Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	261×	body	80	valid
2.0ms	18×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	7×	body	320	valid
0.0ms	9×	body	160	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1912	5
6	4581	5
7	5001	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.1b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

22.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- y z) (- a z))
117.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	265	450
1	729	425
2	2562	423
3	5002	421

prune209.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
0.0b	(/ z (- a z))
3.1b	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

103.0ms	(- (/ y (- a z)) (/ z (- a z)))
10.0ms	(/ y (- a z))
10.0ms	(/ z (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series255.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (/ y (- a z)) (/ z (- a z)))
31.0ms	(/ y (- a z))
45.0ms	(/ z (- a z))
114.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify187.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	1243	15707
1	3334	11721
2	5001	11629

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a z))
0.0b	(/ (- a z) y)
1.2b	(/ 1 (/ (- a z) y))
3.1b	(fma (- (/ 1 (/ (- a z) y)) (/ z (- a z))) (- t x) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
120×	`add-sqr-sqrt` `*-un-lft-identity`
80×	`add-cube-cbrt`
27×	`associate-/r*`
20×	`distribute-lft-out--` `difference-of-squares`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

4 → 191

Calls

4 calls:

11.0ms	(/ z (- a z))
16.0ms	(/ (- a z) y)
20.0ms	(/ 1 (/ (- a z) y))
0.0ms	(fma (- (/ 1 (/ (- a z) y)) (/ z (- a z))) (- t x) x)

series282.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ z (- a z))
30.0ms	(/ (- a z) y)
67.0ms	(/ 1 (/ (- a z) y))
141.0ms	(fma (- (/ 1 (/ (- a z) y)) (/ z (- a z))) (- t x) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	570	1310
1	2353	1170
2	5001	1059

prune477.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.8b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
0.0ms	(fma (- (/ y (- a z)) (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- a z)))) (- t x) x)

series919.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt z)
182.0ms	(cbrt z)
190.0ms	(cbrt z)
359.0ms	(fma (- (/ y (- a z)) (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- a z)))) (- t x) x)

simplify134.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (129.0ms)

Iter	Nodes	Cost
0	91	309
1	212	275
2	713	266
3	3969	262
4	5001	260

prune226.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.8b

regimes242.0ms

Accuracy

22.7% (6.4b remaining)

Error of 10.0b against oracle of 3.7b and baseline of 11.9b

bsearch69.0ms

Steps

Iters	Range		Point
4	1.0642321506999995e+112	1.5690386718533733e+112	1.3008602074906434e+112
9	-8.821292897968335e+235	-5.4618407581918756e+227	-7.1792620013319e+227

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	12
1	28	12

end0.0ms

sample764.0ms

Algorithm

intervals

Results

246.0ms	7789×	body	80	valid
51.0ms	489×	body	640	valid
36.0ms	279×	body	1280	valid
34.0ms	435×	body	320	valid
16.0ms	249×	body	160	valid
2.0ms	12×	body	2560	valid