt y)
16.0ms	(cbrt (sqrt y))
16.0ms	(cbrt (sqrt y))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4921	547
1	4921	547

prune90.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	1	3
Picked	0	1	1
Done	0	3	3
Total	72	6	78

Merged error: 0b

Counts

78 → 6

regimes322.0ms

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	63	12
1	63	12

end0.0ms

sample548.0ms

Algorithm

intervals

Results

379.0ms	7999×	body	80	valid
2.0ms	37×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze242.0ms

sample21.0ms

simplify112.0ms

prune7.0ms

localize12.0ms

rewrite24.0ms

series58.0ms

simplify60.0ms

prune132.0ms

localize15.0ms

rewrite30.0ms

series223.0ms

simplify71.0ms

prune161.0ms

localize19.0ms

rewrite37.0ms

series159.0ms

simplify42.0ms

prune322.0ms

localize23.0ms

rewrite13.0ms

series114.0ms

simplify40.0ms

prune90.0ms

regimes322.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample548.0ms

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