Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

276×

body

valid

simplify193.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (54.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune14.0ms

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: 2.4b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
2.4b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

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

series238.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ a (+ (- t z) 1.0))
195.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify171.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	207	330
1	712	301
2	3081	297
3	5002	297

prune147.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 2.1b

Counts

57 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.1b	(* a (/ 1 (+ (- t z) 1.0)))
2.4b	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
32×	`add-sqr-sqrt` `times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log` `distribute-lft-out`
11×	`associate-*r/`
10×	`associate-/r*` `add-cbrt-cube`
8×	`distribute-lft-out--`
7×	`associate-/l*`
6×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `clear-num` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

3 → 111

Calls

3 calls:

10.0ms	(/ 1 (+ (- t z) 1.0))
18.0ms	(* a (/ 1 (+ (- t z) 1.0)))
1.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series297.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 1 (+ (- t z) 1.0))
43.0ms	(* a (/ 1 (+ (- t z) 1.0)))
198.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify106.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	334	622
1	1440	535
2	5001	486

prune224.0ms

Filtered

120 candidates to 68 candidates (56.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	120	8	128

Merged error: 2.1b

Counts

128 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

914×	`*-un-lft-identity`
713×	`times-frac`
566×	`add-sqr-sqrt`
403×	`add-cube-cbrt`
336×	`prod-diff`
149×	`distribute-lft-out--`
142×	`distribute-lft-out`
80×	`difference-of-squares`
52×	`associate-/r/`
34×	`associate-/r*`
30×	`associate-/l*`
26×	`div-inv`
12×	`associate-/l/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`frac-2neg` `clear-num`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate-+l-` `sub-neg` `diff-log` `associate--r-`

Counts

3 → 549

Calls

3 calls:

11.0ms	(/ (+ (- t z) 1.0) a)
60.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
20.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series317.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (+ (- t z) 1.0) a)
110.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
161.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify263.0ms

Algorithm

egg-herbie

Counts

558 → 558

Iterations

Useful iterations: 1 (90.0ms)

Iter	Nodes	Cost
0	2036	17325
1	5001	13555

prune816.0ms

Filtered

558 candidates to 236 candidates (42.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	556	2	558
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	561	5	566

Merged error: 0b

Counts

566 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.1b	(/ (- y z) (+ (- t z) 1.0))
1.2b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

4100×	`times-frac`
3811×	`*-un-lft-identity`
2472×	`add-sqr-sqrt`
1903×	`add-cube-cbrt`
1248×	`prod-diff`
545×	`distribute-lft-out--`
544×	`distribute-lft-out`
279×	`difference-of-squares`
183×	`div-inv`
144×	`associate-/r/`
54×	`flip3-+` `flip-+`
53×	`associate-/l*`
35×	`associate-/r*`
27×	`add-exp-log`
19×	`associate-/l/`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
7×	`frac-2neg` `clear-num`
5×	`div-sub` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 1824

Calls

3 calls:

160.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
12.0ms	(/ (- y z) (+ (- t z) 1.0))
30.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series310.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
64.0ms	(/ (- y z) (+ (- t z) 1.0))
147.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify753.0ms

Algorithm

egg-herbie

Counts

1833 → 1833

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5002	80324

prune4.2s

Filtered

1833 candidates to 892 candidates (48.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1831	2	1833
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	1834	4	1838

Merged error: 0b

Counts

1838 → 4

regimes188.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	31
1	34	31
2	36	31
3	36	31

end0.0ms

sample550.0ms

Algorithm

intervals

Results

302.0ms	8444×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid