Details

sample46.0ms

Algorithm

intervals

Results

31.0ms

317×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

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: 10.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.1b	(/ (+ 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:

18.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series134.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
75.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (42.0ms)

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

prune197.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))
0.7b	(/ 1 (* t z))

rewrite30.0ms

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:

21.0ms	(+ (/ 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))

series134.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (/ x y) (- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0))
51.0ms	(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
15.0ms	(/ 1 (* t z))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (50.0ms)

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

prune272.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite30.0ms

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:

18.0ms	(+ (/ 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)

series141.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (/ x y) (- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0))
56.0ms	(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
15.0ms	(/ (/ 1 t) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

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

prune376.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

23.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
2.0ms	(cbrt (/ 1 t))
2.0ms	(cbrt (/ 1 t))
2.0ms	(cbrt (/ 1 t))

series838.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
211.0ms	(cbrt (/ 1 t))
201.0ms	(cbrt (/ 1 t))
202.0ms	(cbrt (/ 1 t))

simplify51.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	223	1172
1	902	1064
2	5001	904

prune528.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

927.0ms

10272×

body

valid