Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite38.0ms

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:

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

series182.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ 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

prune266.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

27.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series225.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
52.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	574	1523
1	2549	1310
2	5001	1298

prune347.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

6.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
18.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
13.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series176.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
47.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
62.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* 1.1283791670955126 (/ (exp z) y)) x))
25.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	491	825
1	2204	735
2	5001	688

prune307.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.0b	(* 1.1283791670955126 (exp z))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-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:

2.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
17.0ms	(* 1.1283791670955126 (exp z))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	376	654
1	1472	601
2	5001	598

prune261.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

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	17	9
1	17	9

end0.0ms

sample682.0ms

Algorithm

intervals

Results

507.0ms

8002×

body

valid