Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	44	4
2	114	4
3	220	4
4	354	4
5	550	4
6	1669	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.7b	(/ (* x (+ (- y z) 1.0)) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

74.0ms	(* x (+ (- y z) 1.0))
40.0ms	(/ (* x (+ (- y z) 1.0)) z)

series77.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (- y z) 1.0))
42.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	254	285
1	1225	238
2	5001	238

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.2b	(/ x (/ z (+ (- y z) 1.0)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

37.0ms	(/ z (+ (- y z) 1.0))
41.0ms	(/ x (/ z (+ (- y z) 1.0)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ z (+ (- y z) 1.0))
47.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	455	1177
1	2110	1129
2	5002	1126

prune233.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))))
3.5b	(cbrt (/ z (+ (- y z) 1.0)))
3.5b	(cbrt (/ z (+ (- y z) 1.0)))
3.5b	(cbrt (/ z (+ (- y z) 1.0)))

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

185×	`times-frac`
182×	`*-un-lft-identity`
132×	`cbrt-prod`
120×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
77×	`associate-r`
49×	`add-exp-log`
36×	`distribute-lft-out`
20×	`prod-exp`
18×	`add-cbrt-cube` `distribute-lft-out--`
16×	`associate-/r/`
15×	`div-exp`
12×	`unswap-sqr`
10×	`associate-l`
8×	`cbrt-div` `cbrt-unprod` `div-inv`
7×	`cbrt-undiv`
6×	`pow1` `flip3-+` `flip-+`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 221

Calls

4 calls:

423.0ms	(* (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))))
17.0ms	(cbrt (/ z (+ (- y z) 1.0)))
20.0ms	(cbrt (/ z (+ (- y z) 1.0)))
18.0ms	(cbrt (/ z (+ (- y z) 1.0)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))))
128.0ms	(cbrt (/ z (+ (- y z) 1.0)))
126.0ms	(cbrt (/ z (+ (- y z) 1.0)))
127.0ms	(cbrt (/ z (+ (- y z) 1.0)))

simplify109.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	906	3441
1	4269	3106
2	5002	2910

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
8.0b	(/ (* x y) z)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

14.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
86.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
9.0ms	(/ (* x y) z)

series109.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
41.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
23.0ms	(/ (* x y) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	254	367
1	1124	344
2	5002	325

prune109.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample545.0ms

Algorithm

intervals

Results

246.0ms

10186×

body

valid