Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

280×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	71	4
3	136	4
4	211	4
5	285	4
6	350	4
7	396	4
8	408	4
9	408	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.1b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

6.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) 3.0)
10.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series101.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- x (/ 16.0 116.0))
40.0ms	(* (- x (/ 16.0 116.0)) 3.0)
38.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify103.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	336
1	883	287
2	4460	287
3	5001	287

prune129.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* (- (* 3.0 x) 0.41379310344827586) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

4.0ms	(- (* 3.0 x) 0.41379310344827586)
6.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* 3.0 x) 0.41379310344827586)
42.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	131	173
1	447	151
2	1935	150
3	5003	150

prune69.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `times-frac` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 38

Calls

2 calls:

6.0ms	(- x (/ 16.0 116.0))
12.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series58.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- x (/ 16.0 116.0))
36.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	187	232
1	601	197
2	2588	197
3	5002	197

prune83.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 87

Calls

4 calls:

4.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
3.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
4.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
18.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

series447.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
125.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
130.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
63.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	510	1621
1	1537	1440
2	5001	1315

prune232.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample344.0ms

Algorithm

intervals

Results

204.0ms

9098×

body

valid