Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

363×

body

valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

prune6.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.8b	(fma (/ (- y x) t) z x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

6.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series62.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y x) t)
33.0ms	(fma (/ (- y x) t) z x)

simplify47.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune122.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
5.8b	(fma (* (- y x) (/ 1 t)) z x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`frac-times`
16×	`add-cube-cbrt`
13×	`associate-r`
11×	`add-exp-log` `times-frac`
10×	`flip3--` `flip--` `associate-/l*`
9×	`associate-r/` `associate-/r`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `clear-num`
3×	`frac-2neg` `un-div-inv` `unswap-sqr`
2×	`expm1-log1p-u` `div-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 80

Calls

2 calls:

14.0ms	(* (- y x) (/ 1 t))
1.0ms	(fma (* (- y x) (/ 1 t)) z x)

series58.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- y x) (/ 1 t))
33.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	357	461
1	1679	405
2	5001	374

prune163.0ms

Filtered

86 candidates to 52 candidates (60.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* x z) t))
2.5b	(fma (/ z t) y (- x (/ (* x z) t)))
5.5b	(/ (* x z) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

170×	`add-sqr-sqrt`
146×	`times-frac`
137×	`*-un-lft-identity`
135×	`add-cube-cbrt`
120×	`prod-diff`
39×	`associate-r` `associate-l`
14×	`unswap-sqr`
13×	`*-commutative`
12×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `expm1-log1p-u` `fma-neg` `associate-/r*` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--`

Counts

3 → 218

Calls

3 calls:

16.0ms	(- x (/ (* x z) t))
1.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
7.0ms	(/ (* x z) t)

series83.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- x (/ (* x z) t))
31.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
23.0ms	(/ (* x z) t)

simplify118.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	1068	3877
1	4390	2738
2	5001	2736

prune370.0ms

Filtered

227 candidates to 114 candidates (50.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	225	2	227
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	228	6	234

Merged error: 0.0b

Counts

234 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ x (/ t z)))
2.5b	(fma (/ z t) y (- x (/ x (/ t z))))
5.3b	(/ x (/ t z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
220×	`add-sqr-sqrt`
213×	`*-un-lft-identity`
211×	`add-cube-cbrt`
156×	`prod-diff`
36×	`associate-/r/`
25×	`associate-/r*`
17×	`div-inv`
15×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
5×	`frac-2neg` `clear-num` `add-log-exp`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--`

Counts

3 → 267

Calls

3 calls:

23.0ms	(- x (/ x (/ t z)))
1.0ms	(fma (/ z t) y (- x (/ x (/ t z))))
7.0ms	(/ x (/ t z))

series86.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- x (/ x (/ t z)))
37.0ms	(fma (/ z t) y (- x (/ x (/ t z))))
20.0ms	(/ x (/ t z))

simplify70.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1398	5444
1	5002	4072

prune522.0ms

Filtered

276 candidates to 145 candidates (52.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	276	6	282

Merged error: 0.0b

Counts

282 → 6

regimes177.0ms

Accuracy

27.1% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch80.0ms

Steps

Iters	Range		Point
8	1.255399094994687e-64	3.6740553719214317e-60	2.5287059487237927e-61
10	-3.123127953798047e+163	-3.088210918579413e+152	-1.7868664384799845e+153

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample542.0ms

Algorithm

intervals

Results

278.0ms

10685×

body

valid