Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

275×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(fma (/ (- y z) (- a z)) t x)

rewrite14.0ms

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)

series121.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- y z) (- a z))
73.0ms	(fma (/ (- y z) (- a z)) t x)

simplify53.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (6.0ms)

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

prune176.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.2b	(/ 1 (/ (- a z) (- y z)))
1.5b	(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:

12.0ms	(/ (- a z) (- y z))
18.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series360.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- a z) (- y z))
137.0ms	(/ 1 (/ (- a z) (- y z)))
177.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify70.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (51.0ms)

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

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (/ 1 (- a z)) (- y z))
1.5b	(fma (* (/ 1 (- a z)) (- y z)) t x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `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` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

6.0ms	(/ 1 (- a z))
26.0ms	(* (/ 1 (- a z)) (- y z))
0.0ms	(fma (* (/ 1 (- a z)) (- y z)) t x)

series350.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- a z))
137.0ms	(* (/ 1 (- a z)) (- y z))
179.0ms	(fma (* (/ 1 (- a z)) (- y z)) t x)

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	488	928
1	2037	685
2	5001	639

prune276.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.5b	(fma (/ 1 (* (/ (* (cbrt (- a z)) (cbrt (- a z))) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- a z)) (cbrt (- y z))))) t x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
0.0ms	(fma (/ 1 (* (/ (* (cbrt (- a z)) (cbrt (- a z))) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- a z)) (cbrt (- y z))))) t x)

series636.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- a z))
148.0ms	(cbrt (- a z))
154.0ms	(cbrt (- a z))
179.0ms	(fma (/ 1 (* (/ (* (cbrt (- a z)) (cbrt (- a z))) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (cbrt (- a z)) (cbrt (- y z))))) t x)

simplify59.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	198	605
1	476	540
2	1741	511
3	5001	490

prune334.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

68.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	22
1	25	22

end0.0ms

sample758.0ms

Algorithm

intervals

Results

501.0ms	8690×	body	80	valid
0.0ms	3×	body	160	valid