Details

analyze481.0ms

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

sample52.0ms

Algorithm

intervals

Results

11.0ms	17×	body	1280	valid
11.0ms	167×	body	80	valid
9.0ms	26×	body	640	valid
6.0ms	30×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	11×	body	80	nan
0.0ms	1×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

prune9.0ms

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: 9.3b

Counts

2 → 1

localize13.0ms

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)))
0.2b	(* x (log y))
6.7b	(log (- 1.0 y))

rewrite21.0ms

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))

series36.0ms

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))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4992	977
1	4992	977

prune160.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.1b

Counts

98 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y))))))))
0.0b	(* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y)))))))
0.2b	(/ 1/2 (* 1.0 (/ 1.0 y)))
0.2b	(* x (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate--l+`
9×	`pow1`
8×	`associate-+r+`
7×	`associate-r`
6×	`associate-+l+` `associate-l` `add-log-exp`
4×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r/` `associate-/l`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `associate-/r/` `log-pow` `flip--` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

9.0ms	(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y))))))))
8.0ms	(* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y)))))))
6.0ms	(/ 1/2 (* 1.0 (/ 1.0 y)))
6.0ms	(* x (log y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y))))))))
23.0ms	(* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y)))))))
3.0ms	(/ 1/2 (* 1.0 (/ 1.0 y)))
11.0ms	(* x (log y))

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5240	1556

prune213.0ms

Filtered

82 candidates to 114 candidates (-39.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	113	8	121

Merged error: 0.1b

Counts

121 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
20.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify38.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5084	341

prune142.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Merged error: 0.1b

Counts

93 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series86.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
23.0ms	(cbrt y)
19.0ms	(pow y 1/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5487	342

prune143.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 0.1b

Counts

100 → 8

regimes330.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	34
1	33	34

end0.0ms

analyze299.0ms

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

sample1.4s

Algorithm

intervals

Results

358.0ms	5471×	body	80	valid
307.0ms	874×	body	640	valid
288.0ms	439×	body	1280	valid
165.0ms	771×	body	320	valid
62.0ms	445×	body	160	valid
19.0ms	249×	body	80	nan
1.0ms	20×	body	80	invalid

Details

analyze481.0ms

sample52.0ms

simplify4.0ms

prune9.0ms

localize13.0ms

rewrite21.0ms

series36.0ms

simplify45.0ms

prune160.0ms

localize16.0ms

rewrite35.0ms

series76.0ms

simplify56.0ms

prune213.0ms

localize27.0ms

rewrite10.0ms

series87.0ms

simplify38.0ms

prune142.0ms

localize28.0ms

rewrite11.0ms

series86.0ms

simplify59.0ms

prune143.0ms

regimes330.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze299.0ms

sample1.4s

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