Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	17	4
2	19	4
3	21	4
4	22	4
5	22	4

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms	(* (/ 841.0 108.0) x)

series5.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms	(* (/ 841.0 108.0) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	241	217
1	828	198
2	3241	196
3	5001	196

prune69.0ms

Filtered

50 candidates to 38 candidates (24.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	2	51

Merged error: 0.0b

Counts

51 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`frac-add` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 82

Calls

3 calls:

13.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms	(* (sqrt (/ 841.0 108.0)) x)
13.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
4.0ms	(* (sqrt (/ 841.0 108.0)) x)
7.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify124.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	322	573
1	1080	507
2	4743	505
3	5002	505

prune151.0ms

Filtered

91 candidates to 68 candidates (25.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (log (exp (* (sqrt (/ 841.0 108.0)) x)))) (/ 4.0 29.0))
0.0b	(* (sqrt (/ 841.0 108.0)) (log (exp (* (sqrt (/ 841.0 108.0)) x))))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
2.2b	(log (exp (* (sqrt (/ 841.0 108.0)) x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
32×	`associate-l`
30×	`sqrt-prod`
27×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
15×	`log-prod`
10×	`pow1`
9×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `log-pow` `unswap-sqr`
3×	`sqrt-div` `associate-*l/`
2×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`
1×	`+-commutative` `flip3-+` `rem-log-exp` `frac-add` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

10.0ms	(+ (* (sqrt (/ 841.0 108.0)) (log (exp (* (sqrt (/ 841.0 108.0)) x)))) (/ 4.0 29.0))
9.0ms	(* (sqrt (/ 841.0 108.0)) (log (exp (* (sqrt (/ 841.0 108.0)) x))))
7.0ms	(* (sqrt (/ 841.0 108.0)) x)
2.0ms	(log (exp (* (sqrt (/ 841.0 108.0)) x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* (sqrt (/ 841.0 108.0)) (log (exp (* (sqrt (/ 841.0 108.0)) x)))) (/ 4.0 29.0))
9.0ms	(* (sqrt (/ 841.0 108.0)) (log (exp (* (sqrt (/ 841.0 108.0)) x))))
4.0ms	(* (sqrt (/ 841.0 108.0)) x)
4.0ms	(log (exp (* (sqrt (/ 841.0 108.0)) x)))

simplify114.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	306	956
1	963	835
2	4189	802
3	5002	802

prune241.0ms

Filtered

121 candidates to 92 candidates (24.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample336.0ms

Algorithm

intervals

Results

214.0ms	8003×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample13.0ms

simplify7.0ms

prune6.0ms

localize6.0ms

rewrite14.0ms

series5.0ms

simplify74.0ms

prune69.0ms

localize8.0ms

rewrite36.0ms

series18.0ms

simplify124.0ms

prune151.0ms

localize10.0ms

rewrite31.0ms

series25.0ms

simplify114.0ms

prune241.0ms

regimes88.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample336.0ms

Profiling