Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

329×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

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: 8.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

17.0ms	(* (* z 2.0) (- 1.0 t))
18.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series157.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* z 2.0) (- 1.0 t))
52.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
62.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify72.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	553	869
1	2416	670
2	5001	668

prune246.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.5b	(/ 1 (* t z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

11.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(/ 1 (* t z))

series310.0ms

Counts

3 → 9

Calls

3 calls:

264.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
33.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
12.0ms	(/ 1 (* t z))

simplify94.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	227	393
1	815	355
2	3966	341
3	5001	339

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

11.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
7.0ms	(/ (/ 1 t) z)

series108.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
33.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
15.0ms	(/ (/ 1 t) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	435	754
1	1557	686
2	5001	636

prune295.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.3b	(* y (* t z))
3.2b	(* x (* t z))
5.3b	(fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z)))
23.5b	(/ (fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z))) (* y (* t z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/l*`
2×	`associate-r` `*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `fma-udef` `div-inv`

Counts

4 → 75

Calls

4 calls:

6.0ms	(* y (* t z))
6.0ms	(* x (* t z))
0.0ms	(fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z)))
7.0ms	(/ (fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z))) (* y (* t z)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (* t z))
28.0ms	(* x (* t z))
73.0ms	(fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z)))
146.0ms	(/ (fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z))) (* y (* t z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	307	616
1	1289	491
2	5001	488

prune223.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes129.0ms

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	19	8
1	19	8

end0.0ms

sample725.0ms

Algorithm

intervals

Results

453.0ms

10458×

body

valid