Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

334×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (21.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y a) (- t z) x)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma (/ y a) (- t z) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune32.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.5b	(/ (* y (- z t)) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `prod-diff`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/` `div-inv`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `associate-l` `associate-/r*` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 111

Calls

3 calls:

5.0ms	(- x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) a)

series130.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- x (/ (* y (- z t)) a))
33.0ms	(* y (- z t))
49.0ms	(/ (* y (- z t)) a)

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	505	1133
1	2195	751
2	5001	747

prune157.0ms

Filtered

120 candidates to 64 candidates (53.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (* y (- z t)) (/ 1 a)))
0.0b	(* y (- z t))
6.6b	(* (* y (- z t)) (/ 1 a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`prod-diff`
18×	`associate-r`
17×	`add-cbrt-cube`
13×	`prod-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`flip3--` `div-exp` `associate-l` `pow-prod-down` `flip--`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`diff-log` `un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 110

Calls

3 calls:

3.0ms	(- x (* (* y (- z t)) (/ 1 a)))
7.0ms	(* y (- z t))
10.0ms	(* (* y (- z t)) (/ 1 a))

series135.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- x (* (* y (- z t)) (/ 1 a)))
35.0ms	(* y (- z t))
49.0ms	(* (* y (- z t)) (/ 1 a))

simplify74.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	523	827
1	2584	609
2	5001	586

prune168.0ms

Filtered

119 candidates to 64 candidates (53.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.9b	(/ y (/ a (- z t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

465×	`times-frac`
382×	`add-sqr-sqrt`
375×	`*-un-lft-identity`
287×	`add-cube-cbrt`
204×	`prod-diff`
46×	`difference-of-squares`
44×	`distribute-lft-out--`
32×	`associate-/r/`
26×	`associate-/r*`
18×	`div-inv`
15×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 368

Calls

3 calls:

28.0ms	(- x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
9.0ms	(/ y (/ a (- z t)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- x (/ y (/ a (- z t))))
31.0ms	(/ a (- z t))
51.0ms	(/ y (/ a (- z t)))

simplify105.0ms

Algorithm

egg-herbie

Counts

377 → 377

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1708	9303
1	5001	7228

prune621.0ms

Filtered

377 candidates to 198 candidates (52.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	377	0	377
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	377	5	382

Merged error: 0b

Counts

382 → 5

regimes318.0ms

Accuracy

74.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample611.0ms

Algorithm

intervals

Results

302.0ms

10705×

body

valid