Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
9.0ms	280×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.4b

Counts

2 → 1

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))
0.4b	(/ (* 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:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(* 6.0 (- x 1.0))
11.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series156.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
43.0ms	(* 6.0 (- x 1.0))
78.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	377	495
1	1642	421
2	5001	420

prune128.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	6	74

Merged error: 0b

Counts

74 → 6

localize8.0ms

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

rewrite33.0ms

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)))
16.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
74.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
72.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	439	987
1	1809	895
2	5001	893

prune173.0ms

Filtered

102 candidates to 75 candidates (73.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
11.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
73.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
78.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify79.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	641	2084
1	2942	1986
2	5001	1984

prune302.0ms

Filtered

163 candidates to 126 candidates (77.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	164	5	169

Merged error: 0b

Counts

169 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b	(/ 6.0 (/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

774×	`times-frac`
441×	`add-sqr-sqrt` `*-un-lft-identity`
337×	`add-cube-cbrt`
92×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-/r/`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
18×	`flip3-+` `flip-+`
11×	`associate-/l*`
10×	`cbrt-undiv`
9×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `sum-log`
2×	`associate-/l/`
1×	`+-commutative` `associate-+l+` `flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

4 → 457

Calls

4 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
12.0ms	(/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
21.0ms	(/ 6.0 (/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
9.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms	(/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
81.0ms	(/ 6.0 (/ 1 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
74.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify109.0ms

Algorithm

egg-herbie

Counts

469 → 469

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1570	7588
1	5001	6987

prune796.0ms

Filtered

469 candidates to 280 candidates (59.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	469	0	469
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	469	5	474

Merged error: 0b

Counts

474 → 5

regimes39.0ms

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

sample731.0ms

Algorithm

intervals

Results

286.0ms	8000×	body	80	valid
267.0ms	8027×	body	80	nan

Details

sample33.0ms

simplify15.0ms

prune2.0ms

localize9.0ms

rewrite23.0ms

series156.0ms

simplify45.0ms

prune128.0ms

localize8.0ms

rewrite33.0ms

series185.0ms

simplify52.0ms

prune173.0ms

localize8.0ms

rewrite32.0ms

series191.0ms

simplify79.0ms

prune302.0ms

localize10.0ms

rewrite79.0ms

series267.0ms

simplify109.0ms

prune796.0ms

regimes39.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample731.0ms

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