Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite28.0ms

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:

10.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (36.0ms)

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

prune230.0ms

Filtered

96 candidates to 76 candidates (79.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize9.0ms

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))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite40.0ms

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:

15.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
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)

series228.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
48.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
75.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (53.0ms)

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

prune277.0ms

Filtered

156 candidates to 100 candidates (64.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	157	4	161

Merged error: 0b

Counts

161 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

11.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
5.0ms	(/ (exp z) y)
14.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
14.0ms	(* 1.1283791670955126 (/ (exp z) y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
24.0ms	(/ (exp z) y)
61.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	447	788
1	1789	716
2	5002	710

prune255.0ms

Filtered

128 candidates to 91 candidates (71.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	128	4	132

Merged error: 0b

Counts

132 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.3b	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
4.6b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
15.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
217.0ms	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
94.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify80.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	591	1363
1	2816	1189
2	5002	1146

prune365.0ms

Filtered

133 candidates to 110 candidates (82.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	133	4	137

Merged error: 0b

Counts

137 → 4

regimes157.0ms

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	15	6
1	15	6

end0.0ms

sample496.0ms

Algorithm

intervals

Results

317.0ms

8001×

body

valid

Details

sample19.0ms

simplify7.0ms

prune2.0ms

localize11.0ms

rewrite28.0ms

series183.0ms

simplify44.0ms

prune230.0ms

localize9.0ms

rewrite40.0ms

series228.0ms

simplify69.0ms

prune277.0ms

localize12.0ms

rewrite51.0ms

series146.0ms

simplify60.0ms

prune255.0ms

localize12.0ms

rewrite32.0ms

series557.0ms

simplify80.0ms

prune365.0ms

regimes157.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample496.0ms

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