Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

313×

body

valid

simplify11.0ms

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: 1.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b	(* (/ x y) z)

rewrite47.0ms

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)
28.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms	(* (/ x y) z)

series93.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 4.0) y)
46.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify113.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

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

prune196.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
9.7b	(cbrt (/ x y))
9.7b	(cbrt (/ x y))
9.7b	(cbrt (/ x y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`pow1` `add-exp-log`
15×	`cbrt-div`
10×	`add-cbrt-cube`
9×	`associate-*l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-*r/` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 95

Calls

4 calls:

36.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
1.0ms	(cbrt (/ x y))
1.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series219.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
66.0ms	(cbrt (/ x y))
62.0ms	(cbrt (/ x y))
69.0ms	(cbrt (/ x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	266	756
1	813	634
2	3023	589
3	5001	545

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
2.5b	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
9.7b	(cbrt (/ x y))
9.7b	(cbrt (/ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 69

Calls

4 calls:

0.0ms	(cbrt y)
6.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
1.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series388.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
85.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
65.0ms	(cbrt (/ x y))
64.0ms	(cbrt (/ x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	190	517
1	425	478
2	1282	465
3	5002	447

prune401.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
3.2b	(/ (- (+ x 4.0) (* x z)) y)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `diff-log` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `clear-num` `sum-log` `div-inv`

Counts

2 → 44

Calls

2 calls:

19.0ms	(- (+ x 4.0) (* x z))
39.0ms	(/ (- (+ x 4.0) (* x z)) y)

series72.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- (+ x 4.0) (* x z))
46.0ms	(/ (- (+ x 4.0) (* x z)) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	206	339
1	735	314
2	3242	314
3	5001	314

prune113.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

93.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch53.0ms

Steps

Iters	Range		Point
8	7.647138203835175e-41	3.774857016703866e-36	1.1704247077394178e-39
4	-1419131402.1388264	-943586106.7640047	-1097352739.1893299

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample677.0ms

Algorithm

intervals

Results

451.0ms

10141×

body

valid