Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

308×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 9.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.2b	(/ (* x (+ (- y z) 1.0)) z)

rewrite124.0ms

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:

79.0ms	(* x (+ (- y z) 1.0))
43.0ms	(/ (* x (+ (- y z) 1.0)) z)

series64.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (- y z) 1.0))
35.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (7.0ms)

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

prune100.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.1b	(/ x (/ z (+ (- y z) 1.0)))

rewrite90.0ms

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:

39.0ms	(/ z (+ (- y z) 1.0))
43.0ms	(/ x (/ z (+ (- y z) 1.0)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

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

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.7b	(* x (/ (+ (- y z) 1.0) z))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`associate-r`
16×	`add-sqr-sqrt` `times-frac`
11×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
3×	`pow1` `associate-l` `distribute-lft-out--`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

88.0ms

(* x (/ (+ (- y z) 1.0) z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* x (/ (+ (- y z) 1.0) z))

simplify94.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	206	237
1	967	210
2	4357	210
3	5002	210

prune74.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ x (* (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))) (cbrt (/ z (+ (- y z) 1.0)))))
3.4b	(cbrt (/ z (+ (- y z) 1.0)))
3.4b	(cbrt (/ z (+ (- y z) 1.0)))
3.4b	(cbrt (/ z (+ (- y z) 1.0)))

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
63×	`cbrt-prod`
48×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
15×	`cbrt-div`
13×	`add-exp-log` `associate-/r/`
9×	`add-cbrt-cube` `distribute-lft-out--`
5×	`frac-times` `associate-*l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3-+` `pow1/3` `associate-r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 120

Calls

4 calls:

199.0ms	(/ x (* (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))) (cbrt (/ z (+ (- y z) 1.0)))))
19.0ms	(cbrt (/ z (+ (- y z) 1.0)))
210.0ms	(cbrt (/ z (+ (- y z) 1.0)))
19.0ms	(cbrt (/ z (+ (- y z) 1.0)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ x (* (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))) (cbrt (/ z (+ (- y z) 1.0)))))
108.0ms	(cbrt (/ z (+ (- y z) 1.0)))
112.0ms	(cbrt (/ z (+ (- y z) 1.0)))
112.0ms	(cbrt (/ z (+ (- y z) 1.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	385	1468
1	1077	1303
2	4812	1243
3	5001	1204

prune311.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

94.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch53.0ms

Steps

Iters	Range		Point
6	8.247775876692058e+39	9.72933230676965e+40	1.0852378853767397e+40
8	-1.286696068079025e+33	-2.0260175217475176e+30	-4.5371813000220555e+30

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample504.0ms

Algorithm

intervals

Results

232.0ms

10030×

body

valid