Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	262×	body	80	valid
2.0ms	16×	body	320	valid
2.0ms	9×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	7×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	44	6
2	122	6
3	327	6
4	868	6
5	1727	6
6	3544	6
7	5001	6

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: 13.7b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.6b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.0b	(* (- y z) (/ (- t x) (- a z)))

rewrite32.0ms

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:

7.0ms	(/ (- t x) (- a z))
3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms	(* (- 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)))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5002	820

prune179.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	115	13	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	13	129

Merged error: 3.8b

Counts

129 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
5.0b	(* (- y z) (* (- t x) (/ 1 (- a z))))
5.6b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ 1 (- a z))
12.0ms	(* (- t x) (/ 1 (- a z)))
15.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))
4.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a z))
14.0ms	(* (- t x) (/ 1 (- a z)))
35.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))
52.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	585	1025
1	2810	908
2	5002	863

prune182.0ms

Filtered

98 candidates to 158 candidates (-61.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	155	16	171

Merged error: 3.8b

Counts

171 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.8b	(/ 1 (/ (- a z) (- t x)))
4.6b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
5.0b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
83×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`cbrt-unprod`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 344

Calls

4 calls:

8.0ms	(/ (- a z) (- t x))
12.0ms	(/ 1 (/ (- a z) (- t x)))
3.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
36.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (- a z) (- t x))
30.0ms	(/ 1 (/ (- a z) (- t x)))
51.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
60.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1010	3037
1	5001	2740

prune327.0ms

Filtered

209 candidates to 356 candidates (-70.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	350	6	356
Fresh	5	9	14
Picked	1	0	1
Done	0	1	1
Total	356	16	372

Merged error: 3.8b

Counts

372 → 16

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.8b	(* (/ (- y z) (- a z)) (- t x))
2.6b	(+ x (* (/ (- y z) (- a z)) (- t x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 127

Calls

3 calls:

7.0ms	(/ (- y z) (- a z))
14.0ms	(* (/ (- y z) (- a z)) (- t x))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

series118.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (- y z) (- a z))
54.0ms	(* (/ (- y z) (- a z)) (- t x))
53.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	522	929
1	1920	879
2	5003	879

prune96.0ms

Filtered

91 candidates to 136 candidates (-49.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	2	12	14
Picked	0	1	1
Done	0	1	1
Total	136	16	152

Merged error: 3.8b

Counts

152 → 16

regimes772.0ms

Accuracy

61% (2.8b remaining)

Error of 7.0b against oracle of 4.2b and baseline of 11.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	24
1	36	24

end0.0ms

sample936.0ms

Algorithm

intervals

Results

287.0ms	7776×	body	80	valid
68.0ms	464×	body	640	valid
47.0ms	261×	body	1280	valid
40.0ms	383×	body	320	valid
20.0ms	279×	body	160	valid
6.0ms	26×	body	2560	valid

Details

sample34.0ms

simplify73.0ms

prune4.0ms

localize13.0ms

rewrite32.0ms

series99.0ms

simplify54.0ms

prune179.0ms

localize10.0ms

rewrite42.0ms

series105.0ms

simplify72.0ms

prune182.0ms

localize11.0ms

rewrite79.0ms

series153.0ms

simplify62.0ms

prune327.0ms

localize12.0ms

rewrite31.0ms

series118.0ms

simplify54.0ms

prune96.0ms

regimes772.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample936.0ms

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