Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

328×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (14.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

19.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series123.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
68.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify45.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	295	439
1	1099	387
2	5002	384

prune185.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0))
0.0b	(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
0.8b	(/ 1 (* t z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`add-exp-log`
13×	`fma-def`
12×	`associate-+r+` `times-frac`
9×	`prod-diff`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`div-exp`
3×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `frac-add` `sum-log` `fma-udef` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `associate--l+` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

3 → 84

Calls

3 calls:

19.0ms	(+ (/ x y) (- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0))
0.0ms	(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
5.0ms	(/ 1 (* t z))

series122.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (/ x y) (- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0))
46.0ms	(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
13.0ms	(/ 1 (* t z))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	372	589
1	1371	513
2	5002	467

prune251.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0))
0.0b	(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
0.2b	(/ (/ 1 t) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
63×	`*-un-lft-identity`
58×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def` `associate-/l*`
12×	`add-exp-log` `associate-+r+`
9×	`prod-diff`
8×	`add-cbrt-cube` `add-log-exp`
6×	`div-exp` `div-inv`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`frac-add` `sum-log` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate--l+` `clear-num` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

3 → 128

Calls

3 calls:

19.0ms	(+ (/ x y) (- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0))
0.0ms	(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
7.0ms	(/ (/ 1 t) z)

series124.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ x y) (- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0))
51.0ms	(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
13.0ms	(/ (/ 1 t) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	579	950
1	2060	844
2	5003	797

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series772.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt t) (cbrt t))
184.0ms	(cbrt t)
183.0ms	(cbrt t)
187.0ms	(cbrt t)

simplify99.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune329.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample692.0ms

Algorithm

intervals

Results

419.0ms

10450×

body

valid