Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	57×	body	1280	valid
4.0ms	139×	body	80	valid
4.0ms	38×	body	640	valid
2.0ms	19×	body	320	valid
0.0ms	3×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	96	13
1	96	13

prune2.0ms

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: 27.7b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) (- x 1.0))
0.0b	(/ x (+ x 1.0))
1.1b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`distribute-lft-out` `distribute-lft-out--`
9×	`associate-/r*` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 104

Calls

3 calls:

8.0ms	(/ (+ x 1.0) (- x 1.0))
5.0ms	(/ x (+ x 1.0))
29.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (+ x 1.0) (- x 1.0))
5.0ms	(/ x (+ x 1.0))
7.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4965	1412
1	4965	1412

prune174.0ms

Filtered

76 candidates to 113 candidates (-48.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Merged error: 0.2b

Counts

114 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.1b	(pow (/ x (+ x 1.0)) 3)
1.1b	(- (cbrt (pow (/ x (+ x 1.0)) 3)) (/ (+ x 1.0) (- x 1.0)))
20.1b	(cbrt (pow (/ x (+ x 1.0)) 3))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
71×	`times-frac`
54×	`cbrt-prod`
47×	`add-cube-cbrt`
40×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
14×	`difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `sqr-pow`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `frac-sub` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 169

Calls

4 calls:

5.0ms	(/ x (+ x 1.0))
7.0ms	(pow (/ x (+ x 1.0)) 3)
59.0ms	(- (cbrt (pow (/ x (+ x 1.0)) 3)) (/ (+ x 1.0) (- x 1.0)))
10.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (+ x 1.0))
3.0ms	(pow (/ x (+ x 1.0)) 3)
8.0ms	(- (cbrt (pow (/ x (+ x 1.0)) 3)) (/ (+ x 1.0) (- x 1.0)))
5.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5226	2298

prune188.0ms

Filtered

96 candidates to 181 candidates (-88.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	180	6	186

Merged error: 0.0b

Counts

186 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
20.5b	(- (/ x (+ x 1.0)) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- x 1.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
17×	`frac-sub`
16×	`frac-times`
15×	`flip3-+` `flip-+`
13×	`*-un-lft-identity`
12×	`cbrt-prod` `associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-*r/`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 71

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
12.0ms	(- (/ x (+ x 1.0)) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- x 1.0))))

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
8.0ms	(- (/ x (+ x 1.0)) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- x 1.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4932	1637
1	4932	1637

prune169.0ms

Filtered

64 candidates to 83 candidates (-29.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
0.0b	(* x (- x 1.0))
0.0b	(* (+ x 1.0) (+ x 1.0))
16.4b	(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
35×	`*-un-lft-identity`
32×	`frac-sub`
30×	`flip3-+` `flip-+`
25×	`add-sqr-sqrt`
20×	`frac-times` `flip3--` `flip--`
19×	`add-cube-cbrt`
18×	`associate-/l/`
13×	`pow1`
12×	`times-frac`
10×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
9×	`associate-r`
7×	`associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `distribute-lft-out` `add-log-exp`
5×	`sub-neg` `difference-of-squares`
4×	`associate--l+` `associate-/r*`
3×	`associate-/l*`
2×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out--`

Counts

4 → 152

Calls

4 calls:

13.0ms	(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
6.0ms	(* x (- x 1.0))
8.0ms	(* (+ x 1.0) (+ x 1.0))
8.0ms	(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
4.0ms	(* x (- x 1.0))
2.0ms	(* (+ x 1.0) (+ x 1.0))
4.0ms	(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5064	3158

prune279.0ms

Filtered

113 candidates to 164 candidates (-45.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	2	1	3
Picked	1	0	1
Done	1	1	2
Total	167	3	170

Merged error: 0.0b

Counts

170 → 3

regimes35.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch29.0ms

Steps

Iters	Range		Point
10	1253.8160530937032	12241730667611954.0	130107.61295780109
6	-2.5264077193858887e+74	-3.236887778991479e+73	-2.473895295753532e+74

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	39
1	37	39

end0.0ms

sample727.0ms

Algorithm

intervals

Results

252.0ms	1711×	body	1280	valid
140.0ms	1170×	body	640	valid
130.0ms	4189×	body	80	valid
55.0ms	631×	body	320	valid
20.0ms	299×	body	160	valid

Details

sample30.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite46.0ms

series15.0ms

simplify66.0ms

prune174.0ms

localize9.0ms

rewrite88.0ms

series19.0ms

simplify45.0ms

prune188.0ms

localize10.0ms

rewrite23.0ms

series26.0ms

simplify44.0ms

prune169.0ms

localize10.0ms

rewrite43.0ms

series14.0ms

simplify50.0ms

prune279.0ms

regimes35.0ms

bsearch29.0ms

simplify2.0ms

end0.0ms

sample727.0ms

Profiling