Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample19.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4970	14
1	4970	14

prune8.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b	(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
41×	`times-frac`
26×	`associate-r`
25×	`add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
5×	`pow1` `associate-/l*`
4×	`associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

3 → 105

Calls

3 calls:

5.0ms	(+ x (+ 1.0 (* 4.0 (sqrt x))))
19.0ms	(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series24.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ x (+ 1.0 (* 4.0 (sqrt x))))
8.0ms	(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
7.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5591	1958

prune215.0ms

Filtered

82 candidates to 114 candidates (-39.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	110	6	116

Merged error: 0b

Counts

116 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b	(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
1.3b	(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
37×	`add-cube-cbrt`
27×	`pow-pow`
17×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
10×	`add-log-exp`
6×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
5×	`pow1` `associate-/l*`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`unpow-prod-down` `pow-unpow` `sum-log` `div-inv`
2×	`div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `flip3--` `frac-2neg` `exp-diff` `div-exp` `pow-exp` `clear-num` `flip--` `rem-exp-log` `sqr-pow`

Counts

4 → 138

Calls

4 calls:

5.0ms	(+ x (+ 1.0 (* 4.0 (sqrt x))))
11.0ms	(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
12.0ms	(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

series35.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (+ 1.0 (* 4.0 (sqrt x))))
9.0ms	(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
7.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
15.0ms	(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4982	2732
1	4982	2732

prune314.0ms

Filtered

108 candidates to 150 candidates (-38.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	150	6	156

Merged error: 0b

Counts

156 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.9b	(cbrt (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3))
1.0b	(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3)
1.3b	(pow (cbrt (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3)) 6.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt`
29×	`pow-pow`
26×	`exp-prod`
24×	`cbrt-prod` `unpow-prod-down`
11×	`distribute-lft-out`
9×	`cube-prod` `distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `pow-unpow`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-log-exp` `sqr-pow`
3×	`cube-mult` `unpow3` `div-sub`
2×	`cube-div` `pow-to-exp` `flip3-+` `exp-diff` `pow1/3` `pow-exp` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `cbrt-div` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 148

Calls

4 calls:

9.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
9.0ms	(cbrt (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3))
12.0ms	(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3)
12.0ms	(pow (cbrt (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3)) 6.0)

series51.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
9.0ms	(cbrt (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3))
20.0ms	(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3)
15.0ms	(pow (cbrt (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 3)) 6.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5171	3465

prune321.0ms

Filtered

100 candidates to 160 candidates (-60.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	160	6	166

Merged error: 0b

Counts

166 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.1b	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

121×	`*-un-lft-identity`
80×	`times-frac`
79×	`add-sqr-sqrt`
78×	`cbrt-prod`
45×	`add-cube-cbrt`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `flip3-+` `associate-/r*` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`

Counts

4 → 151

Calls

4 calls:

10.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
7.0ms	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
23.0ms	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
20.0ms	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
20.0ms	(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5098	4028

prune472.0ms

Filtered

115 candidates to 163 candidates (-41.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	163	6	169

Merged error: 0b

Counts

169 → 6

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample400.0ms

Algorithm

intervals

Results

309.0ms	8000×	body	80	valid
0.0ms	1×	body	80	nan

Details

analyze3.0ms

sample19.0ms

simplify61.0ms

prune8.0ms

localize9.0ms

rewrite36.0ms

series24.0ms

simplify50.0ms

prune215.0ms

localize14.0ms

rewrite41.0ms

series35.0ms

simplify37.0ms

prune314.0ms

localize18.0ms

rewrite49.0ms

series51.0ms

simplify48.0ms

prune321.0ms

localize13.0ms

rewrite39.0ms

series70.0ms

simplify47.0ms

prune472.0ms

regimes42.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample400.0ms

Profiling