Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	260×	body	80	valid
3.0ms	11×	body	640	valid
2.0ms	4×	body	1280	valid
2.0ms	59×	body	80	overflowed
1.0ms	7×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.7b	(log (+ 1.0 (exp x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
61.0ms	(log (+ 1.0 (exp x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	128	169
1	337	152
2	897	151
3	3150	150
4	5002	150

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `log-div`
3×	`flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip-+`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 44

Calls

3 calls:

10.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
8.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
16.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
51.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify126.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	292	480
1	1010	443
2	4638	436
3	5001	436

prune134.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
0.3b	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
9×	`pow1` `add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
5×	`log-pow`
4×	`exp-prod` `exp-sum` `add-cbrt-cube`
3×	`sum-log`
2×	`log-div` `flip3-+` `rem-log-exp` `flip-+`
1×	`+-commutative` `associate-+r+` `rem-exp-log`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
1.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
2.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
8.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
110.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
49.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
53.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	351	653
1	1333	581
2	5001	552

prune188.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
6.6b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`add-exp-log` `log-prod` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

7.0ms	(* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))))
8.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
8.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
8.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

395.0ms	(* (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))))
55.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
49.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
54.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	504	1498
1	2105	1356
2	5001	1240

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes56.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample763.0ms

Algorithm

intervals

Results

306.0ms	8371×	body	80	valid
74.0ms	2430×	body	80	overflowed
68.0ms	132×	body	1280	valid
67.0ms	245×	body	640	valid
29.0ms	184×	body	320	valid
11.0ms	109×	body	160	valid