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
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

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.0b	(* y (/ (- z t) (- z a)))

rewrite32.0ms

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:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
17.0ms	(* y (/ (- z t) (- z a)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune136.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Merged error: 0.0b

Counts

124 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

3.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
29.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	1042
1	4976	1042

prune177.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
2.0b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

5.0ms	(/ t (- z a))
5.0ms	(/ z (- z a))
24.0ms	(- (/ z (- z a)) (/ t (- z a)))
31.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ t (- z a))
5.0ms	(/ z (- z a))
16.0ms	(- (/ z (- z a)) (/ t (- z a)))
28.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify53.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5741	1615

prune136.0ms

Filtered

110 candidates to 153 candidates (-39.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	155	6	161

Merged error: 0.0b

Counts

161 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b	(* y (/ (- z t) (- z a)))
6.8b	(cbrt (* y (/ (- z t) (- z a))))
6.8b	(cbrt (* y (/ (- z t) (- z a))))
6.8b	(cbrt (* y (/ (- z t) (- z a))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

15.0ms	(* y (/ (- z t) (- z a)))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* y (/ (- z t) (- z a)))
39.0ms	(cbrt (* y (/ (- z t) (- z a))))
42.0ms	(cbrt (* y (/ (- z t) (- z a))))
38.0ms	(cbrt (* y (/ (- z t) (- z a))))

simplify82.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4914	878
1	4914	878

prune88.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

regimes503.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	33
1	38	33

end0.0ms

sample556.0ms

Algorithm

intervals

Results

284.0ms	7998×	body	80	valid
26.0ms	683×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze1.0s

sample27.0ms

simplify94.0ms

prune12.0ms

localize8.0ms

rewrite32.0ms

series49.0ms

simplify46.0ms

prune136.0ms

localize17.0ms

rewrite25.0ms

series107.0ms

simplify48.0ms

prune177.0ms

localize9.0ms

rewrite74.0ms

series56.0ms

simplify53.0ms

prune136.0ms

localize12.0ms

rewrite41.0ms

series135.0ms

simplify82.0ms

prune88.0ms

regimes503.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample556.0ms

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