Details

analyze221.0ms

Algorithm: search

sample20.0ms

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

prune3.0ms

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: 4.3b

Counts

2 → 1

localize10.0ms

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))
8.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite26.0ms

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)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

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

63 candidates to 83 candidates (-31.7%)

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	(* 1.1283791670955126 (exp z))
0.0b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series47.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	521	1389
1	2423	1257
2	5002	1186

prune153.0ms

Filtered

88 candidates to 148 candidates (-68.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	150	3	153

Merged error: 0b

Counts

153 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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)
8.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
5.0ms	(/ (exp z) y)
18.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
6.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (39.0ms)

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

prune111.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
2.7b	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
5.9b	(* (* (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×	`associate-/r/`
3×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r*` `flip--` `unswap-sqr`
2×	`div-inv`
1×	`sub-neg` `frac-2neg` `pow1/3` `diff-log` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(- (* 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))))

series129.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
25.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify69.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	578	1350
1	2762	1230
2	5002	1184

prune146.0ms

Filtered

99 candidates to 123 candidates (-24.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Merged error: 0b

Counts

126 → 3

regimes219.0ms

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

analyze256.0ms

Algorithm: search

sample495.0ms

Algorithm

intervals

Results

330.0ms

8000×

body

valid

Details

analyze221.0ms

sample20.0ms

simplify4.0ms

prune3.0ms

localize10.0ms

rewrite26.0ms

series47.0ms

simplify40.0ms

prune120.0ms

localize10.0ms

rewrite29.0ms

series47.0ms

simplify68.0ms

prune153.0ms

localize11.0ms

rewrite27.0ms

series40.0ms

simplify49.0ms

prune111.0ms

localize17.0ms

rewrite32.0ms

series129.0ms

simplify69.0ms

prune146.0ms

regimes219.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze256.0ms

sample495.0ms

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