Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	242×	body	80	valid
2.0ms	15×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	3×	body	1280	valid

simplify87.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- y z) (- a z))
4.4b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite16.0ms

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:

13.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- a z))
123.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (58.0ms)

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

prune222.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- y z) (- a z))
2.1b	(* (/ (- y z) (- a z)) (- t x))
3.8b	(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
51×	`add-cube-cbrt` `times-frac`
36×	`prod-diff`
31×	`associate-l`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 170

Calls

3 calls:

12.0ms	(/ (- y z) (- a z))
38.0ms	(* (/ (- y z) (- a z)) (- t x))
15.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

series547.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- y z) (- a z))
312.0ms	(* (/ (- y z) (- a z)) (- t x))
179.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	682	1497
1	2657	1254
2	5002	1252

prune476.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- y z) (- a z))
0.1b	(/ (- y z) (- a z))
1.7b	(* t (/ (- y z) (- a z)))
4.3b	(fma (- x) (/ (- y z) (- a z)) x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

113×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
76×	`times-frac`
40×	`add-cube-cbrt`
34×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r` `associate-/l`
6×	`pow1` `associate-/r/`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `fma-udef`

Counts

4 → 170

Calls

4 calls:

12.0ms	(/ (- y z) (- a z))
12.0ms	(/ (- y z) (- a z))
28.0ms	(* t (/ (- y z) (- a z)))
0.0ms	(fma (- x) (/ (- y z) (- a z)) x)

series261.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (- y z) (- a z))
50.0ms	(/ (- y z) (- a z))
72.0ms	(* t (/ (- y z) (- a z)))
83.0ms	(fma (- x) (/ (- y z) (- a z)) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	381	1106
1	1480	1040
2	5001	1040

prune553.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- y z) (- a z))
0.5b	(/ 1 (/ (- a z) (- y z)))
1.7b	(* t (/ 1 (/ (- a z) (- y z))))
4.3b	(fma (- x) (/ (- y z) (- a z)) x)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 343

Calls

4 calls:

12.0ms	(/ (- y z) (- a z))
15.0ms	(/ 1 (/ (- a z) (- y z)))
55.0ms	(* t (/ 1 (/ (- a z) (- y z))))
0.0ms	(fma (- x) (/ (- y z) (- a z)) x)

series439.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (- y z) (- a z))
145.0ms	(/ 1 (/ (- a z) (- y z)))
155.0ms	(* t (/ 1 (/ (- a z) (- y z))))
84.0ms	(fma (- x) (/ (- y z) (- a z)) x)

simplify115.0ms

Algorithm

egg-herbie

Counts

355 → 355

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	995	2834
1	4923	2518
2	5001	2518

prune968.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

regimes348.0ms

Accuracy

31.3% (2.9b remaining)

Error of 6.1b against oracle of 3.2b and baseline of 7.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	32
1	44	32

end0.0ms

sample703.0ms

Algorithm

intervals

Results

267.0ms	7803×	body	80	valid
65.0ms	497×	body	640	valid
42.0ms	416×	body	320	valid
37.0ms	238×	body	1280	valid
18.0ms	289×	body	160	valid
2.0ms	12×	body	2560	valid