Details

sample51.0ms

Algorithm

intervals

Results

32.0ms	294×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	2×	body	1280	valid

simplify75.0ms

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 20 (+ 10 d2)))
0.0b	(+ 20 (+ 10 d2))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`distribute-rgt-in` `+-commutative` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

Slowest

45.0ms	(* d1 (+ 20 (+ 10 d2)))
20.0ms	(+ 20 (+ 10 d2))

series88.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

56.0ms	(* d1 (+ 20 (+ 10 d2)))
31.0ms	(+ 20 (+ 10 d2))

simplify832.0ms

Counts: 47 → 47

prune415.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (+ (* d1 10) (* d1 d2)) (* d1 20))
0.0b	(+ (* d1 10) (* d1 d2))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+l+`

Counts

2 → 28

Calls

2 calls:

Slowest

33.0ms	(+ (+ (* d1 10) (* d1 d2)) (* d1 20))
15.0ms	(+ (* d1 10) (* d1 d2))

series138.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

72.0ms	(+ (+ (* d1 10) (* d1 d2)) (* d1 20))
66.0ms	(+ (* d1 10) (* d1 d2))

simplify1.1s

Counts: 34 → 34

prune362.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* d1 (sqrt (+ 20 (+ 10 d2)))) (sqrt (+ 20 (+ 10 d2))))
0.1b	(* d1 (sqrt (+ 20 (+ 10 d2))))
0.0b	(+ 20 (+ 10 d2))
0.0b	(+ 20 (+ 10 d2))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

113.0ms	(* (* d1 (sqrt (+ 20 (+ 10 d2)))) (sqrt (+ 20 (+ 10 d2))))
66.0ms	(* d1 (sqrt (+ 20 (+ 10 d2))))
20.0ms	(+ 20 (+ 10 d2))
20.0ms	(+ 20 (+ 10 d2))

series187.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(* d1 (sqrt (+ 20 (+ 10 d2))))
39.0ms	(* (* d1 (sqrt (+ 20 (+ 10 d2)))) (sqrt (+ 20 (+ 10 d2))))
33.0ms	(+ 20 (+ 10 d2))
24.0ms	(+ 20 (+ 10 d2))

simplify1.9s

Counts: 103 → 103

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

10.6b	(sqrt (+ (* 20 20) (- (* (+ 10 d2) (+ 10 d2)) (* 20 (+ 10 d2)))))
5.0b	(/ (* d1 (* (sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20)))) (sqrt (+ 20 (+ d2 10))))) (sqrt (+ (* 20 20) (- (* (+ 10 d2) (+ 10 d2)) (* 20 (+ 10 d2))))))
3.8b	(sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20))))
1.5b	(* d1 (* (sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20)))) (sqrt (+ 20 (+ d2 10)))))

rewrite749.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-div`
20×	`associate-*r/`
18×	`add-cbrt-cube` `add-exp-log`
15×	`flip3-+` `flip-+`
13×	`add-sqr-sqrt` `sqrt-prod`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`frac-times` `associate-/l/`
6×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `cube-unmult` `associate-/r/`
1×	`clear-num` `frac-2neg` `associate-r` `sum-cubes` `-commutative` `div-inv` `associate-/l`

Counts

4 → 100

Calls

4 calls:

Slowest

341.0ms	(/ (* d1 (* (sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20)))) (sqrt (+ 20 (+ d2 10))))) (sqrt (+ (* 20 20) (- (* (+ 10 d2) (+ 10 d2)) (* 20 (+ 10 d2))))))
275.0ms	(* d1 (* (sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20)))) (sqrt (+ 20 (+ d2 10)))))
71.0ms	(sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20))))
59.0ms	(sqrt (+ (* 20 20) (- (* (+ 10 d2) (+ 10 d2)) (* 20 (+ 10 d2)))))

series667.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

333.0ms	(/ (* d1 (* (sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20)))) (sqrt (+ 20 (+ d2 10))))) (sqrt (+ (* 20 20) (- (* (+ 10 d2) (+ 10 d2)) (* 20 (+ 10 d2))))))
191.0ms	(* d1 (* (sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20)))) (sqrt (+ 20 (+ d2 10)))))
83.0ms	(sqrt (+ (* (+ d2 10) (* (+ d2 10) (+ d2 10))) (* 20 (* 20 20))))
59.0ms	(sqrt (+ (* 20 20) (- (* (+ 10 d2) (+ 10 d2)) (* 20 (+ 10 d2)))))

simplify1.6s

Counts: 112 → 112

prune1.7s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

823.0ms	8970×	body	80	valid
22.0ms	55×	body	1280	valid
12.0ms	43×	body	640	valid
5.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid