Details

sample22.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
1.7b	(- (* x x) (* (* y 4.0) y))
28.9b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 55

Calls

3 calls:

3.0ms	(+ (* x x) (* (* y 4.0) y))
3.0ms	(- (* x x) (* (* y 4.0) y))
11.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x x) (* (* y 4.0) y))
44.0ms	(- (* x x) (* (* y 4.0) y))
60.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	234	680
1	1007	622
2	5001	620

prune141.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
0.0b	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
1.7b	(- (* x x) (* (* y 4.0) y))
28.9b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
16×	`log-pow`
15×	`exp-prod`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-/r/`
3×	`log-prod` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `div-sub` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `log-div` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log`

Counts

4 → 83

Calls

4 calls:

3.0ms	(+ (* x x) (* (* y 4.0) y))
16.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
2.0ms	(- (* x x) (* (* y 4.0) y))
10.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x x) (* (* y 4.0) y))
59.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
39.0ms	(- (* x x) (* (* y 4.0) y))
61.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	287	1034
1	1088	945
2	5002	942

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
0.0b	(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
1.7b	(- (* x x) (* (* y 4.0) y))
28.9b	(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
94×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
51×	`log-pow`
50×	`exp-prod`
18×	`associate-/r*` `associate-/r/`
17×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`div-exp`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`log-prod`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `rem-log-exp` `flip-+` `inv-pow`

Counts

4 → 189

Calls

4 calls:

26.0ms	(log (exp (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
11.0ms	(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
2.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (exp (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
56.0ms	(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
41.0ms	(- (* x x) (* (* y 4.0) y))
60.0ms	(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	569	2940
1	2531	2698
2	5002	2478

prune414.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes118.0ms

Accuracy

57.9% (13.2b remaining)

Error of 13.6b against oracle of 0.4b and baseline of 31.8b

bsearch146.0ms

Steps

Iters	Range		Point
10	1.4736071778219855e+18	5.232544456283668e+28	4.622501986397064e+28
6	4.4437296572917087e-153	7.108389521057788e-152	1.15085871997988e-152
8	-1.3474720315358293e-93	-3.439603128940124e-97	-4.6422537795675754e-94
6	-1.6124847451767553e+146	-1.7531211426705936e+145	-2.2855110788897515e+145

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	26
1	34	26

end0.0ms

sample536.0ms

Algorithm

intervals

Results

405.0ms

8000×

body

valid