Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	244×	body	80	valid
2.0ms	15×	body	1280	valid
1.0ms	13×	body	320	valid
1.0ms	9×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	160	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.2b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite13.0ms

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:

10.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series202.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- y z) (- a z))
144.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (72.0ms)

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

prune247.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.2b	(fma (* 1 (/ (- y z) (- a z))) (- t x) x)

rewrite13.0ms

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:

9.0ms	(/ (- y z) (- a z))
1.0ms	(fma (* 1 (/ (- y z) (- a z))) (- t x) x)

series173.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
120.0ms	(fma (* 1 (/ (- y z) (- a z))) (- t x) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	269	462
1	794	434
2	2997	432
3	5001	430

prune230.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
3.2b	(fma (* 1 (/ 1 (/ (- a z) (- y z)))) (- t x) x)

rewrite36.0ms

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:

9.0ms	(/ (- a z) (- y z))
14.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (* 1 (/ 1 (/ (- a z) (- y z)))) (- t x) x)

series323.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a z) (- y z))
136.0ms	(/ 1 (/ (- a z) (- y z)))
133.0ms	(fma (* 1 (/ 1 (/ (- a z) (- y z)))) (- t x) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	630	1921
1	2798	1734
2	5001	1563

prune456.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
4.7b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a z))
18.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series214.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a z))
51.0ms	(* (- y z) (/ 1 (- a z)))
123.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	340	602
1	1472	525
2	5002	481

prune277.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.3b

regimes324.0ms

Accuracy

20.8% (6.4b remaining)

Error of 10.1b against oracle of 3.7b and baseline of 11.8b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	42
1	43	42
2	43	42

end0.0ms

sample704.0ms

Algorithm

intervals

Results

262.0ms	7742×	body	80	valid
63.0ms	524×	body	640	valid
43.0ms	415×	body	320	valid
39.0ms	259×	body	1280	valid
14.0ms	220×	body	160	valid
3.0ms	17×	body	2560	valid