Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

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

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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))
5.0ms	(/ 1.0 (- x 1.0))
25.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
30.0ms	(/ 1.0 (- x 1.0))
123.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

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

prune149.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	3	97

Merged error: 0b

Counts

97 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.8b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.6b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

5.0ms	(/ x (+ x 1.0))
14.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series304.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ x (+ x 1.0))
168.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
49.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify97.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	776	1139
1	3935	1063
2	5002	1061

prune233.0ms

Filtered

140 candidates to 112 candidates (80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	140	3	143

Merged error: 0b

Counts

143 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.2b	(pow (/ 1.0 (- x 1.0)) 3)
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
155×	`times-frac`
154×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod` `associate-l`
33×	`associate-r`
31×	`distribute-lft-out--`
27×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
22×	`difference-of-squares`
18×	`associate-/r/`
15×	`pow1`
11×	`distribute-lft-out`
9×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`pow-unpow` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`flip3-+` `flip-+`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `distribute-lft-in` `unpow3` `pow-prod-down` `associate-l/` `-commutative` `frac-sub` `sqr-pow`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 271

Calls

4 calls:

37.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
7.0ms	(pow (/ x (+ x 1.0)) 3)
7.0ms	(pow (/ 1.0 (- x 1.0)) 3)
19.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
60.0ms	(pow (/ x (+ x 1.0)) 3)
54.0ms	(pow (/ 1.0 (- x 1.0)) 3)
39.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1319	2229
1	5001	1978

prune520.0ms

Filtered

283 candidates to 160 candidates (56.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	283	3	286

Merged error: 0b

Counts

286 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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)))
6.3b	(log (exp (/ 1.0 (- x 1.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
45×	`times-frac`
42×	`exp-prod`
34×	`add-cube-cbrt`
23×	`log-pow`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-exp-log` `log-prod` `associate-/r/` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*`
3×	`associate-+l+` `flip3--` `flip--` `div-inv` `associate-/l*`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip-+` `rem-exp-log`

Counts

4 → 115

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
30.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
6.0ms	(exp (/ 1.0 (- x 1.0)))
7.0ms	(log (exp (/ 1.0 (- x 1.0))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
123.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
47.0ms	(exp (/ 1.0 (- x 1.0)))
30.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify182.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	368	712
1	1121	660
2	4761	647
3	5002	647

prune248.0ms

Filtered

127 candidates to 100 candidates (78.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Merged error: 0b

Counts

130 → 3

regimes14.0ms

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	13	9
1	13	9

end0.0ms

sample312.0ms

Algorithm

intervals

Results

220.0ms

8000×

body

valid

Details

sample13.0ms

simplify5.0ms

prune2.0ms

localize7.0ms

rewrite38.0ms

series189.0ms

simplify41.0ms

prune149.0ms

localize9.0ms

rewrite40.0ms

series304.0ms

simplify97.0ms

prune233.0ms

localize15.0ms

rewrite84.0ms

series274.0ms

simplify62.0ms

prune520.0ms

localize9.0ms

rewrite53.0ms

series232.0ms

simplify182.0ms

prune248.0ms

regimes14.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample312.0ms

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