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: 2.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	501
1	1077	461
2	5001	459

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series200.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
46.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	547	1434
1	2526	1298
2	5002	1226

prune312.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`div-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `associate-l` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow`

Counts

3 → 99

Calls

3 calls:

4.0ms	(/ (exp z) y)
9.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series105.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (exp z) y)
59.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
26.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	402	700
1	1687	624
2	5001	610

prune240.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126))))
0.0b	(fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126))
0.1b	(fma 0.5641895835477563 (pow z 2) 1.1283791670955126)
3.9b	(/ y (fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`fma-udef`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 66

Calls

4 calls:

5.0ms	(+ x (/ y (fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126))))
1.0ms	(fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126))
1.0ms	(fma 0.5641895835477563 (pow z 2) 1.1283791670955126)
3.0ms	(/ y (fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ x (/ y (fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126))))
22.0ms	(fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126))
53.0ms	(fma 0.5641895835477563 (pow z 2) 1.1283791670955126)
76.0ms	(/ y (fma 1.1283791670955126 z (fma 0.5641895835477563 (pow z 2) 1.1283791670955126)))

simplify104.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	248	472
1	831	435
2	3343	432
3	5002	428

prune213.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	18	7
2	18	7

end0.0ms

sample438.0ms

Algorithm

intervals

Results

262.0ms

8001×

body

valid