Details

sample235.0ms

Algorithm

intervals

Results

48.0ms	63×	body	5120	valid
47.0ms	388×	body	80	nan
36.0ms	52×	body	2560	valid
25.0ms	200×	body	80	valid
17.0ms	35×	body	1280	valid
17.0ms	22×	body	10240	exit
6.0ms	16×	body	640	valid
2.0ms	7×	body	320	valid
1.0ms	3×	body	160	valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	26
1	298	26
2	3398	26
3	5002	26

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize19.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.3b	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
24.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-exp-log` `add-cbrt-cube`
78×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-cube-cbrt`
4×	`sqrt-div` `sqrt-prod`
2×	`flip3--` `frac-2neg` `times-frac` `frac-add` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+` `distribute-lft-out` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
166.0ms	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
274.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
184.0ms	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
240.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify121.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	599	2003
1	3812	1561
2	5001	1561

prune311.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 35.3b

localize5.0ms

Local error

Found 1 expressions with local error:

6.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

10.0ms

(* (/ c0 (* 2.0 w)) 0)

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

(* (/ c0 (* 2.0 w)) 0)

simplify281.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	176	32
1	1859	16
2	5001	6

prune72.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 33.6b

localize0.0ms

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

prune21.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 33.6b

localize27.0ms

Local error

Found 4 expressions with local error:

15.3b	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
24.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
24.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
24.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite969.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`sqrt-div`
6×	`add-sqr-sqrt` `frac-add`
5×	`pow1` `add-cube-cbrt`
4×	`add-exp-log` `flip3--` `sqrt-prod` `add-cbrt-cube` `flip--`
3×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `difference-of-squares`

Counts

4 → 58

Calls

4 calls:

166.0ms	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
268.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
267.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
267.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series900.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
238.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
238.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
238.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	229	2232
1	1331	2088
2	5001	2088

prune369.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 33.6b

regimes439.0ms

Accuracy

46.8% (1.5b remaining)

Error of 32.3b against oracle of 30.8b and baseline of 33.6b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	31	52

end0.0ms

sample7.3s

Algorithm

intervals

Results

1.7s	2254×	body	5120	valid
1.6s	13006×	body	80	nan
1.1s	1744×	body	2560	valid
829.0ms	6793×	body	80	valid
467.0ms	920×	body	1280	valid
455.0ms	576×	body	10240	exit
177.0ms	441×	body	640	valid
75.0ms	243×	body	320	valid
25.0ms	111×	body	160	valid