Details

analyze992.0ms

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
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

sample29.0ms

Algorithm

intervals

Results

8.0ms	210×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	32×	body	80	invalid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4885	13
1	4885	13

prune4.0ms

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: 15.7b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.5b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.1b	(* (- y z) (/ (- t x) (- a z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

Calls

3 calls:

8.0ms	(/ (- t x) (- a z))
4.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
23.0ms	(* (- y z) (/ (- t x) (- a z)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- t x) (- a z))
52.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
34.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5183	1602

prune177.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	12	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Merged error: 3.0b

Counts

129 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- t x) (/ 1 (- a z)))
5.1b	(* (- y z) (* (- t x) (/ 1 (- a z))))
5.2b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`*-un-lft-identity`
22×	`associate-r`
20×	`frac-times`
17×	`times-frac` `add-cbrt-cube`
16×	`flip3--` `flip--`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1` `associate-r/` `associate-l` `associate-l/`
7×	`cbrt-unprod`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`div-exp` `pow-prod-down` `un-div-inv`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

3 → 105

Calls

3 calls:

14.0ms	(* (- t x) (/ 1 (- a z)))
15.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))
4.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

series99.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (- t x) (/ 1 (- a z)))
34.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))
52.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

simplify40.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5521	1436

prune133.0ms

Filtered

71 candidates to 114 candidates (-60.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	114	12	126

Merged error: 3.0b

Counts

126 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
5.1b	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
9.1b	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

82×	`frac-times`
76×	`cbrt-div`
56×	`flip3--` `flip--`
38×	`associate-*l/`
32×	`associate-*r/`
22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`pow-prod-down` `add-log-exp`
5×	`associate-l`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

4 → 121

Calls

4 calls:

3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
26.0ms	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
4.0ms	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- t x))
27.0ms	(cbrt (- t x))
35.0ms	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
52.0ms	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5007	2960

prune164.0ms

Filtered

89 candidates to 133 candidates (-49.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	133	12	145

Merged error: 3.0b

Counts

145 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (/ (- t x) (- a z)))
6.0b	(cbrt (/ (- t x) (- a z)))
6.0b	(cbrt (/ (- t x) (- a z)))
7.9b	(+ x (* (- y z) (* (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z)))) (cbrt (/ (- t x) (- a z))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 131

Calls

4 calls:

7.0ms	(cbrt (/ (- t x) (- a z)))
9.0ms	(cbrt (/ (- t x) (- a z)))
7.0ms	(cbrt (/ (- t x) (- a z)))
4.0ms	(+ x (* (- y z) (* (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z)))) (cbrt (/ (- t x) (- a z))))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (/ (- t x) (- a z)))
46.0ms	(cbrt (/ (- t x) (- a z)))
48.0ms	(cbrt (/ (- t x) (- a z)))
50.0ms	(+ x (* (- y z) (* (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z)))) (cbrt (/ (- t x) (- a z))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4930	2275
1	4930	2275

prune125.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	142	13	155

Merged error: 3.0b

Counts

155 → 13

regimes729.0ms

Accuracy

44.7% (6.2b remaining)

Error of 9.8b against oracle of 3.6b and baseline of 14.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	102
1	77	102

end0.0ms

sample790.0ms

Algorithm

intervals

Results

260.0ms	6555×	body	80	valid
61.0ms	441×	body	640	valid
50.0ms	1265×	body	80	invalid
49.0ms	467×	body	320	valid
49.0ms	276×	body	1280	valid
25.0ms	243×	body	160	valid
4.0ms	18×	body	2560	valid

Details

analyze992.0ms

sample29.0ms

simplify69.0ms

prune4.0ms

localize9.0ms

rewrite39.0ms

series99.0ms

simplify43.0ms

prune177.0ms

localize13.0ms

rewrite37.0ms

series99.0ms

simplify40.0ms

prune133.0ms

localize13.0ms

rewrite44.0ms

series141.0ms

simplify51.0ms

prune164.0ms

localize13.0ms

rewrite34.0ms

series191.0ms

simplify70.0ms

prune125.0ms

regimes729.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample790.0ms

Profiling