Details

analyze880.0ms

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%	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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- z t) (- z a))
18.0ms	(* y (/ (- z t) (- z a)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5083	1163

prune125.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.1b	(cbrt (/ (- z t) (- z a)))
3.1b	(cbrt (/ (- z t) (- z a)))
3.1b	(cbrt (/ (- z t) (- z a)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

20.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
7.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
30.0ms	(cbrt (/ (- z t) (- z a)))
33.0ms	(cbrt (/ (- z t) (- z a)))
31.0ms	(cbrt (/ (- z t) (- z a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5023	2243

prune148.0ms

Filtered

108 candidates to 154 candidates (-42.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	154	6	160

Merged error: 0.0b

Counts

160 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* (/ (- z t) (- z a)) (cbrt y))
1.2b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-l`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-l/` `associate-/r/` `-commutative`
1×	`flip3--` `associate-*r/` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* (/ (- z t) (- z a)) (cbrt y))
17.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
44.0ms	(* (/ (- z t) (- z a)) (cbrt y))
20.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- z a)) (cbrt y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5469	1040

prune103.0ms

Filtered

73 candidates to 116 candidates (-58.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- z a))))
4.4b	(* (- z t) (/ (cbrt y) (- z a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`associate-r`
32×	`times-frac`
30×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`add-cbrt-cube`
18×	`pow1`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`flip3--` `flip--`
4×	`frac-times` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unswap-sqr`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`div-inv`

Counts

4 → 115

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- z a))))
17.0ms	(* (- z t) (/ (cbrt y) (- z a)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
24.0ms	(cbrt y)
19.0ms	(* (* (cbrt y) (cbrt y)) (* (- z t) (/ (cbrt y) (- z a))))
50.0ms	(* (- z t) (/ (cbrt y) (- z a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4971	1174
1	4971	1174

prune92.0ms

Filtered

81 candidates to 127 candidates (-56.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	127	6	133

Merged error: 0b

Counts

133 → 6

regimes512.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample573.0ms

Algorithm

intervals

Results

287.0ms	7999×	body	80	valid
24.0ms	706×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze880.0ms

sample23.0ms

simplify98.0ms

prune12.0ms

localize8.0ms

rewrite30.0ms

series24.0ms

simplify49.0ms

prune125.0ms

localize12.0ms

rewrite50.0ms

series135.0ms

simplify55.0ms

prune148.0ms

localize12.0ms

rewrite38.0ms

series108.0ms

simplify52.0ms

prune103.0ms

localize13.0ms

rewrite43.0ms

series116.0ms

simplify53.0ms

prune92.0ms

regimes512.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample573.0ms

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