Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

44.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
21.0ms	(* 1.1283791670955126 (exp z))
26.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
27.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
16.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
66.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	356	637
1	1280	593
2	5001	590

prune238.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
4.5b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.5b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 66

Calls

4 calls:

12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
17.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
20.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
92.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
90.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	207	574
1	616	532
2	2209	522
3	5001	508

prune227.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`prod-diff`
36×	`add-cube-cbrt`
29×	`times-frac`
4×	`div-inv`
3×	`fma-neg` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 61

Calls

1 calls:

13.0ms

(- x (/ 1 x))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- x (/ 1 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	334	980
1	1162	563
2	5001	481

prune50.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

68.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.8b

bsearch36.0ms

Steps

Iters	Range		Point
10	-2.3512945738971205e+25	-269079160.0667242	-959124237.3290532

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample485.0ms

Algorithm

intervals

Results

253.0ms

8000×

body

valid