Details

sample325.0ms

Algorithm

intervals

Results

22.0ms	788×	body	80	nan
7.0ms	256×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune4.0ms

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: 0.5b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

11.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify74.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	181	216
1	610	206
2	2471	201
3	5002	201

prune69.0ms

Filtered

37 candidates to 25 candidates (67.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ 0.5 (* 0.125 (/ 1 x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ 0.5 (* 0.125 (/ 1 x)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ 0.5 (* 0.125 (/ 1 x)))

simplify102.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	86	76
1	301	69
2	1152	69
3	3934	66
4	5002	61

prune22.0ms

Filtered

14 candidates to 11 candidates (78.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0b

Counts

17 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x 1.0))
0.5b	(cbrt (- x 1.0))
0.5b	(cbrt (- x 1.0))
0.5b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

6.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
11.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (- x 1.0))
95.0ms	(cbrt (- x 1.0))
97.0ms	(cbrt (- x 1.0))
121.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	368	838
1	1230	798
2	5001	733

prune282.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) x)
30.6b	(sqrt (* (- x 1.0) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

7.0ms	(* (- x 1.0) x)
5.0ms	(sqrt (* (- x 1.0) x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (- x 1.0) x)
42.0ms	(sqrt (* (- x 1.0) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	168	164
1	574	147
2	2965	145
3	5001	145

prune58.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	41	3	44

Merged error: 0b

Counts

44 → 3

regimes15.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

649.0ms	24128×	body	80	nan
225.0ms	7990×	body	80	valid
1.0ms	10×	body	160	valid

Details

sample325.0ms

simplify11.0ms

prune4.0ms

localize9.0ms

rewrite13.0ms

series87.0ms

simplify74.0ms

prune69.0ms

localize6.0ms

rewrite3.0ms

series33.0ms

simplify102.0ms

prune22.0ms

localize11.0ms

rewrite26.0ms

series416.0ms

simplify48.0ms

prune282.0ms

localize4.0ms

rewrite13.0ms

series82.0ms

simplify75.0ms

prune58.0ms

regimes15.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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