Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

324×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	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)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `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 → 117

Calls

3 calls:

20.0ms	(/ (+ x 4.0) y)
64.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
19.0ms	(* (/ x y) z)

series85.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
19.0ms	(* (/ x y) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	743
1	1422	683
2	5001	668

prune289.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r`
4×	`pow1`
2×	`expm1-log1p-u` `frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv` `distribute-lft-out--`

Counts

2 → 73

Calls

2 calls:

0.0ms	(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
38.0ms	(* (/ x y) (- 1 z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
37.0ms	(* (/ x y) (- 1 z))

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	402	603
1	1761	405
2	5002	402

prune161.0ms

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)))

rewrite131.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
90.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
36.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt z)
171.0ms	(cbrt z)
44.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
106.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	344	652
1	1553	478
2	5002	431

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
9.2b	(cbrt (/ x y))
9.2b	(cbrt (/ x y))
9.2b	(cbrt (/ x y))

rewrite70.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-*r/` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 103

Calls

4 calls:

60.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series191.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
60.0ms	(cbrt (/ x y))
58.0ms	(cbrt (/ x y))
54.0ms	(cbrt (/ x y))

simplify66.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	270	794
1	819	672
2	3040	622
3	5001	583

prune308.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

91.1% (0.1b remaining)

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

bsearch87.0ms

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	26	11
1	26	11

end0.0ms

sample707.0ms

Algorithm

intervals

Results

417.0ms

10152×

body

valid