Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	34×	body	1280	valid
7.0ms	42×	body	640	valid
7.0ms	168×	body	80	valid
3.0ms	21×	body	320	valid
1.0ms	8×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
3.1b	(/ (* x (/ (sin y) y)) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

13.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
17.0ms	(/ (* x (/ (sin y) y)) z)

series142.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
66.0ms	(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune185.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))
2.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
125×	`add-sqr-sqrt`
88×	`associate-r`
85×	`add-cube-cbrt` `*-un-lft-identity`
65×	`cbrt-prod`
42×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
14×	`unswap-sqr`
13×	`pow1` `associate-l` `prod-exp` `cbrt-unprod`
8×	`pow1/3` `div-inv`
6×	`swap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 191

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(* (cbrt z) (cbrt z))
66.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
188.0ms	(cbrt z)
193.0ms	(* (cbrt z) (cbrt z))
100.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1075	1930
1	5001	1576

prune812.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))
2.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
51×	`add-cbrt-cube`
50×	`add-sqr-sqrt`
33×	`cbrt-prod`
30×	`add-cube-cbrt` `*-un-lft-identity`
29×	`associate-r`
28×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
26×	`times-frac`
20×	`pow1`
19×	`associate-l`
13×	`pow1/3`
12×	`swap-sqr`
10×	`unswap-sqr`
5×	`pow-prod-down`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`*-commutative` `div-inv`
2×	`pow2` `pow-plus`
1×	`frac-times` `associate-r/` `associate-l/`

Counts

4 → 157

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
12.0ms	(* (cbrt z) (cbrt z))
5.0ms	(cbrt (* (cbrt z) (cbrt z)))
73.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series765.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt z) (cbrt z))
197.0ms	(* (cbrt z) (cbrt z))
265.0ms	(cbrt (* (cbrt z) (cbrt z)))
103.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify98.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	682	1833
1	3850	1404
2	5001	1267

prune420.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
3.1b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 89

Calls

3 calls:

28.0ms	(* x (* (sin y) (/ 1 y)))
16.0ms	(* (sin y) (/ 1 y))
34.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series134.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* x (* (sin y) (/ 1 y)))
28.0ms	(* (sin y) (/ 1 y))
60.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	415	565
1	2095	432
2	5002	410

prune164.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes282.0ms

Accuracy

77.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.1b

bsearch83.0ms

Steps

Iters	Range		Point
9	2.1881140587362268e-26	3.6401178074972383e-19	5.715011145653865e-24
9	-5.8516907299059634e-80	-3.3844226674964425e-87	-4.11794374772535e-81

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

271.0ms	988×	body	1280	valid
245.0ms	5798×	body	80	valid
180.0ms	1026×	body	640	valid
78.0ms	591×	body	320	valid
32.0ms	312×	body	160	valid