Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify87.0ms

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

Filtered

1 candidates to 1 candidates (0.0%)

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

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)

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)

series145.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- y z) (- a z))
88.0ms	(fma (/ (- y z) (- a z)) t x)

simplify81.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	256	433
1	702	410
2	2387	410
3	5001	410

prune124.0ms

Filtered

70 candidates to 51 candidates (27.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-r`
20×	`associate-/r*`
16×	`add-exp-log`
14×	`flip3--` `flip--`
13×	`associate-/l*`
11×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`associate-l` `clear-num`
4×	`frac-2neg` `div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

3 → 137

Calls

3 calls:

6.0ms	(/ 1 (- a z))
16.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series184.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- a z))
54.0ms	(* (- y z) (/ 1 (- a z)))
88.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify76.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	415	813
1	2008	728
2	5002	670

prune221.0ms

Filtered

146 candidates to 86 candidates (41.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	146	5	151

Merged error: 0.0b

Counts

151 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
1.5b	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)

rewrite12.0ms

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:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
1.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)

series612.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (- y z))
170.0ms	(cbrt (- y z))
175.0ms	(cbrt (- y z))
90.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)

simplify204.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	187	502
1	427	459
2	1267	444
3	4626	423
4	5001	423

prune204.0ms

Filtered

73 candidates to 66 candidates (9.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) (- y z))
2.0b	(/ t (/ (- a z) (- y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
200×	`add-sqr-sqrt` `*-un-lft-identity`
92×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`div-sub`

Counts

2 → 212

Calls

2 calls:

9.0ms	(/ (- a z) (- y z))
15.0ms	(/ t (/ (- a z) (- y z)))

series231.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- a z) (- y z))
176.0ms	(/ t (/ (- a z) (- y z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	660	1848
1	2971	1795
2	5001	1793

prune364.0ms

Filtered

218 candidates to 148 candidates (32.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	217	5	222

Merged error: 0b

Counts

222 → 5

regimes211.0ms

Accuracy

49.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	26
1	33	26
2	36	26
3	36	26

end0.0ms

sample534.0ms

Algorithm

intervals

Results

272.0ms	8753×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	1280	valid