Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- 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	(/ x (+ x 1.0))
27.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series182.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (+ x 1.0))
121.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune172.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
29.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
26.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))
121.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
221.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	363	646
1	1305	593
2	5001	586

prune206.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (log (exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))))
0.0b	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
0.5b	(log (exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))))
0.5b	(exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
20×	`exp-prod`
11×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`times-frac` `add-log-exp`
7×	`pow1` `distribute-lft-out`
5×	`add-exp-log`
4×	`exp-sum` `add-cbrt-cube`
3×	`rem-exp-log`
2×	`rem-log-exp` `distribute-lft-out--`
1×	`sum-log`

Counts

4 → 63

Calls

4 calls:

29.0ms	(log (log (exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))))
26.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
28.0ms	(log (exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))))
26.0ms	(exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

series832.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(log (log (exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))))
221.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
226.0ms	(log (exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))))
258.0ms	(exp (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

simplify130.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	246	687
1	801	586
2	3569	571
3	5001	571

prune171.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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	7
1	11	7

end0.0ms

sample270.0ms

Algorithm

intervals

Results

183.0ms

8000×

body

valid