Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 3.2b

Counts

2 → 1

localize8.0ms

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))
7.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (/ 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)))

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5001	551

prune181.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp z))
0.0b	(* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z)))
1.0b	(- (* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z))) (* x y))
7.7b	(/ y (- (* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z))) (* x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac`
6×	`associate-r` `sqrt-prod` `add-log-exp`
4×	`sqrt-pow1`
3×	`exp-prod` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `rem-sqrt-square` `frac-2neg` `pow1/2` `diff-log` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 78

Calls

4 calls:

2.0ms	(sqrt (exp z))
10.0ms	(* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z)))
10.0ms	(- (* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z))) (* x y))
11.0ms	(/ y (- (* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z))) (* x y)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp z))
17.0ms	(* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z)))
59.0ms	(- (* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z))) (* x y))
72.0ms	(/ y (- (* (* 1.1283791670955126 (sqrt (exp z))) (sqrt (exp z))) (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	332	846
1	1329	686
2	5001	660

prune183.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Merged error: 0b

Counts

95 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.3b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	403	822
1	1831	729
2	5001	699

prune197.0ms

Filtered

113 candidates to 71 candidates (62.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
2.6b	(* y (* (sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
6.8b	(sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))
6.8b	(sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
22×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
13×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
6×	`rem-sqrt-square` `sqrt-pow1` `sqrt-div` `add-log-exp`
4×	`associate-*r/` `associate-/r/`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`pow-flip` `pow1/2` `div-inv` `inv-pow`
1×	`frac-times` `sub-neg` `diff-log` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(* y (* (sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
7.0ms	(sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))
7.0ms	(sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(* y (* (sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
61.0ms	(sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))
62.0ms	(sqrt (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	324	1010
1	990	896
2	5001	832

prune241.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	106	5	111

Merged error: 0b

Counts

111 → 5

regimes138.0ms

Accuracy

59.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.8b

bsearch64.0ms

Steps

Iters	Range		Point
14	0.0	4.444369427524543e-06	1.160328083957628e-308

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample474.0ms

Algorithm

intervals

Results

305.0ms

8001×

body

valid

Details

sample19.0ms

simplify6.0ms

prune3.0ms

localize8.0ms

rewrite27.0ms

series186.0ms

simplify45.0ms

prune181.0ms

localize10.0ms

rewrite35.0ms

series161.0ms

simplify49.0ms

prune183.0ms

localize10.0ms

rewrite29.0ms

series210.0ms

simplify57.0ms

prune197.0ms

localize12.0ms

rewrite43.0ms

series252.0ms

simplify43.0ms

prune241.0ms

regimes138.0ms

bsearch64.0ms

simplify2.0ms

end0.0ms

sample474.0ms

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