Details

analyze3.0ms

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

sample12.0ms

Algorithm

intervals

Results

6.0ms

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

prune6.0ms

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)

rewrite15.0ms

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)

series6.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4950	401
1	4950	401

prune73.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

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)))
0.3b	(* (* (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)))

rewrite58.0ms

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:

17.0ms	(+ (* (* (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)))

series24.0ms

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)))
10.0ms	(* (* (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)))

simplify45.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5101	1823

prune313.0ms

Filtered

118 candidates to 169 candidates (-43.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	169	3	172

Merged error: 0b

Counts

172 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
1.3b	(/ (* 841.0 x) 108.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

9.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
4.0ms	(/ (* 841.0 x) 108.0)

series5.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4941	335
1	4941	335

prune43.0ms

Filtered

30 candidates to 40 candidates (-33.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	40	3	43

Merged error: 0b

Counts

43 → 3

regimes78.0ms

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

sample299.0ms

Algorithm

intervals

Results

205.0ms	7995×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze3.0ms

sample12.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite15.0ms

series6.0ms

simplify51.0ms

prune73.0ms

localize9.0ms

rewrite58.0ms

series24.0ms

simplify45.0ms

prune313.0ms

localize7.0ms

rewrite14.0ms

series5.0ms

simplify66.0ms

prune43.0ms

regimes78.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample299.0ms

Profiling