Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

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: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite37.0ms

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:

5.0ms	(* 1.1283791670955126 (exp z))
17.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (36.0ms)

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

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite15.0ms

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:

11.0ms

(- x (/ 1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (/ 1 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

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

prune57.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z y))
0.1b	(fma 0.886226925452758 (- y (* z y)) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `fma-udef`

Counts

2 → 31

Calls

2 calls:

2.0ms	(- y (* z y))
0.0ms	(fma 0.886226925452758 (- y (* z y)) x)

series70.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- y (* z y))
40.0ms	(fma 0.886226925452758 (- y (* z y)) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	123	163
1	337	138
2	1746	137
3	5002	123

prune78.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
5.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

4 → 94

Calls

4 calls:

4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
73.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify132.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	246	856
1	870	786
2	3756	780
3	5001	774

prune372.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

59.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample411.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid