Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
14.2b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`fma-def`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`neg-mul-1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`neg-sub0` `div-sub` `div-inv`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `distribute-frac-neg` `div-exp` `clear-num` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

14.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
8.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
73.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify124.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	335	784
1	1079	748
2	4829	733
3	5001	733

prune293.0ms

Filtered

127 candidates to 106 candidates (83.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	3	128

Merged error: 0.0b

Counts

128 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.7b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-exp` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

3 → 53

Calls

3 calls:

1.0ms	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
44.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	216	370
1	707	323
2	3378	303
3	5001	298

prune125.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0.0b

Counts

65 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- (fma 0.27061 x 2.30753)) (log (exp (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.7b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
1.4b	(log (exp (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`log-pow`
13×	`exp-prod`
8×	`add-exp-log`
6×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `associate-/r` `associate-/l`
2×	`div-exp` `fma-udef` `div-inv`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `rem-log-exp` `clear-num` `inv-pow`

Counts

4 → 80

Calls

4 calls:

1.0ms	(fma (- (fma 0.27061 x 2.30753)) (log (exp (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
4.0ms	(log (exp (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma (- (fma 0.27061 x 2.30753)) (log (exp (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
43.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
48.0ms	(log (exp (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))

simplify108.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	259	567
1	771	496
2	3444	462
3	5002	452

prune219.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
14.2b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
18.2b	(cbrt (pow (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
109×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
74×	`cbrt-prod`
68×	`unpow-prod-down` `cube-prod`
48×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
16×	`neg-mul-1`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `distribute-frac-neg` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`neg-sub0` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `cube-neg` `clear-num` `rem-cbrt-cube` `fma-udef`

Counts

4 → 246

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
8.0ms	(pow (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
9.0ms	(cbrt (pow (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

series313.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
94.0ms	(pow (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
75.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
119.0ms	(cbrt (pow (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

simplify132.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	848	2763
1	4233	2534
2	5002	2520

prune415.0ms

Filtered

258 candidates to 129 candidates (50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	258	3	261

Merged error: 0.0b

Counts

261 → 3

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample403.0ms

Algorithm

intervals

Results

311.0ms

8000×

body

valid