Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify81.0ms

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.7b	(fma (/ (- y z) (- a z)) t 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)

series129.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (- a z))
78.0ms	(fma (/ (- y z) (- a z)) t x)

simplify63.0ms

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

prune172.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.8b	(/ 1 (/ (- a z) (- y z)))
1.7b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite34.0ms

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))
12.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series361.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- a z) (- y z))
135.0ms	(/ 1 (/ (- a z) (- y z)))
179.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify78.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (54.0ms)

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

prune334.0ms

Filtered

223 candidates to 107 candidates (48.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	224	4	228

Merged error: 0b

Counts

228 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
7.3b	(* (/ t (- a z)) (- y z))

rewrite23.0ms

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))
13.0ms	(* (/ t (- a z)) (- y z))

series186.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ t (- a z))
157.0ms	(* (/ t (- a z)) (- y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (50.0ms)

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

prune216.0ms

Filtered

115 candidates to 75 candidates (65.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.7b	(pow (cbrt y) 3)
3.5b	(/ (pow (cbrt y) 3) (/ (- a z) t))
6.2b	(/ z (/ (- a z) t))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

744×	`times-frac`
475×	`add-sqr-sqrt` `*-un-lft-identity`
337×	`add-cube-cbrt`
129×	`cbrt-prod`
126×	`unpow-prod-down` `cube-prod`
69×	`distribute-lft-out--` `difference-of-squares`
38×	`associate-/r*`
25×	`div-inv`
23×	`add-exp-log`
21×	`cube-mult` `unpow3` `associate-/l*` `sqr-pow`
14×	`add-cbrt-cube`
12×	`div-exp`
6×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`pow-pow` `frac-2neg` `pow1/3` `clear-num` `associate-/r/`
1×	`rem-cube-cbrt`

Counts

4 → 541

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(pow (cbrt y) 3)
18.0ms	(/ (pow (cbrt y) 3) (/ (- a z) t))
9.0ms	(/ z (/ (- a z) t))

series623.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
232.0ms	(pow (cbrt y) 3)
118.0ms	(/ (pow (cbrt y) 3) (/ (- a z) t))
86.0ms	(/ z (/ (- a z) t))

simplify106.0ms

Algorithm

egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1330	5210
1	5001	4812

prune1.1s

Filtered

553 candidates to 234 candidates (42.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	553	4	557

Merged error: 0b

Counts

557 → 4

regimes204.0ms

Accuracy

95.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	18
1	27	18

end0.0ms

sample531.0ms

Algorithm

intervals

Results

274.0ms	8743×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid