Details

sample79.0ms

Algorithm

intervals

Results

38.0ms	282×	body	80	valid
9.0ms	98×	body	80	nan

simplify160.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize154.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* b b) (* (* 4.0 a) c))
1.2b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-log-exp`
7×	`sqrt-prod`
6×	`pow1` `add-cube-cbrt`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--`
3×	`diff-log`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 60

Calls

4 calls:

9.0ms	(- (* b b) (* (* 4.0 a) c))
41.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* b b) (* (* 4.0 a) c))
144.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
92.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
125.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.2s

Counts: 72 → 72

prune455.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.1b

localize150.0ms

Local error

Found 4 expressions with local error:

12.6b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-div`
4×	`add-exp-log` `add-cbrt-cube`
3×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `associate-+l-` `flip3-+` `neg-log` `flip-+`

Counts

4 → 58

Calls

4 calls:

13.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
18.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
90.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
117.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
99.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.0s

Counts: 70 → 70

prune662.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.1b

localize148.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.7b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.7b	(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

10.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
6.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
13.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
192.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
170.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
151.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify1.3s

Counts: 66 → 66

prune590.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.1b

localize154.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

19.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
25.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
99.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
109.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
106.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.1s

Counts: 72 → 72

prune577.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.1b

regimes354.0ms

Accuracy

88% (1.4b remaining)

Error of 9.1b against oracle of 7.6b and baseline of 19.5b

bsearch327.0ms

Steps

Iters	Range		Point
9	2.1111705398262576e+94	1.4606080102792105e+100	4.816123605262118e+98
8	-3.3488929396586777e+52	-8.270377620091702e+49	-1.8828475477144904e+52

simplify910.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	8772×	body	80	valid
352.0ms	2895×	body	80	nan