Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

363×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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)

series57.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) t)
32.0ms	(fma (/ (- y x) t) z x)

simplify43.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (13.0ms)

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

prune125.0ms

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)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

9.0ms	(* (- y x) (/ 1 t))
1.0ms	(fma (* (- y x) (/ 1 t)) z x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- y x) (/ 1 t))
35.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify33.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	277	304
1	1127	260
2	5001	239

prune128.0ms

Filtered

60 candidates to 40 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize11.0ms

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)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
12×	`times-frac`
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`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `fma-udef` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 73

Calls

3 calls:

5.0ms	(- x (/ (* x z) t))
1.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
4.0ms	(/ (* x z) t)

series83.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- x (/ (* x z) t))
33.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
19.0ms	(/ (* x z) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	323	706
1	1341	498
2	5001	494

prune161.0ms

Filtered

82 candidates to 51 candidates (62.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
204×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
195×	`add-cube-cbrt`
132×	`prod-diff`
17×	`div-inv`
13×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `fma-udef` `distribute-lft-out--`

Counts

3 → 235

Calls

3 calls:

17.0ms	(- x (/ x (/ t z)))
1.0ms	(fma (/ z t) y (- x (/ x (/ t z))))
6.0ms	(/ x (/ t z))

series93.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- x (/ x (/ t z)))
32.0ms	(fma (/ z t) y (- x (/ x (/ t z))))
20.0ms	(/ x (/ t z))

simplify59.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1260	5019
1	5001	3384

prune469.0ms

Filtered

244 candidates to 135 candidates (55.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	244	6	250

Merged error: 0.0b

Counts

250 → 6

regimes173.0ms

Accuracy

27.1% (1.4b remaining)

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

bsearch75.0ms

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

sample572.0ms

Algorithm

intervals

Results

293.0ms

10685×

body

valid