Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	251×	body	80	valid
2.0ms	11×	body	1280	valid
2.0ms	12×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	2×	body	2560	valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune13.0ms

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: 11.0b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.2b	(fma (/ (- y z) (- a z)) (- t x) 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:

9.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
119.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (57.0ms)

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

prune211.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	11	72

Merged error: 3.4b

Counts

72 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.2b	(/ 1 (/ (- a z) (- y z)))
3.2b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite39.0ms

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

series321.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- a z) (- y z))
141.0ms	(/ 1 (/ (- a z) (- y z)))
129.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (59.0ms)

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

prune390.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	216	7	223
Fresh	3	6	9
Picked	1	0	1
Done	1	0	1
Total	221	13	234

Merged error: 3.4b

Counts

234 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
2.0b	(/ (- t x) (/ (- a z) (- y z)))
2.7b	(+ (/ (- t x) (/ (- a z) (- y z))) x)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

9.0ms	(/ (- a z) (- y z))
17.0ms	(/ (- t x) (/ (- a z) (- y z)))
66.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)

series430.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- a z) (- y z))
212.0ms	(/ (- t x) (/ (- a z) (- y z)))
163.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)

simplify124.0ms

Algorithm

egg-herbie

Counts

449 → 449

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	1043	3090
1	4307	3014
2	5001	3012

prune962.0ms

Filtered

449 candidates to 269 candidates (59.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	440	9	449
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	448	14	462

Merged error: 3.3b

Counts

462 → 14

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- y z) (/ 1 (- a z)))
4.7b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite23.0ms

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)

series204.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- a z))
52.0ms	(* (- y z) (/ 1 (- a z)))
117.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (37.0ms)

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

prune229.0ms

Filtered

114 candidates to 72 candidates (63.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	114	14	128

Merged error: 3.3b

Counts

128 → 14

regimes392.0ms

Accuracy

25.9% (6.2b remaining)

Error of 9.3b against oracle of 3.1b and baseline of 11.4b

bsearch63.0ms

Steps

Iters	Range		Point
6	1.2267941376108159e+216	6.778178219820912e+216	1.4177224063350496e+216
4	-2.3151170337336688e+173	-1.3452309363883822e+173	-2.2848080931916287e+173

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11

end0.0ms

sample799.0ms

Algorithm

intervals

Results

322.0ms	7884×	body	80	valid
66.0ms	455×	body	640	valid
51.0ms	278×	body	1280	valid
47.0ms	396×	body	320	valid
19.0ms	253×	body	160	valid
4.0ms	18×	body	2560	valid