Details

analyze335.0ms

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

13.0ms	199×	body	80	valid
9.0ms	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

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5210	17

prune8.0ms

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

localize13.0ms

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))

rewrite37.0ms

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:

13.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
11.0ms	(+ (* (- 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:

34.0ms	(- (+ (* (- 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))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5042	1613

prune245.0ms

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))

rewrite46.0ms

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)))))
8.0ms	(* (- x 1.0) (log y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
13.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
33.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
9.0ms	(* (- x 1.0) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5025	3613

prune443.0ms

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

localize25.0ms

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)

rewrite12.0ms

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)

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune231.0ms

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

localize31.0ms

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)

rewrite14.0ms

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)

series88.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
19.0ms	(pow y 1/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5150	324

prune255.0ms

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

regimes510.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	43
1	61	43

end0.0ms

sample1.3s

Algorithm

intervals

Results

396.0ms	5857×	body	80	valid
288.0ms	805×	body	640	valid
172.0ms	257×	body	1280	valid
154.0ms	688×	body	320	valid
58.0ms	393×	body	160	valid
21.0ms	273×	body	80	nan
2.0ms	27×	body	80	invalid

Details

analyze335.0ms

sample48.0ms

simplify100.0ms

prune8.0ms

localize13.0ms

rewrite37.0ms

series71.0ms

simplify42.0ms

prune245.0ms

localize19.0ms

rewrite46.0ms

series59.0ms

simplify47.0ms

prune443.0ms

localize25.0ms

rewrite12.0ms

series90.0ms

simplify44.0ms

prune231.0ms

localize31.0ms

rewrite14.0ms

series88.0ms

simplify57.0ms

prune255.0ms

regimes510.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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