Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	81×	body	1280	valid
8.0ms	48×	body	640	valid
2.0ms	16×	body	2560	valid
2.0ms	25×	body	320	valid
2.0ms	71×	body	80	valid
1.0ms	15×	body	160	valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

7.0ms	(+ (* x y) z)
48.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* x y) z)
39.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	178	220
1	602	204
2	2697	203
3	5001	203

prune88.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 42.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
4.2b	(- (* (* x y) (* x y)) (* z z))
11.0b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
32.2b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*`
2×	`sub-neg` `pow-plus` `div-sub` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `pow2` `associate-+r-` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv` `distribute-lft-out` `associate--r+` `associate--r-`

Counts

4 → 101

Calls

4 calls:

25.0ms	(* (* x y) (* x y))
28.0ms	(- (* (* x y) (* x y)) (* z z))
206.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
74.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series228.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x y) (* x y))
63.0ms	(- (* (* x y) (* x y)) (* z z))
74.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
59.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify60.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	427	979
1	2002	820
2	5001	784

prune281.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 42.6b

localize14.0ms

Local error

Found 4 expressions with local error:

1.9b	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
9.1b	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
19.7b	(/ (* (* x y) (* x y)) (- (* x y) z))
23.0b	(/ (* z z) (- (* x y) z))

rewrite614.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`add-log-exp`
10×	`add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
7×	`cbrt-undiv` `div-exp`
6×	`times-frac` `associate-/r*`
5×	`sum-log` `distribute-lft-out`
4×	`pow1` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`
2×	`sub-neg` `associate-+l+` `frac-2neg` `frac-add` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `associate--r+` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

482.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
71.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
37.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))
21.0ms	(/ (* z z) (- (* x y) z))

series242.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
63.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
42.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))
60.0ms	(/ (* z z) (- (* x y) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	517	1148
1	2723	1043
2	5002	1043

prune309.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.6b

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(+ (- (fma x y z) (+ 1.0 (/ (* x y) (/ (- (* x y) z) (* x y))))) (/ (* z z) (- (* x y) z)))
7.9b	(- (fma x y z) (+ 1.0 (/ (* x y) (/ (- (* x y) z) (* x y)))))
9.1b	(/ (- (* x y) z) (* x y))
23.0b	(/ (* z z) (- (* x y) z))

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`add-log-exp`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`times-frac`
5×	`sum-log` `distribute-lft-out`
4×	`pow1` `cbrt-undiv` `flip3--` `diff-log` `div-exp` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`
2×	`sub-neg` `associate-+l+` `frac-2neg` `frac-add` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3-+` `div-sub` `flip-+` `associate--r+` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

441.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* x y) (/ (- (* x y) z) (* x y))))) (/ (* z z) (- (* x y) z)))
63.0ms	(- (fma x y z) (+ 1.0 (/ (* x y) (/ (- (* x y) z) (* x y)))))
23.0ms	(/ (- (* x y) z) (* x y))
17.0ms	(/ (* z z) (- (* x y) z))

series249.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* x y) (/ (- (* x y) z) (* x y))))) (/ (* z z) (- (* x y) z)))
62.0ms	(- (fma x y z) (+ 1.0 (/ (* x y) (/ (- (* x y) z) (* x y)))))
48.0ms	(/ (- (* x y) z) (* x y))
61.0ms	(/ (* z z) (- (* x y) z))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	460	1035
1	1955	960
2	5001	960

prune244.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 42.6b

regimes327.0ms

Accuracy

0% (1.2b remaining)

Error of 45.4b against oracle of 44.3b and baseline of 45.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	23
1	21	23

end0.0ms

sample938.0ms

Algorithm

intervals

Results

319.0ms	2611×	body	1280	valid
155.0ms	1613×	body	640	valid
85.0ms	579×	body	2560	valid
60.0ms	731×	body	320	valid
57.0ms	2072×	body	80	valid
19.0ms	394×	body	160	valid