Details

sample357.0ms

Algorithm

intervals

Results

48.0ms	24×	body	1280	valid
30.0ms	184×	body	80	valid
29.0ms	38×	body	2560	valid
11.0ms	96×	body	80	nan
8.0ms	17×	body	640	valid
3.0ms	3×	body	5120	valid
2.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify556.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

555.0ms

(/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize27.0ms

Local error

Found 4 expressions with local error:

23.0b	(sqrt (- (* b_2 b_2) (* a c)))
1.8b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.2b	(- (* b_2 b_2) (* a c))
0.3b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

94.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
61.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
15.0ms	(- (* b_2 b_2) (* a c))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
106.0ms	(sqrt (- (* b_2 b_2) (* a c)))
102.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
37.0ms	(- (* b_2 b_2) (* a c))

simplify4.3s

Counts

73 → 100

Calls

73 calls:

Slowest

422.0ms	(sqrt (- (pow (* b_2 b_2) 3) (pow (* a c) 3)))
403.0ms	(- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 b_2))
310.0ms	(/ (* (* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (* (* a a) a))
288.0ms	(- (pow (sqrt (- (* b_2 b_2) (* a c))) 3) (pow b_2 3))
235.0ms	(- b_2 (* 1/2 (/ (* a c) b_2)))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

23.0b	(sqrt (- (* b_2 b_2) (* a c)))
1.8b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.2b	(- (* b_2 b_2) (* a c))
0.3b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

119.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
39.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
15.0ms	(- (* b_2 b_2) (* a c))
8.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
102.0ms	(sqrt (- (* b_2 b_2) (* a c)))
96.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
47.0ms	(- (* b_2 b_2) (* a c))

simplify4.1s

Counts

73 → 100

Calls

73 calls:

Slowest

437.0ms	(- (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 b_2))
361.0ms	(sqrt (- (pow (* b_2 b_2) 3) (pow (* a c) 3)))
303.0ms	(- (pow (sqrt (- (* b_2 b_2) (* a c))) 3) (pow b_2 3))
243.0ms	(- b_2 (* 1/2 (/ (* a c) b_2)))
242.0ms	(/ (* (* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (* (* a a) a))

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.5b

localize32.0ms

Local error

Found 4 expressions with local error:

23.0b	(sqrt (- (* b_2 b_2) (* a c)))
1.8b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
1.2b	(- (* b_2 b_2) (* a c))
0.3b	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/l*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/r/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

4 → 87

Calls

4 calls:

Slowest

48.0ms	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
35.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
20.0ms	(- (* b_2 b_2) (* a c))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

242.0ms	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
103.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
87.0ms	(sqrt (- (* b_2 b_2) (* a c)))
37.0ms	(- (* b_2 b_2) (* a c))

simplify3.6s

Counts

74 → 99

Calls

74 calls:

Slowest

301.0ms	(sqrt (- (pow (* b_2 b_2) 3) (pow (* a c) 3)))
260.0ms	(+ (* (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c)))) (+ (* b_2 b_2) (* (sqrt (- (* b_2 b_2) (* a c))) b_2)))
236.0ms	(- b_2 (* 1/2 (/ (* a c) b_2)))
210.0ms	(/ (* (* a a) a) (* (* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
206.0ms	(sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.5b

localize39.0ms

Local error

Found 4 expressions with local error:

23.0b	(sqrt (- (* b_2 b_2) (* a c)))
8.5b	(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
1.2b	(- (* b_2 b_2) (* a c))
0.1b	(/ (sqrt (- (* b_2 b_2) (* a c))) a)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
31×	`times-frac`
30×	`*-un-lft-identity`
22×	`add-cube-cbrt`
17×	`sqrt-prod`
8×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `sqrt-div` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`associate-/r*` `div-inv`
2×	`sub-neg` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `distribute-rgt-out--` `pow1/2` `div-exp` `frac-sub` `sub-div`

Counts

4 → 97

Calls

4 calls:

Slowest

64.0ms	(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
22.0ms	(sqrt (- (* b_2 b_2) (* a c)))
13.0ms	(/ (sqrt (- (* b_2 b_2) (* a c))) a)
8.0ms	(- (* b_2 b_2) (* a c))

series423.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(- (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/ b_2 a))
137.0ms	(/ (sqrt (- (* b_2 b_2) (* a c))) a)
83.0ms	(sqrt (- (* b_2 b_2) (* a c)))
65.0ms	(- (* b_2 b_2) (* a c))

simplify4.2s

Counts

92 → 109

Calls

92 calls:

Slowest

333.0ms	(sqrt (- (pow (* b_2 b_2) 3) (pow (* a c) 3)))
319.0ms	(sqrt (- (pow (* b_2 b_2) 3) (pow (* a c) 3)))
212.0ms	(- b_2 (* 1/2 (/ (* a c) b_2)))
198.0ms	(sqrt (- (* (* b_2 b_2) (* b_2 b_2)) (* (* a c) (* a c))))
193.0ms	(/ (exp (* b_2 b_2)) (exp (* a c)))

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.5b

regimes590.0ms

Accuracy

83.4% (4.7b remaining)

Error of 10.1b against oracle of 5.4b and baseline of 33.9b

bsearch149.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1088×	body	2560	valid
812.0ms	5840×	body	80	valid
483.0ms	913×	body	1280	valid
459.0ms	2878×	body	80	nan
217.0ms	441×	body	640	valid
150.0ms	125×	body	5120	valid
75.0ms	239×	body	320	valid
29.0ms	139×	body	160	valid