Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

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 (100.0%)

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: 1.8b

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))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.1b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite25.0ms

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:

8.0ms	(+ 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)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

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

prune120.0ms

Filtered

83 candidates to 63 candidates (24.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0b

Counts

84 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.1b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
5.1b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
5.1b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify124.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	226	997
1	800	919
2	3461	909
3	5001	909

prune250.0ms

Filtered

111 candidates to 89 candidates (19.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	111	4	115

Merged error: 0b

Counts

115 → 4

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0b

Counts

4 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z)))))
0.0b	(+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z)))
0.1b	(* 0.443113462726379 (pow z 2))
4.3b	(* y (+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-r` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`pow1` `associate-l`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-+r+` `prod-exp`
3×	`flip3-+` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `sub-neg` `diff-log` `pow-prod-down` `pow-exp`

Counts

4 → 77

Calls

4 calls:

3.0ms	(+ x (* y (+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z)))))
6.0ms	(+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z)))
5.0ms	(* 0.443113462726379 (pow z 2))
7.0ms	(* y (+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ x (* y (+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z)))))
3.0ms	(+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z)))
3.0ms	(* 0.443113462726379 (pow z 2))
11.0ms	(* y (+ (* 0.443113462726379 (pow z 2)) (- 0.886226925452758 (* 0.886226925452758 z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	353	597
1	1531	536
2	5002	536

prune123.0ms

Filtered

89 candidates to 60 candidates (32.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	89	4	93

Merged error: 0b

Counts

93 → 4

regimes315.0ms

Accuracy

64% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample608.0ms

Algorithm

intervals

Results

323.0ms

8000×

body

valid

Details

sample23.0ms

simplify4.0ms

prune4.0ms

localize8.0ms

rewrite25.0ms

series49.0ms

simplify39.0ms

prune120.0ms

localize13.0ms

rewrite27.0ms

series73.0ms

simplify124.0ms

prune250.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune4.0ms

localize10.0ms

rewrite22.0ms

series38.0ms

simplify49.0ms

prune123.0ms

regimes315.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample608.0ms

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