Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune4.0ms

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: 2.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 41

Calls

2 calls:

4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify121.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	226	401
1	800	369
2	3461	365
3	5001	365

prune201.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 1.4b

Counts

48 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `associate-/r/` `inv-pow`

Counts

3 → 118

Calls

3 calls:

7.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series179.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	480	1322
1	2235	1195
2	5001	1124

prune348.0ms

Filtered

127 candidates to 74 candidates (58.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Merged error: 0b

Counts

132 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 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))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

5.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series148.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
20.0ms	(/ (exp z) y)
60.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
25.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	384	725
1	1583	664
2	5002	643

prune343.0ms

Filtered

116 candidates to 78 candidates (67.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Merged error: 0b

Counts

118 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)
0.0b	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
0.1b	(* 0.5641895835477563 (pow z 2))
4.8b	(/ y (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-log-exp`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `sum-log` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate-/r` `flip-+` `associate-/l`
2×	`+-commutative` `associate-/r/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `associate-+r+` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 80

Calls

4 calls:

4.0ms	(+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)
6.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
5.0ms	(* 0.5641895835477563 (pow z 2))
7.0ms	(/ y (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)
26.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
24.0ms	(* 0.5641895835477563 (pow z 2))
77.0ms	(/ y (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	378	643
1	1459	593
2	5001	591

prune312.0ms

Filtered

92 candidates to 65 candidates (70.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample608.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid

Details

sample30.0ms

simplify4.0ms

prune4.0ms

localize8.0ms

rewrite11.0ms

series126.0ms

simplify121.0ms

prune201.0ms

localize10.0ms

rewrite22.0ms

series179.0ms

simplify67.0ms

prune348.0ms

localize9.0ms

rewrite26.0ms

series148.0ms

simplify47.0ms

prune343.0ms

localize11.0ms

rewrite24.0ms

series174.0ms

simplify47.0ms

prune312.0ms

regimes175.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample608.0ms

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