Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

281×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.6b	(fma (/ (- y z) (- a z)) t x)

rewrite31.0ms

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:

24.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series134.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- y z) (- a z))
77.0ms	(fma (/ (- y z) (- a z)) t x)

simplify69.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune210.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.1b	(/ 1 (/ (- a z) (- y z)))
0.6b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite69.0ms

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:

25.0ms	(/ (- a z) (- y z))
31.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series398.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a z) (- y z))
146.0ms	(/ 1 (/ (- a z) (- y z)))
202.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify83.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	620	1891
1	2764	1708
2	5002	1537

prune453.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ 1 (- a z))
0.3b	(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.6b	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

17.0ms	(/ 1 (- y z))
13.0ms	(/ 1 (- a z))
45.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

series416.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (- y z))
37.0ms	(/ 1 (- a z))
147.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
187.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

simplify125.0ms

Algorithm

egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	2185	7536
1	5003	6626

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- y z)))
0.7b	(cbrt (/ 1 (- a z)))
0.7b	(cbrt (/ 1 (- a z)))
0.7b	(cbrt (/ 1 (- a z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-prod`
64×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
40×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 128

Calls

4 calls:

6.0ms	(cbrt (/ 1 (- y z)))
6.0ms	(cbrt (/ 1 (- a z)))
7.0ms	(cbrt (/ 1 (- a z)))
7.0ms	(cbrt (/ 1 (- a z)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (/ 1 (- y z)))
146.0ms	(cbrt (/ 1 (- a z)))
153.0ms	(cbrt (/ 1 (- a z)))
165.0ms	(cbrt (/ 1 (- a z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	355	1092
1	840	1061
2	2971	997
3	5001	872

prune513.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes247.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample612.0ms

Algorithm

intervals

Results

260.0ms	8662×	body	80	valid
0.0ms	1×	body	2560	valid