Details

Time bar (total: 17.0s)

sample120.0ms

Algorithm
intervals
Results
81.0ms280×body80valid
19.0ms87×body80nan

simplify244.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize147.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b b) (* (* 4 a) c)))
22.6b
(sqrt (- (* b b) (* (* 4 a) c)))
2.0b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.3b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×associate--l- +-commutative sub-neg flip3-+ associate-+l- flip-+
Counts
4 → 67
Calls
4 calls:
Slowest
37.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
17.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
139.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
124.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
110.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.3s

Counts
79 → 79

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize137.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b b) (* (* 4 a) c)))
3.8b
(/ (* 2 c) (* 2 (- (* (/ a b) c) b)))
3.7b
(* (/ a b) c)
0.3b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
17×*-un-lft-identity
13×associate-*l* add-cube-cbrt
11×times-frac
8×add-log-exp
7×pow1
6×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×insert-posit16
3×associate-*r* sqrt-prod
2×sum-log flip3-- sqrt-div associate-*r/ associate-/r/ div-inv flip-- distribute-lft-out unswap-sqr
1×neg-sub0 +-commutative rem-sqrt-square clear-num associate-/r* distribute-rgt-neg-in frac-2neg sqrt-pow1 flip3-+ pow1/2 pow-prod-down neg-log associate-*l/ *-commutative associate-+l- flip-+ associate-/l*
Counts
4 → 89
Calls
4 calls:
Slowest
34.0ms
(/ (* 2 c) (* 2 (- (* (/ a b) c) b)))
31.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
19.0ms
(* (/ a b) c)
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
80.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
71.0ms
(/ (* 2 c) (* 2 (- (* (/ a b) c) b)))
26.0ms
(* (/ a b) c)

simplify887.0ms

Counts
101 → 101

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize171.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b b) (* (* 4 a) c)))
22.6b
(sqrt (- (* b b) (* (* 4 a) c)))
10.1b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
3.8b
(/ (* 2 c) (* 2 (- (* (/ a b) c) b)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod insert-posit16
3×flip3-- flip--
2×rem-sqrt-square sum-log sqrt-pow1 pow1/2 associate-*r/ associate-/r/
1×neg-sub0 +-commutative clear-num associate-/r* frac-2neg flip3-+ times-frac neg-log associate-+l- flip-+ div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
Slowest
20.0ms
(/ (* 2 c) (* 2 (- (* (/ a b) c) b)))
12.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
90.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
85.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
83.0ms
(/ (* 2 c) (* 2 (- (* (/ a b) c) b)))

simplify607.0ms

Counts
82 → 82

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize214.0ms

Local error

Found 4 expressions with local error:

23.4b
(cbrt (- (* b b) (* (* 4 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4 a) c)))
22.6b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
Slowest
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series495.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
125.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
124.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
94.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify675.0ms

Counts
70 → 70

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.8b

regimes528.0ms

Accuracy

92.8% (1.1b remaining)

Error of 7.1b against oracle of 6.0b and baseline of 20.8b

bsearch354.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.5s8715×body80valid
526.0ms2867×body80nan