Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.9b	(fma (/ (- y z) (- a z)) t x)

rewrite15.0ms

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:

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

series137.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y z) (- a z))
86.0ms	(fma (/ (- y z) (- a z)) t x)

simplify70.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.2b	(/ 1 (/ (- a z) (- y z)))
1.9b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite41.0ms

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:

13.0ms	(/ (- a z) (- y z))
15.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series392.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a z) (- y z))
143.0ms	(/ 1 (/ (- a z) (- y z)))
200.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify68.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (50.0ms)

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

prune410.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
8.7b	(* (/ t (- a z)) (- y z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
34×	`add-cube-cbrt`
31×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-r` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 109

Calls

2 calls:

5.0ms	(/ t (- a z))
26.0ms	(* (/ t (- a z)) (- y z))

series197.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ t (- a z))
162.0ms	(* (/ t (- a z)) (- y z))

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	472	839
1	1987	675
2	5001	669

prune283.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.6b	(/ 1 (/ (- a z) t))
8.7b	(* (/ 1 (/ (- a z) t)) (- y z))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
195×	`add-sqr-sqrt`
183×	`*-un-lft-identity`
129×	`add-cube-cbrt`
62×	`associate-l`
35×	`add-exp-log`
26×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
19×	`add-cbrt-cube`
18×	`prod-diff`
15×	`div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`div-inv`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`associate-r` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `flip3--` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `sub-neg` `frac-2neg` `associate-*r/` `clear-num` `associate-/r/` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

3 → 262

Calls

3 calls:

12.0ms	(/ (- a z) t)
9.0ms	(/ 1 (/ (- a z) t))
44.0ms	(* (/ 1 (/ (- a z) t)) (- y z))

series276.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- a z) t)
73.0ms	(/ 1 (/ (- a z) t))
172.0ms	(* (/ 1 (/ (- a z) t)) (- y z))

simplify117.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	886	2080
1	4435	1702
2	5001	1698

prune669.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample548.0ms

Algorithm

intervals

Results

278.0ms	8736×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid