Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	190×	body	80	valid
13.0ms	41×	body	1280	valid
6.0ms	28×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	6×	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: 3.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(/ (* 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:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

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

prune216.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.3b	(* x (/ (/ (sin y) y) z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
3.0ms	(/ (sin y) y)
22.0ms	(* x (/ (/ (sin y) y) z))

series131.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (/ (sin y) y) z)
25.0ms	(/ (sin y) y)
72.0ms	(* x (/ (/ (sin y) y) z))

simplify83.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	613	1200
1	2878	1122
2	5001	1122

prune438.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
2.2b	(* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) x) (/ (/ (cbrt (sin y)) (cbrt y)) z))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

228×	`times-frac`
124×	`associate-r`
123×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
117×	`cbrt-prod`
97×	`add-exp-log`
61×	`add-cbrt-cube`
45×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
9×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r/` `associate-l` `-commutative`

Counts

4 → 215

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
126.0ms	(* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) x) (/ (/ (cbrt (sin y)) (cbrt y)) z))

series385.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))
90.0ms	(* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) x) (/ (/ (cbrt (sin y)) (cbrt y)) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1577	3853
1	5002	3392

prune795.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
1.3b	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* x (/ (/ (cbrt (sin y)) (cbrt y)) z)))
1.4b	(* x (/ (/ (cbrt (sin y)) (cbrt y)) z))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

238×	`times-frac`
145×	`add-sqr-sqrt`
125×	`associate-r`
124×	`add-cube-cbrt` `*-un-lft-identity`
118×	`cbrt-prod`
115×	`add-exp-log`
71×	`add-cbrt-cube`
54×	`prod-exp` `cbrt-unprod`
34×	`cbrt-undiv` `div-exp`
11×	`pow1`
8×	`associate-l`
6×	`unswap-sqr`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-*r/` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 238

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
65.0ms	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* x (/ (/ (cbrt (sin y)) (cbrt y)) z)))
51.0ms	(* x (/ (/ (cbrt (sin y)) (cbrt y)) z))

series441.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
92.0ms	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (* x (/ (/ (cbrt (sin y)) (cbrt y)) z)))
140.0ms	(* x (/ (/ (cbrt (sin y)) (cbrt y)) z))

simplify59.0ms

Algorithm

egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1449	3023
1	5002	2421

prune825.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes223.0ms

Accuracy

44% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.9b

bsearch36.0ms

Steps

Iters	Range		Point
6	-8.871524440761445e+84	-1.3458801729278124e+84	-1.408623853877171e+84

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

419.0ms	5873×	body	80	valid
340.0ms	979×	body	1280	valid
224.0ms	996×	body	640	valid
93.0ms	553×	body	320	valid
35.0ms	287×	body	160	valid