Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

431×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	55	7
2	101	7
3	182	7
4	335	7
5	731	7
6	1828	7
7	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
3.5b	(- (+ (* x x) (* y y)) (* z z))
24.2b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

8.0ms	(+ (* x x) (* y y))
38.0ms	(- (+ (* x x) (* y y)) (* z z))
70.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x x) (* y y))
43.0ms	(- (+ (* x x) (* y y)) (* z z))
84.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	337	520
1	1492	454
2	5001	446

prune150.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (pow x 2) y))
0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
6.6b	(/ (pow z 2) y)
9.0b	(/ (pow x 2) y)

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
50×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`add-cube-cbrt`
25×	`unpow-prod-down`
16×	`associate-/l*`
14×	`add-exp-log`
11×	`add-log-exp`
9×	`unpow2` `sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`pow1`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

17.0ms	(+ y (/ (pow x 2) y))
159.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.0ms	(/ (pow z 2) y)
9.0ms	(/ (pow x 2) y)

series111.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ (pow x 2) y))
42.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
19.0ms	(/ (pow z 2) y)
22.0ms	(/ (pow x 2) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	419	838
1	1459	771
2	5001	759

prune332.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ x (/ y x)))
0.0b	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.1b	(/ x (/ y x))
6.6b	(/ (pow z 2) y)

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
63×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-exp-log`
13×	`unpow-prod-down`
11×	`add-cbrt-cube` `associate-/l*` `add-log-exp`
6×	`div-exp` `div-inv`
5×	`unpow2` `difference-of-squares` `sqr-pow`
4×	`pow1` `cbrt-undiv`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-exp` `associate--l+` `associate-/r/` `flip--`

Counts

4 → 154

Calls

4 calls:

22.0ms	(+ y (/ x (/ y x)))
204.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
8.0ms	(/ x (/ y x))
9.0ms	(/ (pow z 2) y)

series117.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ x (/ y x)))
44.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
19.0ms	(/ x (/ y x))
23.0ms	(/ (pow z 2) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	605	1049
1	2708	969
2	5001	963

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.7b	(pow (cbrt z) 4)
2.3b	(* (pow (cbrt z) 4) (/ (pow (cbrt z) 2) y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
53×	`times-frac`
50×	`unpow-prod-down`
37×	`associate-r`
33×	`add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `cbrt-prod`
24×	`unswap-sqr`
15×	`sqr-pow`
12×	`prod-exp`
10×	`associate-l`
9×	`div-exp` `add-cbrt-cube`
8×	`pow-to-exp` `pow-exp`
7×	`unpow2`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-pow` `cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `-commutative` `div-inv`

Counts

4 → 137

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
3.0ms	(pow (cbrt z) 4)
40.0ms	(* (pow (cbrt z) 4) (/ (pow (cbrt z) 2) y))

series628.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt z)
175.0ms	(cbrt z)
225.0ms	(pow (cbrt z) 4)
45.0ms	(* (pow (cbrt z) 4) (/ (pow (cbrt z) 2) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	540	1078
1	2493	881
2	5001	851

prune411.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

53.4% (0.9b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 2.2b

bsearch67.0ms

Steps

Iters	Range		Point
7	-8.868718410322894e-308	2.7610500145364405e-308	1.1428627185424e-311

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	23
1	29	23

end0.0ms

sample827.0ms

Algorithm

intervals

Results

439.0ms

13736×

body

valid