Details

analyze343.0ms

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
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample48.0ms

Algorithm

intervals

Results

14.0ms	199×	body	80	valid
7.0ms	8×	body	1280	valid
6.0ms	17×	body	640	valid
5.0ms	23×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	11×	body	80	nan
0.0ms	1×	body	80	invalid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5210	17

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: 4.9b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.2b	(* (- x 1.0) (log y))
4.3b	(log (- 1.0 y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

11.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
14.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series71.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
24.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5042	1613

prune224.0ms

Filtered

83 candidates to 103 candidates (-24.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
15.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
7.0ms	(* (- x 1.0) (log y))

series58.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
11.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
32.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
11.0ms	(* (- x 1.0) (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5025	3613

prune381.0ms

Filtered

99 candidates to 131 candidates (-32.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	132	8	140

Merged error: 0.0b

Counts

140 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

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)

series95.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
25.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune172.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.0b	(pow y 1/3)

rewrite13.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series91.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
24.0ms	(cbrt y)
22.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify61.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5150	324

prune156.0ms

Filtered

54 candidates to 92 candidates (-70.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

regimes517.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	43
1	61	43

end0.0ms

sample1.4s

Algorithm

intervals

Results

440.0ms	5857×	body	80	valid
310.0ms	805×	body	640	valid
185.0ms	257×	body	1280	valid
170.0ms	688×	body	320	valid
59.0ms	393×	body	160	valid
21.0ms	273×	body	80	nan
2.0ms	27×	body	80	invalid

Details

analyze343.0ms

sample48.0ms

simplify101.0ms

prune9.0ms

localize14.0ms

rewrite38.0ms

series71.0ms

simplify46.0ms

prune224.0ms

localize19.0ms

rewrite44.0ms

series58.0ms

simplify48.0ms

prune381.0ms

localize29.0ms

rewrite11.0ms

series95.0ms

simplify46.0ms

prune172.0ms

localize36.0ms

rewrite13.0ms

series91.0ms

simplify61.0ms

prune156.0ms

regimes517.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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