Details

analyze3.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	39	7
2	61	7
3	80	7
4	105	7
5	114	7
6	114	7

prune2.0ms

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

6.0ms	(* 6.0 (- x 1.0))
5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series16.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 6.0 (- x 1.0))
4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
9.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	492	549
1	2177	479
2	5002	478

prune107.0ms

Filtered

55 candidates to 73 candidates (-32.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `associate-/r*` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
13.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
8.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
8.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify74.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	634	1087
1	2675	1000
2	5001	998

prune161.0ms

Filtered

80 candidates to 102 candidates (-27.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.1b	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
1.0b	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
17×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
10×	`associate-/r/`
7×	`pow1`
5×	`flip3-+` `associate-r` `flip-+` `div-inv`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-cube-cbrt`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `sub-neg` `flip3--` `distribute-lft-in` `unpow3` `flip--` `associate-/l/` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

6.0ms	(* 6.0 (- x 1.0))
11.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
11.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
7.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

series35.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 6.0 (- x 1.0))
15.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
8.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
8.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

simplify96.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	728	1449
1	3560	1374
2	5003	1368

prune183.0ms

Filtered

84 candidates to 137 candidates (-63.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	137	4	141

Merged error: 0b

Counts

141 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b	(/ (* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.3b	(* (sqrt 6.0) (- x 1.0))
0.8b	(* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`associate-l`
11×	`pow1` `add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`add-log-exp`
7×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`sub-neg` `associate-r`
4×	`pow-prod-down`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `associate-/r*` `sum-log` `flip--`
2×	`flip3-+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
14.0ms	(/ (* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
9.0ms	(* (sqrt 6.0) (- x 1.0))
10.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
16.0ms	(/ (* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
6.0ms	(* (sqrt 6.0) (- x 1.0))
10.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (- x 1.0)))

simplify82.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	602	907
1	3142	732
2	5001	719

prune146.0ms

Filtered

74 candidates to 113 candidates (-52.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes65.0ms

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	7
1	15	7

end0.0ms

analyze3.0ms

Algorithm: search

sample409.0ms

Algorithm

intervals

Results

319.0ms	8000×	body	80	valid
0.0ms	1×	body	80	nan

Details

analyze3.0ms

sample15.0ms

simplify11.0ms

prune2.0ms

localize8.0ms

rewrite23.0ms

series16.0ms

simplify59.0ms

prune107.0ms

localize9.0ms

rewrite31.0ms

series20.0ms

simplify74.0ms

prune161.0ms

localize12.0ms

rewrite39.0ms

series35.0ms

simplify96.0ms

prune183.0ms

localize11.0ms

rewrite41.0ms

series36.0ms

simplify82.0ms

prune146.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample409.0ms

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