Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

273×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune7.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.8b	(fma (/ y (- z a)) (- z t) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series100.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ y (- z a))
73.0ms	(fma (/ y (- z a)) (- z t) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune118.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
2.8b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `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 → 99

Calls

3 calls:

5.0ms	(/ 1 (- z a))
10.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series133.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (- z a))
27.0ms	(* y (/ 1 (- z a)))
74.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	288	498
1	1139	430
2	4201	384
3	5002	382

prune166.0ms

Filtered

108 candidates to 65 candidates (60.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.7b	(/ 1 (/ (- z a) y))
2.8b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`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×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

6.0ms	(/ (- z a) y)
8.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series180.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- z a) y)
70.0ms	(/ 1 (/ (- z a) y))
84.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	466	1074
1	1946	948
2	5001	842

prune232.0ms

Filtered

161 candidates to 87 candidates (54.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	3	3
Picked	1	0	1
Done	1	1	2
Total	162	5	167

Merged error: 0.0b

Counts

167 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) y)
11.9b	(/ (- z t) (/ (- z a) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 179

Calls

2 calls:

6.0ms	(/ (- z a) y)
15.0ms	(/ (- z t) (/ (- z a) y))

series117.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- z a) y)
92.0ms	(/ (- z t) (/ (- z a) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	712	1622
1	2783	1571
2	5001	1570

prune334.0ms

Filtered

185 candidates to 124 candidates (67.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	185	5	190

Merged error: 0b

Counts

190 → 5

regimes152.0ms

Accuracy

-4.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.2b

bsearch78.0ms

Steps

Iters	Range		Point
8	1.7424035661331796e-143	2.0374895779959686e-140	2.6902497134281926e-142
8	-2.3281300819889513e-144	-2.506069403358858e-148	-9.999051958865237e-146

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample569.0ms

Algorithm

intervals

Results

315.0ms	8716×	body	80	valid
0.0ms	2×	body	640	valid