Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

270×

body

valid

simplify19.0ms

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: 17.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
6.0b	(/ (* y z) t)
6.7b	(/ (* y b) t)
13.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite51.0ms

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:

4.0ms	(+ x (/ (* y z) t))
3.0ms	(/ (* y z) t)
3.0ms	(/ (* y b) t)
37.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (/ (* y z) t))
18.0ms	(/ (* y z) t)
21.0ms	(/ (* y b) t)
106.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (49.0ms)

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

prune380.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.9b

localize18.0ms

Local error

Found 3 expressions with local error:

2.5b	(fma (/ y t) z x)
6.7b	(/ (* y b) t)
13.6b	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-exp-log`
13×	`add-cbrt-cube`
8×	`times-frac` `associate-/r*`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`div-exp`
4×	`cbrt-undiv` `associate-/r/`
3×	`pow1` `expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `flip3-+` `frac-add` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*`
1×	`1-exp` `fma-udef`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma (/ y t) z x)
3.0ms	(/ (* y b) t)
23.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ (* y b) t)))

series471.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma (/ y t) z x)
19.0ms	(/ (* y b) t)
414.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ (* y b) t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	364	469
1	1509	405
2	5001	402

prune218.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ t (* y b)))
2.5b	(fma (/ y t) z x)
6.8b	(/ t (* y b))
13.6b	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`times-frac`
40×	`*-un-lft-identity`
37×	`add-exp-log`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-cbrt-cube`
17×	`div-exp`
15×	`associate-/r*`
12×	`distribute-lft-out`
11×	`div-inv`
9×	`cbrt-undiv`
7×	`associate-/l*`
6×	`prod-exp`
5×	`pow1` `associate-/r/`
4×	`expm1-log1p-u` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`flip3-+` `frac-add` `flip-+`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

4 → 127

Calls

4 calls:

6.0ms	(/ 1 (/ t (* y b)))
0.0ms	(fma (/ y t) z x)
3.0ms	(/ t (* y b))
43.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (/ t (* y b)))
41.0ms	(fma (/ y t) z x)
22.0ms	(/ t (* y b))
418.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	517	858
1	2295	701
2	5001	694

prune353.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ (/ t y) b))
2.5b	(fma (/ y t) z x)
4.4b	(/ (/ t y) b)
13.6b	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

475×	`times-frac`
248×	`*-un-lft-identity`
232×	`add-sqr-sqrt` `add-cube-cbrt`
53×	`associate-/r*`
37×	`add-exp-log`
27×	`div-inv`
23×	`add-cbrt-cube`
21×	`div-exp`
17×	`associate-/l*`
12×	`distribute-lft-out`
11×	`cbrt-undiv`
5×	`pow1` `associate-/r/`
4×	`expm1-log1p-u` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `clear-num`
2×	`flip3-+` `frac-add` `prod-exp` `flip-+`
1×	`pow-flip` `cbrt-unprod` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 320

Calls

4 calls:

14.0ms	(/ 1 (/ (/ t y) b))
0.0ms	(fma (/ y t) z x)
6.0ms	(/ (/ t y) b)
123.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (/ (/ t y) b))
41.0ms	(fma (/ y t) z x)
28.0ms	(/ (/ t y) b)
427.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

simplify75.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1266	2820
1	5002	2230

prune897.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 12.1b

regimes408.0ms

Accuracy

0% (4.0b remaining)

Error of 15.0b against oracle of 11.0b and baseline of 15.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	24	9
2	24	9

end0.0ms

sample662.0ms

Algorithm

intervals

Results

370.0ms

8282×

body

valid