Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

281×

body

valid

simplify81.0ms

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

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))
1.4b	(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:

10.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series142.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- y z) (- a z))
86.0ms	(fma (/ (- y z) (- a z)) t x)

simplify68.0ms

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

prune181.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.4b	(/ 1 (/ (- a z) (- y z)))
1.4b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite42.0ms

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:

10.0ms	(/ (- a z) (- y z))
17.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series424.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- a z) (- y z))
158.0ms	(/ 1 (/ (- a z) (- y z)))
205.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify88.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (66.0ms)

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

prune387.0ms

Filtered

223 candidates to 107 candidates (48.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	224	5	229

Merged error: 0.0b

Counts

229 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma (/ (- y z) (- a z)) t x)) (cbrt (fma (/ (- y z) (- a z)) t x)))
1.4b	(fma (/ (- y z) (- a z)) t x)
1.4b	(fma (/ (- y z) (- a z)) t x)
1.4b	(fma (/ (- y z) (- a z)) t x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (fma (/ (- y z) (- a z)) t x)) (cbrt (fma (/ (- y z) (- a z)) t x)))
1.0ms	(fma (/ (- y z) (- a z)) t x)
1.0ms	(fma (/ (- y z) (- a z)) t x)
1.0ms	(fma (/ (- y z) (- a z)) t x)

series1.2s

Counts

4 → 12

Calls

4 calls:

965.0ms	(* (cbrt (fma (/ (- y z) (- a z)) t x)) (cbrt (fma (/ (- y z) (- a z)) t x)))
93.0ms	(fma (/ (- y z) (- a z)) t x)
90.0ms	(fma (/ (- y z) (- a z)) t x)
95.0ms	(fma (/ (- y z) (- a z)) t x)

simplify97.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	184	774
1	643	701
2	2848	626
3	5001	614

prune280.0ms

Filtered

84 candidates to 66 candidates (78.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ t (- a z)) (- y z)) x)
0.0b	(/ t (- a z))
10.8b	(* (/ t (- a z)) (- y z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

15.0ms	(+ (* (/ t (- a z)) (- y z)) x)
6.0ms	(/ t (- a z))
15.0ms	(* (/ t (- a z)) (- y z))

series492.0ms

Counts

3 → 9

Calls

3 calls:

269.0ms	(+ (* (/ t (- a z)) (- y z)) x)
35.0ms	(/ t (- a z))
187.0ms	(* (/ t (- a z)) (- y z))

simplify82.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	567	1124
1	2257	891
2	5001	883

prune356.0ms

Filtered

154 candidates to 109 candidates (70.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	153	6	159

Merged error: 0b

Counts

159 → 6

regimes254.0ms

Accuracy

53.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	25
1	29	25

end0.0ms

sample594.0ms

Algorithm

intervals

Results

325.0ms	8743×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid