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

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4970	14
1	4970	14

prune12.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

3.0ms	(+ 1.0 (* 4.0 (sqrt x)))
5.0ms	(+ x (+ 1.0 (* 4.0 (sqrt x))))
13.0ms	(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ 1.0 (* 4.0 (sqrt x)))
4.0ms	(+ 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)))))

simplify35.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5095	2111

prune168.0ms

Filtered

94 candidates to 128 candidates (-36.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0))
0.0b	(* 6.0 (/ 1 (/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0))))
0.0b	(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.1b	(/ 1 (/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

322×	`times-frac`
292×	`*-un-lft-identity`
220×	`add-sqr-sqrt`
140×	`add-cube-cbrt`
83×	`associate-r`
42×	`distribute-lft-out`
36×	`add-exp-log`
33×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `sum-log` `cbrt-unprod`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+r+` `pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 299

Calls

4 calls:

9.0ms	(/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0))
30.0ms	(* 6.0 (/ 1 (/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0))))
5.0ms	(+ x (+ 1.0 (* 4.0 (sqrt x))))
12.0ms	(/ 1 (/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0))
8.0ms	(* 6.0 (/ 1 (/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0))))
4.0ms	(+ x (+ 1.0 (* 4.0 (sqrt x))))
7.0ms	(/ 1 (/ (+ x (+ 1.0 (* 4.0 (sqrt x)))) (- x 1.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

311 → 311

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4954	5899
1	4954	5899

prune451.0ms

Filtered

180 candidates to 311 candidates (-72.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	311	0	311
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	311	4	315

Merged error: 0b

Counts

315 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(* 6.0 (- x 1.0))
6.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series17.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4992	903
1	4992	903

prune88.0ms

Filtered

55 candidates to 71 candidates (-29.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	4	75

Merged error: 0b

Counts

75 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))

rewrite23.0ms

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:

10.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))

series33.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
7.0ms	(cbrt (- x 1.0))
8.0ms	(cbrt (- x 1.0))
8.0ms	(cbrt (- x 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5155	1250

prune221.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes66.0ms

Accuracy

0% (0.0b 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 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms

sample388.0ms

Algorithm

intervals

Results

303.0ms	8000×	body	80	valid
0.0ms	1×	body	80	nan

Details

analyze3.0ms

sample15.0ms

simplify59.0ms

prune12.0ms

localize8.0ms

rewrite33.0ms

series23.0ms

simplify35.0ms

prune168.0ms

localize9.0ms

rewrite72.0ms

series30.0ms

simplify90.0ms

prune451.0ms

localize8.0ms

rewrite24.0ms

series17.0ms

simplify40.0ms

prune88.0ms

localize14.0ms

rewrite23.0ms

series33.0ms

simplify35.0ms

prune221.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample388.0ms

Profiling