Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	248×	body	80	valid
2.0ms	18×	body	320	valid
2.0ms	13×	body	640	valid
2.0ms	10×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	3×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1912	5
6	4581	5
7	5001	5

prune7.0ms

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: 10.8b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

8.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series155.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- y z) (- a z))
110.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	265	450
1	729	425
2	2562	423
3	5002	421

prune182.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 3.7b

Counts

72 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.3b	(* (/ (- y z) (- a z)) (- t x))
1.6b	(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 170

Calls

3 calls:

8.0ms	(/ (- y z) (- a z))
17.0ms	(* (/ (- y z) (- a z)) (- t x))
15.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

series506.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- y z) (- a z))
291.0ms	(* (/ (- y z) (- a z)) (- t x))
171.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	682	1497
1	2657	1254
2	5002	1252

prune376.0ms

Filtered

179 candidates to 119 candidates (66.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	174	5	179
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	178	11	189

Merged error: 3.7b

Counts

189 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.4b	(/ 1 (/ (- a z) (- y z)))
2.0b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite36.0ms

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:

8.0ms	(/ (- a z) (- y z))
12.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series292.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- a z) (- y z))
130.0ms	(/ 1 (/ (- a z) (- y z)))
116.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	630	1909
1	2802	1724
2	5001	1553

prune362.0ms

Filtered

223 candidates to 108 candidates (48.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	222	12	234

Merged error: 3.7b

Counts

234 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- y z) (/ 1 (- a z)))
4.1b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a z))
13.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series196.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- a z))
46.0ms	(* (- y z) (/ 1 (- a z)))
114.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	340	602
1	1472	525
2	5002	481

prune199.0ms

Filtered

114 candidates to 71 candidates (62.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	114	12	126

Merged error: 3.7b

Counts

126 → 12

regimes339.0ms

Accuracy

21.7% (6.5b remaining)

Error of 10.1b against oracle of 3.5b and baseline of 11.9b

bsearch112.0ms

Steps

Iters	Range		Point
8	2.7754957924394407e-157	4.426179654126689e-153	4.1983362121842287e-156
10	-3.607687969514871e-118	-2.2872698318815147e-131	-1.133677899711763e-127

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

end0.0ms

sample814.0ms

Algorithm

intervals

Results

323.0ms	7757×	body	80	valid
74.0ms	487×	body	640	valid
49.0ms	265×	body	1280	valid
49.0ms	443×	body	320	valid
20.0ms	267×	body	160	valid
3.0ms	11×	body	2560	valid

Details

sample29.0ms

simplify76.0ms

prune7.0ms

localize9.0ms

rewrite11.0ms

series155.0ms

simplify57.0ms

prune182.0ms

localize9.0ms

rewrite48.0ms

series506.0ms

simplify75.0ms

prune376.0ms

localize10.0ms

rewrite36.0ms

series292.0ms

simplify76.0ms

prune362.0ms

localize10.0ms

rewrite26.0ms

series196.0ms

simplify48.0ms

prune199.0ms

regimes339.0ms

bsearch112.0ms

simplify1.0ms

end0.0ms

sample814.0ms

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