Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	250×	body	80	valid
2.0ms	12×	body	1280	valid
2.0ms	15×	body	640	valid
1.0ms	10×	body	320	valid
0.0ms	4×	body	160	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.8b	(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:

23.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series163.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (- a z))
113.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (56.0ms)

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

prune540.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
1.8b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

23.0ms	(/ (- a z) (- y z))
27.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series289.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a z) (- y z))
125.0ms	(/ 1 (/ (- a z) (- y z)))
116.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	630	1909
1	2802	1724
2	5001	1553

prune668.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.2b	(+ (/ (- t x) (/ (- a z) (- y z))) x)
1.8b	(/ (- t x) (/ (- a z) (- y z)))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

23.0ms	(/ (- a z) (- y z))
179.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
41.0ms	(/ (- t x) (/ (- a z) (- y z)))

series387.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- a z) (- y z))
144.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
197.0ms	(/ (- t x) (/ (- a z) (- y z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

449 → 449

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	1043	3090
1	4307	3014
2	5001	3012

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.1b	(/ t (/ (- a z) (- y z)))
1.8b	(/ x (/ (- a z) (- y z)))
3.5b	(- (/ x (/ (- a z) (- y z))) x)

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

1086×	`times-frac`
959×	`add-sqr-sqrt`
952×	`*-un-lft-identity`
526×	`add-cube-cbrt`
294×	`prod-diff`
215×	`difference-of-squares`
213×	`distribute-lft-out--`
98×	`fma-neg`
67×	`associate-/r*`
48×	`associate-/r/`
27×	`div-inv`
23×	`flip3--` `flip--`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 752

Calls

4 calls:

22.0ms	(/ (- a z) (- y z))
27.0ms	(/ t (/ (- a z) (- y z)))
23.0ms	(/ x (/ (- a z) (- y z)))
180.0ms	(- (/ x (/ (- a z) (- y z))) x)

series459.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (- a z) (- y z))
145.0ms	(/ t (/ (- a z) (- y z)))
137.0ms	(/ x (/ (- a z) (- y z)))
133.0ms	(- (/ x (/ (- a z) (- y z))) x)

simplify130.0ms

Algorithm

egg-herbie

Counts

764 → 764

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1571	10166
1	5001	8325

prune3.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.8b

regimes470.0ms

Accuracy

0% (4.1b remaining)

Error of 7.5b against oracle of 3.4b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms

sample770.0ms

Algorithm

intervals

Results

304.0ms	7829×	body	80	valid
66.0ms	459×	body	640	valid
45.0ms	437×	body	320	valid
44.0ms	258×	body	1280	valid
21.0ms	261×	body	160	valid
2.0ms	11×	body	2560	valid