Details

sample619.0ms

Algorithm

intervals

Results

137.0ms	70×	body	5120	valid
135.0ms	448×	body	80	nan
81.0ms	61×	body	2560	valid
80.0ms	229×	body	80	valid
58.0ms	29×	body	1280	valid
45.0ms	25×	body	10240	exit
9.0ms	10×	body	640	valid
5.0ms	7×	body	320	valid
2.0ms	5×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.5b

localize38.0ms

Local error

Found 4 expressions with local error:

30.4b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
12.2b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
11.9b	(* (/ c0 w) (* (/ d D) (/ d D)))
11.9b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp` `associate-l`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
18×	`frac-times` `add-cube-cbrt`
17×	`pow1`
16×	`sqrt-div`
14×	`associate-*r/`
10×	`associate-*l/`
8×	`frac-add`
7×	`flip3-+` `pow-prod-down` `flip-+`
6×	`flip3--` `flip--` `add-log-exp`
4×	`insert-posit16` `unswap-sqr`
2×	`sqrt-pow1` `associate-r` `*-commutative` `div-inv`
1×	`+-commutative` `sum-log` `pow1/2` `sqrt-prod` `distribute-lft-out`

Counts

4 → 149

Calls

4 calls:

Slowest

48.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
44.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
39.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
33.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

932.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
750.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
132.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
121.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify1.3s

Counts: 161 → 161

prune2.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 47.5b

localize76.0ms

Local error

Found 4 expressions with local error:

30.4b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
30.4b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
12.2b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
12.2b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
16×	`frac-times` `frac-add`
14×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
10×	`pow1`
8×	`-un-lft-identity` `associate-l/` `associate-*r/` `add-log-exp`
4×	`add-sqr-sqrt` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

4 → 82

Calls

4 calls:

Slowest

78.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
50.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
48.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
44.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))

series3.3s

Counts

4 → 12

Calls

4 calls:

Slowest

910.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
899.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (/ c0 w) (* (/ d D) (/ d D))) h))
772.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
737.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))

simplify3.6s

Counts: 94 → 94

prune2.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 47.5b

localize79.0ms

Local error

Found 4 expressions with local error:

34.2b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
12.2b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
11.9b	(* (/ c0 w) (* (/ d D) (/ d D)))
11.9b	(* (/ c0 w) (* (/ d D) (/ d D)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp` `associate-l`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
18×	`frac-times` `add-cube-cbrt`
17×	`pow1`
16×	`sqrt-div`
14×	`associate-*r/`
10×	`associate-*l/`
8×	`frac-add`
7×	`flip3-+` `pow-prod-down` `flip-+`
6×	`flip3--` `flip--` `add-log-exp`
4×	`insert-posit16` `unswap-sqr`
2×	`sqrt-pow1` `associate-r` `*-commutative` `div-inv`
1×	`+-commutative` `sum-log` `pow1/2` `sqrt-prod` `distribute-lft-out`

Counts

4 → 149

Calls

4 calls:

Slowest

71.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
44.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
27.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
26.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

series2.2s

Counts

4 → 12

Calls

4 calls:

Slowest

1.2s	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M)))
815.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (/ c0 w) (* (/ d D) (/ d D))) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
93.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
92.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))

simplify1.3s

Counts: 161 → 161

prune3.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 47.4b

localize111.0ms

Local error

Found 4 expressions with local error:

32.5b	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
12.2b	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
11.9b	(* (/ c0 w) (* (/ d D) (/ d D)))
10.9b	(* (/ c0 w) (/ d D))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-cbrt-cube` `add-exp-log`
40×	`add-sqr-sqrt`
32×	`times-frac`
27×	`*-un-lft-identity`
26×	`associate-l`
25×	`add-cube-cbrt`
22×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
16×	`sqrt-div`
14×	`frac-times` `pow1` `associate-r`
10×	`associate-*r/`
8×	`associate-*l/` `frac-add`
7×	`flip3-+` `flip-+`
6×	`flip3--` `flip--` `add-log-exp` `unswap-sqr`
5×	`pow-prod-down`
4×	`insert-posit16`
3×	`div-inv`
2×	`sqrt-pow1` `*-commutative`
1×	`+-commutative` `sum-log` `pow1/2` `sqrt-prod` `distribute-lft-out`

Counts

4 → 146

Calls

4 calls:

Slowest

52.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
45.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
40.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
24.0ms	(* (/ c0 w) (/ d D))

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

956.0ms	(+ (sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M))) (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h))
768.0ms	(sqrt (* (+ M (/ (* (/ c0 w) (* (/ d D) (/ d D))) h)) (- (/ (* (* (/ c0 w) (/ d D)) (/ d D)) h) M)))
91.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
43.0ms	(* (/ c0 w) (/ d D))

simplify1.5s

Counts: 158 → 158

prune2.7s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 43.7b

regimes2.4s

Accuracy

22.6% (4.9b remaining)

Error of 50.1b against oracle of 45.2b and baseline of 51.5b

bsearch30.0ms

end0.0ms

sample20.6s

Algorithm

intervals

Results

5.3s	2300×	body	5120	valid
4.8s	12907×	body	80	nan
2.7s	1695×	body	2560	valid
2.2s	6702×	body	80	valid
1.7s	917×	body	1280	valid
1.7s	589×	body	10240	exit
516.0ms	487×	body	640	valid
184.0ms	236×	body	320	valid
55.0ms	118×	body	160	valid