Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
27.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
3.0ms	(/ x (+ x 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5238	995

prune114.0ms

Filtered

71 candidates to 96 candidates (-35.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
0.0b	(/ x (+ x 1.0))
3.4b	(log (exp (/ x (+ x 1.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
39×	`times-frac`
33×	`add-cube-cbrt`
20×	`log-pow`
18×	`exp-prod`
9×	`associate-/r*` `distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `log-prod` `associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-+r+` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3--` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 116

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
32.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
5.0ms	(/ x (+ x 1.0))
6.0ms	(log (exp (/ x (+ x 1.0))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
2.0ms	(/ x (+ x 1.0))
3.0ms	(log (exp (/ x (+ x 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4978	1227
1	4978	1227

prune174.0ms

Filtered

97 candidates to 128 candidates (-32.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	128	2	130

Merged error: 0b

Counts

130 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
52×	`times-frac`
39×	`distribute-lft-out`
22×	`cbrt-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
10×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

28.0ms	(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
23.0ms	(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
5.0ms	(/ x (+ x 1.0))
27.0ms	(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

series23.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
6.0ms	(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
3.0ms	(/ x (+ x 1.0))
7.0ms	(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5008	1866

prune130.0ms

Filtered

74 candidates to 132 candidates (-78.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	2	134

Merged error: 0b

Counts

134 → 2

regimes24.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms

sample349.0ms

Algorithm

intervals

Results

225.0ms

8000×

body

valid

Details

sample14.0ms

simplify4.0ms

prune4.0ms

localize6.0ms

rewrite40.0ms

series12.0ms

simplify61.0ms

prune114.0ms

localize9.0ms

rewrite52.0ms

series14.0ms

simplify57.0ms

prune174.0ms

localize9.0ms

rewrite88.0ms

series23.0ms

simplify45.0ms

prune130.0ms

regimes24.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample349.0ms

Profiling