Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

324×

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: 1.3b

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))
2.5b	(* (/ x y) z)

rewrite87.0ms

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:

19.0ms	(/ (+ x 4.0) y)
51.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms	(* (/ x y) z)

series97.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ x 4.0) y)
45.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms	(* (/ x y) z)

simplify127.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (33.0ms)

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

prune195.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
2.4b	(* (/ x y) (- 1 z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

18.0ms	(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
30.0ms	(* (/ x y) (- 1 z))

series91.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
46.0ms	(* (/ x y) (- 1 z))

simplify54.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	416	496
1	1863	440
2	5001	435

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
1.0b	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
1.9b	(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite118.0ms

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:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
84.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
30.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

series503.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt z)
176.0ms	(cbrt z)
43.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
114.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (43.0ms)

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

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (/ (cbrt x) y) z)
3.8b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`1-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
18.0ms	(* (/ (cbrt x) y) z)
48.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series525.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
181.0ms	(cbrt x)
121.0ms	(* (/ (cbrt x) y) z)
45.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify68.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	473	760
1	2324	591
2	5002	518

prune305.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

91.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch77.0ms

Steps

Iters	Range		Point
8	4.2737648854656724e-63	5.406292548770686e-59	4.400414701830006e-62
9	-4.137736254371508e-14	-1.5039956710466002e-21	-3.1410657509458458e-15

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample575.0ms

Algorithm

intervals

Results

290.0ms

10152×

body

valid