Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	259×	body	80	valid
3.0ms	15×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	5×	body	1280	valid
1.0ms	8×	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

prune2.0ms

Filtered

1 candidates to 0 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: 15.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.6b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.9b	(* (- y z) (/ (- t x) (- a z)))

rewrite37.0ms

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

series336.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- t x) (- a z))
158.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
129.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5001	820

prune307.0ms

Filtered

128 candidates to 88 candidates (68.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	116	12	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	13	129

Merged error: 3.6b

Counts

129 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.0b	(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
7.7b	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
24.0ms	(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
3.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- a z))
153.0ms	(cbrt (- a z))
283.0ms	(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
156.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	668	1363
1	2615	1151
2	5001	1129

prune344.0ms

Filtered

97 candidates to 74 candidates (76.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	97	13	110

Merged error: 3.6b

Counts

110 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.2b	(/ 1 (/ (- a z) (- t x)))
5.0b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
6.9b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite85.0ms

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:

9.0ms	(/ (- a z) (- t x))
17.0ms	(/ 1 (/ (- a z) (- t x)))
3.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
35.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series725.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (- a z) (- t x))
203.0ms	(/ 1 (/ (- a z) (- t x)))
155.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
316.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify65.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1010	3037
1	5001	2740

prune677.0ms

Filtered

356 candidates to 207 candidates (58.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	353	3	356
Fresh	2	8	10
Picked	1	0	1
Done	1	1	2
Total	357	12	369

Merged error: 3.6b

Counts

369 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.6b	(* (/ (- y z) (- a z)) (- t x))
2.8b	(+ x (* (/ (- y z) (- a z)) (- t x)))

rewrite37.0ms

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:

8.0ms	(/ (- y z) (- a z))
20.0ms	(* (/ (- y z) (- a z)) (- t x))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

series514.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- y z) (- a z))
303.0ms	(* (/ (- y z) (- a z)) (- t x))
158.0ms	(+ 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	5001	879

prune414.0ms

Filtered

136 candidates to 90 candidates (66.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	136	12	148

Merged error: 3.6b

Counts

148 → 12

regimes325.0ms

Accuracy

61.4% (2.9b remaining)

Error of 7.0b against oracle of 4.1b and baseline of 11.6b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	25
1	40	25

end0.0ms

sample751.0ms

Algorithm

intervals

Results

296.0ms	7783×	body	80	valid
66.0ms	469×	body	640	valid
48.0ms	276×	body	1280	valid
45.0ms	397×	body	320	valid
19.0ms	264×	body	160	valid
5.0ms	23×	body	2560	valid