Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	292×	body	80	nan
10.0ms	256×	body	80	valid

simplify12.0ms

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

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: 0.1b

Counts

2 → 1

localize12.0ms

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))))

rewrite25.0ms

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

series245.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* 6.0 (- x 1.0))
48.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
156.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (48.0ms)

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

prune137.0ms

Filtered

73 candidates to 55 candidates (75.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.0b	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.2b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(* 6.0 (- x 1.0))
12.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
14.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
41.0ms	(* 6.0 (- x 1.0))
148.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
129.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	752	1425
1	3532	1257
2	5001	1209

prune198.0ms

Filtered

140 candidates to 86 candidates (61.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	141	4	145

Merged error: 0b

Counts

145 → 4

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) (* 4.0 (sqrt x))) 6.0) (- x 1.0)))
0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0)
0.2b	(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0) (- x 1.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

781×	`times-frac`
468×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
79×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp` `associate-/l*`
11×	`associate-/r/`
10×	`cbrt-undiv`
9×	`add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+l+` `pow-flip` `inv-pow`

Counts

4 → 454

Calls

4 calls:

6.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
24.0ms	(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0) (- x 1.0)))
8.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0)
12.0ms	(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0) (- x 1.0))

series412.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
159.0ms	(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0) (- x 1.0)))
69.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0)
135.0ms	(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) 6.0) (- x 1.0))

simplify114.0ms

Algorithm

egg-herbie

Counts

466 → 466

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1746	7603
1	5001	7216

prune776.0ms

Filtered

466 candidates to 290 candidates (62.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	466	0	466
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	466	4	470

Merged error: 0b

Counts

470 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
4×	`pow1` `flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

11.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
9.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
12.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
8.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series1.9s

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
606.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
587.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
576.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	708	1562
1	3052	1436
2	5001	1429

prune344.0ms

Filtered

91 candidates to 83 candidates (91.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0b

Counts

95 → 4

regimes37.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample779.0ms

Algorithm

intervals

Results

322.0ms	8000×	body	80	valid
294.0ms	7845×	body	80	nan

Details

sample31.0ms

simplify12.0ms

prune2.0ms

localize12.0ms

rewrite25.0ms

series245.0ms

simplify54.0ms

prune137.0ms

localize10.0ms

rewrite41.0ms

series368.0ms

simplify84.0ms

prune198.0ms

localize10.0ms

rewrite83.0ms

series412.0ms

simplify114.0ms

prune776.0ms

localize13.0ms

rewrite42.0ms

series1.9s

simplify90.0ms

prune344.0ms

regimes37.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample779.0ms

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