Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

267×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
5.1b	(/ (* y z) t)
6.1b	(/ (* y b) t)
12.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`fma-def` `frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 112

Calls

4 calls:

9.0ms	(+ x (/ (* y z) t))
10.0ms	(/ (* y z) t)
11.0ms	(/ (* y b) t)
69.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (/ (* y z) t))
16.0ms	(/ (* y z) t)
17.0ms	(/ (* y b) t)
90.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	472	881
1	2005	817
2	5001	797

prune314.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
5.1b	(/ (* y z) t)
6.1b	(/ (* y b) t)
12.2b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
184×	`times-frac`
89×	`distribute-lft-out`
86×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/r*`
27×	`add-exp-log`
21×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/r/`
10×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
7×	`flip3-+` `flip-+`
5×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp` `frac-add` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `inv-pow`

Counts

4 → 225

Calls

4 calls:

57.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
9.0ms	(/ (* y z) t)
9.0ms	(/ (* y b) t)
94.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
16.0ms	(/ (* y z) t)
18.0ms	(/ (* y b) t)
65.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	677	2796
1	3339	2566
2	5002	2411

prune406.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (+ x (/ (* y z) t))))
2.9b	(fma (/ y t) b (+ a 1.0))
5.1b	(/ (* y z) t)
12.2b	(/ (fma (/ y t) b (+ a 1.0)) (+ x (/ (* y z) t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 166

Calls

4 calls:

21.0ms	(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (+ x (/ (* y z) t))))
0.0ms	(fma (/ y t) b (+ a 1.0))
9.0ms	(/ (* y z) t)
18.0ms	(/ (fma (/ y t) b (+ a 1.0)) (+ x (/ (* y z) t)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

387.0ms	(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (+ x (/ (* y z) t))))
32.0ms	(fma (/ y t) b (+ a 1.0))
16.0ms	(/ (* y z) t)
186.0ms	(/ (fma (/ y t) b (+ a 1.0)) (+ x (/ (* y z) t)))

simplify72.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	526	2028
1	2417	1847
2	5003	1717

prune383.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.5b

localize12.0ms

Local error

Found 3 expressions with local error:

2.7b	(fma (/ y t) z x)
2.9b	(fma (/ y t) b (+ a 1.0))
12.2b	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (/ y t) z x)
0.0ms	(fma (/ y t) b (+ a 1.0))
5.0ms	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series426.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (/ y t) z x)
30.0ms	(fma (/ y t) b (+ a 1.0))
360.0ms	(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	126	417
1	322	376
2	1234	376
3	5002	376

prune160.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

regimes319.0ms

Accuracy

0% (4.3b remaining)

Error of 14.8b against oracle of 10.5b and baseline of 14.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample777.0ms

Algorithm

intervals

Results

364.0ms

8291×

body

valid