Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

282×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.8b	(fma (/ (- y z) (- a z)) t x)

rewrite17.0ms

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)

series117.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- y z) (- a z))
69.0ms	(fma (/ (- y z) (- a z)) t x)

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (7.0ms)

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

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.8b	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a 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)))) (/ (- y z) (cbrt (- a z)))) t x)

series613.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- a z))
147.0ms	(cbrt (- a z))
142.0ms	(cbrt (- a z))
171.0ms	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) t x)

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	193	514
1	454	473
2	1559	455
3	5002	434

prune311.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (- y z) (- a z)) t x))
0.8b	(fma (/ (- y z) (- a z)) t x)
0.8b	(fma (/ (- y z) (- a z)) t x)
0.8b	(fma (/ (- y z) (- a z)) t x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ (- y z) (- a z)) t x))
0.0ms	(fma (/ (- y z) (- a z)) t x)
0.0ms	(fma (/ (- y z) (- a z)) t x)
0.0ms	(fma (/ (- y z) (- a z)) t x)

series670.0ms

Counts

4 → 12

Calls

4 calls:

447.0ms	(cbrt (fma (/ (- y z) (- a z)) t x))
70.0ms	(fma (/ (- y z) (- a z)) t x)
76.0ms	(fma (/ (- y z) (- a z)) t x)
77.0ms	(fma (/ (- y z) (- a z)) t x)

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	118	347
1	274	309
2	1031	306
3	5001	303

prune196.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.2b	(pow (/ (- y z) (- a z)) 3)
0.8b	(fma (cbrt (pow (/ (- y z) (- a z)) 3)) t x)
18.3b	(cbrt (pow (/ (- y z) (- a z)) 3))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-sqr-sqrt` `*-un-lft-identity`
125×	`times-frac`
68×	`cbrt-prod`
62×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
52×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`pow1` `associate-/r` `div-inv` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube` `fma-udef`

Counts

4 → 228

Calls

4 calls:

12.0ms	(/ (- y z) (- a z))
13.0ms	(pow (/ (- y z) (- a z)) 3)
0.0ms	(fma (cbrt (pow (/ (- y z) (- a z)) 3)) t x)
14.0ms	(cbrt (pow (/ (- y z) (- a z)) 3))

series285.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- y z) (- a z))
110.0ms	(pow (/ (- y z) (- a z)) 3)
76.0ms	(fma (cbrt (pow (/ (- y z) (- a z)) 3)) t x)
48.0ms	(cbrt (pow (/ (- y z) (- a z)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	648	1840
1	2697	1728
2	5001	1706

prune452.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes155.0ms

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

sample682.0ms

Algorithm

intervals

Results

426.0ms	8731×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid