Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

289×

body

valid

simplify31.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

9.0ms	(* (- x (/ 16.0 116.0)) 3.0)
11.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (- x (/ 16.0 116.0)) 3.0)
38.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify93.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	197	259
1	849	215
2	4422	215
3	5001	215

prune76.0ms

Filtered

49 candidates to 32 candidates (65.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

10.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify67.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	161	155
1	566	125
2	2546	125
3	5002	125

prune39.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	26	7	33

Merged error: 0.0b

Counts

33 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series723.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
173.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune176.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
0.8b	(cbrt (- x (/ 16.0 116.0)))
0.8b	(cbrt (- x (/ 16.0 116.0)))
0.8b	(cbrt (- x (/ 16.0 116.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

20.0ms	(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
6.0ms	(cbrt (- x (/ 16.0 116.0)))
6.0ms	(cbrt (- x (/ 16.0 116.0)))
6.0ms	(cbrt (- x (/ 16.0 116.0)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
108.0ms	(cbrt (- x (/ 16.0 116.0)))
100.0ms	(cbrt (- x (/ 16.0 116.0)))
102.0ms	(cbrt (- x (/ 16.0 116.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	400	1138
1	1317	1083
2	5002	1004

prune292.0ms

Filtered

119 candidates to 87 candidates (73.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

regimes121.0ms

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	11	4
1	11	4

end0.0ms

sample377.0ms

Algorithm

intervals

Results

220.0ms

9136×

body

valid