Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

318×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
1.9b	(* (/ x y) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

8.0ms	(/ (+ x 4.0) y)
30.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms	(* (/ x y) z)

series94.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 4.0) y)
47.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify118.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	341	425
1	1212	395
2	4978	394
3	5002	394

prune216.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
0.0b	(+ (* 4.0 (/ 1 y)) (/ x y))
1.9b	(* (/ x y) z)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-*l/`
4×	`frac-add` `frac-sub`
3×	`associate-r`
2×	`flip3-+` `diff-log` `associate-*r/` `prod-exp` `sum-log` `un-div-inv` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 64

Calls

3 calls:

70.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
8.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
8.0ms	(* (/ x y) z)

series92.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
29.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
21.0ms	(* (/ x y) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	341	472
1	1450	422
2	5001	401

prune181.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
1.6b	(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`add-cbrt-cube`
18×	`pow1` `add-sqr-sqrt`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-l`
10×	`times-frac`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 86

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
44.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
15.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt z)
177.0ms	(cbrt z)
43.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
113.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	338	616
1	1545	447
2	5002	401

prune272.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* x (/ z y)))
0.0b	(+ (* 4.0 (/ 1 y)) (/ x y))
6.5b	(* x (/ z y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-*r/`
5×	`pow1`
4×	`frac-add` `frac-sub`
3×	`associate-l`
2×	`flip3-+` `diff-log` `prod-exp` `sum-log` `un-div-inv` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 64

Calls

3 calls:

70.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* x (/ z y)))
8.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
11.0ms	(* x (/ z y))

series95.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* x (/ z y)))
26.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
20.0ms	(* x (/ z y))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	366	480
1	1613	438
2	5001	422

prune166.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

71.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.6b

bsearch66.0ms

Steps

Iters	Range		Point
8	7.776433960793369e-144	1.2833011113539485e-140	9.360375788098009e-141
7	-1.1168933957703842e+17	-1012818448386099.9	-7.192134480468753e+16

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample509.0ms

Algorithm

intervals

Results

302.0ms

10055×

body

valid