Details

sample43.0ms

Algorithm

intervals

Results

26.0ms

350×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.4b	(/ y (* z 3.0))
6.0b	(/ t (* (* z 3.0) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
15×	`times-frac`
9×	`pow1` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`cbrt-undiv` `fma-def` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

45.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms	(* (* z 3.0) y)
3.0ms	(/ y (* z 3.0))
7.0ms	(/ t (* (* z 3.0) y))

series160.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
26.0ms	(* (* z 3.0) y)
21.0ms	(/ y (* z 3.0))
32.0ms	(/ t (* (* z 3.0) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	500	905
1	2477	746
2	5001	698

prune362.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ t (* (* z 3.0) y))))
0.2b	(* (* z 3.0) y)
0.3b	(* (/ y 3.0) (/ 1 z))
6.0b	(/ t (* (* z 3.0) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
39×	`add-sqr-sqrt`
30×	`add-cbrt-cube`
28×	`times-frac`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l` `prod-exp`
11×	`pow1` `div-exp`
10×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`fma-def` `div-inv` `associate-/l*`
2×	`rec-exp` `1-exp` `*-commutative` `fma-udef`
1×	`+-commutative` `frac-times` `associate-+l+` `associate-+r+` `frac-2neg` `flip3-+` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `sum-log` `un-div-inv` `flip-+` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

3.0ms	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ t (* (* z 3.0) y))))
6.0ms	(* (* z 3.0) y)
14.0ms	(* (/ y 3.0) (/ 1 z))
7.0ms	(/ t (* (* z 3.0) y))

series167.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ t (* (* z 3.0) y))))
20.0ms	(* (* z 3.0) y)
19.0ms	(* (/ y 3.0) (/ 1 z))
31.0ms	(/ t (* (* z 3.0) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	626	896
1	2953	764
2	5003	740

prune466.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (* 0.3333333333333333 (/ t (* z y)))))
0.2b	(* 0.3333333333333333 (/ t (* z y)))
0.3b	(* (/ y 3.0) (/ 1 z))
6.0b	(/ t (* z y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (* 0.3333333333333333 (/ t (* z y)))))
10.0ms	(* 0.3333333333333333 (/ t (* z y)))
14.0ms	(* (/ y 3.0) (/ 1 z))
3.0ms	(/ t (* z y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (* 0.3333333333333333 (/ t (* z y)))))
36.0ms	(* 0.3333333333333333 (/ t (* z y)))
20.0ms	(* (/ y 3.0) (/ 1 z))
23.0ms	(/ t (* z y))

simplify74.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	622	919
1	2749	798
2	5001	776

prune500.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (* 0.3333333333333333 (/ (/ t z) y))))
0.2b	(* 0.3333333333333333 (/ (/ t z) y))
0.3b	(* (/ y 3.0) (/ 1 z))
4.1b	(/ (/ t z) y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

169×	`times-frac`
123×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
97×	`add-cube-cbrt`
56×	`associate-r`
40×	`add-exp-log`
30×	`add-cbrt-cube`
16×	`associate-l`
14×	`div-exp`
13×	`associate-/l*`
11×	`prod-exp` `div-inv`
10×	`cbrt-undiv`
9×	`unswap-sqr`
8×	`pow1`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-/r*`
2×	`rec-exp` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `fma-udef`
1×	`+-commutative` `frac-times` `associate-+l+` `associate-+r+` `frac-2neg` `flip3-+` `associate-*l/` `clear-num` `sum-log` `un-div-inv` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 217

Calls

4 calls:

3.0ms	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (* 0.3333333333333333 (/ (/ t z) y))))
20.0ms	(* 0.3333333333333333 (/ (/ t z) y))
14.0ms	(* (/ y 3.0) (/ 1 z))
6.0ms	(/ (/ t z) y)

series191.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (* 0.3333333333333333 (/ (/ t z) y))))
32.0ms	(* 0.3333333333333333 (/ (/ t z) y))
22.0ms	(* (/ y 3.0) (/ 1 z))
31.0ms	(/ (/ t z) y)

simplify116.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	961	1525
1	4436	1377
2	5002	1353

prune923.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

68.3% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch97.0ms

Steps

Iters	Range		Point
7	0.24914757354793585	29.935257973417514	0.30874432416090675
3	-2.493638312085727e-76	-2.0348778606003366e-76	-2.46496578386789e-76

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	29
1	58	29
2	58	29

end0.0ms

sample1.1s

Algorithm

intervals

Results

826.0ms

10998×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7