Details

analyze1.0s

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

10.0ms	247×	body	80	valid
1.0ms	28×	body	80	invalid
1.0ms	4×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	88	13
1	88	13

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

12.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
12.0ms	(* 60.0 (/ (- x y) (- z t)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
14.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5604	1406

prune147.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.3b	(* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0)))
0.4b	(* (/ (- x y) (- z t)) (cbrt 60.0))
1.0b	(* (cbrt 60.0) (cbrt 60.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
52×	`times-frac`
38×	`associate-l`
37×	`add-cube-cbrt`
34×	`add-exp-log`
25×	`pow1`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`cbrt-prod`
20×	`add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`associate-r`
11×	`pow-prod-down`
8×	`unswap-sqr`
6×	`pow1/3` `swap-sqr`
5×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`associate-*l/` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 174

Calls

4 calls:

7.0ms	(/ (- x y) (- z t))
15.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0)))
13.0ms	(* (/ (- x y) (- z t)) (cbrt 60.0))
7.0ms	(* (cbrt 60.0) (cbrt 60.0))

series54.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(/ (- x y) (- z t))
23.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (/ (- x y) (- z t)) (cbrt 60.0)))
18.0ms	(* (/ (- x y) (- z t)) (cbrt 60.0))
0.0ms	(* (cbrt 60.0) (cbrt 60.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5510	1824

prune277.0ms

Filtered

119 candidates to 184 candidates (-54.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	184	8	192

Merged error: 0.0b

Counts

192 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series105.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
24.0ms	(cbrt (- z t))
28.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))

simplify72.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4886	1006
1	4886	1006

prune123.0ms

Filtered

71 candidates to 113 candidates (-59.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))

series104.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
24.0ms	(cbrt (- x y))
27.0ms	(cbrt (- x y))
24.0ms	(cbrt (- x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4886	1006
1	4886	1006

prune96.0ms

Filtered

71 candidates to 113 candidates (-59.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

regimes765.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

analyze1.0s

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample665.0ms

Algorithm

intervals

Results

339.0ms	7851×	body	80	valid
31.0ms	644×	body	80	invalid
11.0ms	61×	body	1280	valid
5.0ms	24×	body	2560	valid
5.0ms	34×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	14×	body	160	valid

Details

analyze1.0s

sample27.0ms

simplify5.0ms

prune12.0ms

localize9.0ms

rewrite37.0ms

series58.0ms

simplify54.0ms

prune147.0ms

localize13.0ms

rewrite49.0ms

series54.0ms

simplify57.0ms

prune277.0ms

localize17.0ms

rewrite22.0ms

series105.0ms

simplify72.0ms

prune123.0ms

localize13.0ms

rewrite21.0ms

series104.0ms

simplify72.0ms

prune96.0ms

regimes765.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.0s

sample665.0ms

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