Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

prune7.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

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)

simplify50.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4950	401
1	4950	401

prune74.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
0.1b	(* x (cbrt (/ 841.0 108.0)))
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-r`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-l`
16×	`associate-*r/` `swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `associate-*l/` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 159

Calls

4 calls:

16.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
7.0ms	(* x (cbrt (/ 841.0 108.0)))
13.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
12.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series25.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
4.0ms	(* x (cbrt (/ 841.0 108.0)))
11.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5101	1823

prune331.0ms

Filtered

119 candidates to 169 candidates (-42.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	169	4	173

Merged error: 0b

Counts

173 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `flip3-+` `associate-r` `clear-num` `associate-/r` `-commutative` `flip-+` `div-inv`

Counts

2 → 41

Calls

2 calls:

4.0ms	(* 841.0 (* x 29.0))
8.0ms	(/ (+ (* 841.0 (* x 29.0)) (* 108.0 4.0)) (* 108.0 29.0))

series7.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(* 841.0 (* x 29.0))
5.0ms	(/ (+ (* 841.0 (* x 29.0)) (* 108.0 4.0)) (* 108.0 29.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5382	499

prune53.0ms

Filtered

31 candidates to 47 candidates (-51.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (pow (exp (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.0b	(pow (exp (/ 841.0 108.0)) x)
1.0b	(exp (/ 841.0 108.0))
2.4b	(log (pow (exp (/ 841.0 108.0)) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`exp-prod` `*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
14×	`log-prod` `pow-pow`
9×	`unpow-prod-down`
7×	`associate-+l+`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`pow-unpow` `rem-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `log-pow` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

4 → 88

Calls

4 calls:

9.0ms	(+ (log (pow (exp (/ 841.0 108.0)) x)) (/ 4.0 29.0))
5.0ms	(pow (exp (/ 841.0 108.0)) x)
3.0ms	(exp (/ 841.0 108.0))
4.0ms	(log (pow (exp (/ 841.0 108.0)) x))

series28.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(+ (log (pow (exp (/ 841.0 108.0)) x)) (/ 4.0 29.0))
3.0ms	(pow (exp (/ 841.0 108.0)) x)
0.0ms	(exp (/ 841.0 108.0))
12.0ms	(log (pow (exp (/ 841.0 108.0)) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5052	790

prune153.0ms

Filtered

77 candidates to 98 candidates (-27.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	98	4	102

Merged error: 0b

Counts

102 → 4

regimes89.0ms

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	9
1	11	9

end0.0ms

sample300.0ms

Algorithm

intervals

Results

211.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze4.0ms

sample16.0ms

simplify3.0ms

prune7.0ms

localize6.0ms

rewrite14.0ms

series5.0ms

simplify50.0ms

prune74.0ms

localize9.0ms

rewrite55.0ms

series25.0ms

simplify40.0ms

prune331.0ms

localize10.0ms

rewrite14.0ms

series7.0ms

simplify42.0ms

prune53.0ms

localize11.0ms

rewrite24.0ms

series28.0ms

simplify48.0ms

prune153.0ms

regimes89.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample300.0ms

Profiling