Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	36×	body	1280	valid
10.0ms	184×	body	80	valid
6.0ms	30×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	10×	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: 2.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune217.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))
2.4b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite39.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r*` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

13.0ms	(* x (* (sin y) (/ 1 y)))
9.0ms	(* (sin y) (/ 1 y))
14.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (* (sin y) (/ 1 y)))
31.0ms	(* (sin y) (/ 1 y))
72.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	422	595
1	2107	461
2	5002	439

prune205.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* (sin y) (/ 1 y)))
0.4b	(cbrt (* (sin y) (/ 1 y)))
0.4b	(cbrt (* (sin y) (/ 1 y)))
2.4b	(/ (* x (* (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y)))) (cbrt (* (sin y) (/ 1 y))))) z)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

64×	`associate-*r/`
60×	`cbrt-div`
30×	`un-div-inv`
28×	`frac-times`
26×	`associate-/l/`
18×	`add-exp-log`
14×	`associate-*l/` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `times-frac` `pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 92

Calls

4 calls:

3.0ms	(cbrt (* (sin y) (/ 1 y)))
4.0ms	(cbrt (* (sin y) (/ 1 y)))
4.0ms	(cbrt (* (sin y) (/ 1 y)))
58.0ms	(/ (* x (* (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y)))) (cbrt (* (sin y) (/ 1 y))))) z)

series515.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (* (sin y) (/ 1 y)))
135.0ms	(cbrt (* (sin y) (/ 1 y)))
140.0ms	(cbrt (* (sin y) (/ 1 y)))
97.0ms	(/ (* x (* (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y)))) (cbrt (* (sin y) (/ 1 y))))) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	322	974
1	1489	720
2	5001	595

prune347.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
2.4b	(/ (* (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
46×	`add-cbrt-cube`
30×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-r/` `associate-/r` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
82.0ms	(/ (* (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

series410.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))
106.0ms	(cbrt (sin y))
100.0ms	(/ (* (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

simplify89.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	604	1277
1	3443	880
2	5001	670

prune245.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

88.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.5b

bsearch73.0ms

Steps

Iters	Range		Point
6	4.521224668525534e-80	1.808853977166641e-79	1.7877667366727078e-79
7	-1.3488457936154646e-05	-3.9804486597390313e-07	-2.286576066382483e-06

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

357.0ms	5896×	body	80	valid
296.0ms	950×	body	1280	valid
234.0ms	1043×	body	640	valid
86.0ms	547×	body	320	valid
36.0ms	312×	body	160	valid