Details

sample631.0ms

Algorithm

intervals

Results

157.0ms	70×	body	5120	valid
135.0ms	64×	body	2560	valid
108.0ms	428×	body	80	nan
96.0ms	212×	body	80	valid
35.0ms	17×	body	10240	exit
32.0ms	23×	body	1280	valid
12.0ms	8×	body	640	valid
4.0ms	5×	body	320	valid
2.0ms	5×	body	160	valid

simplify982.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

981.0ms

(* (/ c0 (* 2 w)) (+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))))

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 49.8b

localize55.0ms

Local error

Found 4 expressions with local error:

25.5b	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
13.2b	(* (* (/ d D) (/ d D)) (/ c0 h))
13.2b	(* (* (/ d D) (/ d D)) (/ c0 h))
13.2b	(* (* (/ d D) (/ d D)) (/ c0 h))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

127×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
39×	`cbrt-undiv` `div-exp` `associate-r`
36×	`add-sqr-sqrt`
30×	`times-frac`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
19×	`pow1`
15×	`frac-times` `associate-*l/`
9×	`pow-prod-down` `associate-*r/`
7×	`fma-def`
6×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `*-commutative` `div-inv`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

4 → 192

Calls

4 calls:

Slowest

1.8s	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
50.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))
47.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))
44.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))

series477.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

335.0ms	(+ (sqrt (- (* (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w)) (* M M))) (/ (* (* (/ d D) (/ d D)) (/ c0 h)) w))
54.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))
46.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))
42.0ms	(* (* (/ d D) (/ d D)) (/ c0 h))

simplify27.2s

Counts

171 → 204

Calls

171 calls:

Slowest

765.0ms	(* (* (* (* (/ d D) (/ d D)) (/ d D)) (/ (* (* d d) d) (* (* D D) D))) (* (* (/ c0 h) (/ c0 h)) (/ c0 h)))
611.0ms	(* (* (/ (* (* d d) d) (* (* D D) D)) (* (* (/ d D) (/ d D)) (/ d D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
586.0ms	(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
571.0ms	(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))
566.0ms	(* (* (/ (* (* d d) d) (* (* D D) D)) (/ (* (* d d) d) (* (* D D) D))) (/ (* (* c0 c0) c0) (* (* h h) h)))

prune3.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 (* w 2)) 0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

Slowest

22.0ms

(* (/ c0 (* w 2)) 0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

1.0ms

(* (/ c0 (* w 2)) 0)

simplify1.4s

Counts

20 → 34

Calls

20 calls:

Slowest

367.0ms	(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
259.0ms	(+ (- (log c0) (log (* w 2))) (log 0))
239.0ms	(+ (- (log c0) (+ (log w) (log 2))) (log 0))
152.0ms	(+ (log (/ c0 (* w 2))) (log 0))
134.0ms	(* (/ (* (* c0 c0) c0) (* (* (* w 2) (* w 2)) (* w 2))) (* (* 0 0) 0))

prune416.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.7b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune111.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.7b

localize46.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 (* w 2)) 0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

Slowest

36.0ms

(* (/ c0 (* w 2)) 0)

series3.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

3.0ms

(* (/ c0 (* w 2)) 0)

simplify1.3s

Counts

20 → 34

Calls

20 calls:

Slowest

331.0ms	(* (* (* (/ c0 (* w 2)) (/ c0 (* w 2))) (/ c0 (* w 2))) (* (* 0 0) 0))
228.0ms	(+ (- (log c0) (log (* w 2))) (log 0))
191.0ms	(+ (- (log c0) (+ (log w) (log 2))) (log 0))
179.0ms	(+ (log (/ c0 (* w 2))) (log 0))
112.0ms	(* (/ (* (* c0 c0) c0) (* (* (* w w) w) (* (* 2 2) 2))) (* (* 0 0) 0))

prune748.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.7b

regimes1.8s

Accuracy

18.8% (6.1b remaining)

Error of 32.0b against oracle of 25.9b and baseline of 33.4b

bsearch18.0ms

end0.0ms

sample19.1s

Algorithm

intervals

Results

4.9s	2256×	body	5120	valid
4.0s	13126×	body	80	nan
3.5s	1800×	body	2560	valid
2.3s	6821×	body	80	valid
1.6s	585×	body	10240	exit
1.2s	933×	body	1280	valid
395.0ms	420×	body	640	valid
151.0ms	215×	body	320	valid
111.0ms	102×	body	160	valid