Details

Time bar (total: 26.6s)

sample158.0ms

Algorithm
intervals
Results
43.0ms44×body2560valid
26.0ms17×body640valid
26.0ms175×body80valid
22.0ms32×body1280valid
12.0ms96×body80nan
8.0ms7×body5120valid
3.0ms7×body320valid

simplify122.0ms

Counts
1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize41.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b b) (* 4 (* a c))))
0.8b
(- (* b b) (* 4 (* a c)))
0.6b
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
0.1b
(/ (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2) a)

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×fma-neg
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 187
Calls
4 calls:
Slowest
82.0ms
(/ (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2) a)
62.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
17.0ms
(- (* b b) (* 4 (* a c)))
15.0ms
(sqrt (- (* b b) (* 4 (* a c))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(/ (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2) a)
132.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
116.0ms
(sqrt (- (* b b) (* 4 (* a c))))
63.0ms
(- (* b b) (* 4 (* a c)))

simplify919.0ms

Counts
199 → 199

prune3.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize29.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b b) (* 4 (* a c))))
0.8b
(- (* b b) (* 4 (* a c)))
0.6b
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
0.1b
(/ (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2) a)

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×fma-neg
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 187
Calls
4 calls:
Slowest
82.0ms
(/ (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2) a)
66.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
18.0ms
(sqrt (- (* b b) (* 4 (* a c))))
17.0ms
(- (* b b) (* 4 (* a c)))

series460.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(/ (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2) a)
131.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
123.0ms
(sqrt (- (* b b) (* 4 (* a c))))
54.0ms
(- (* b b) (* 4 (* a c)))

simplify882.0ms

Counts
199 → 199

prune2.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.7b

localize59.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b b) (* 4 (* a c))))
0.8b
(- (* b b) (* 4 (* a c)))
0.6b
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
0.1b
(/ 1 (/ a (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
693×times-frac
452×add-sqr-sqrt
377×*-un-lft-identity
303×add-cube-cbrt
74×difference-of-squares
71×associate-/r*
52×sqrt-prod
37×distribute-lft-out--
25×add-exp-log
19×prod-diff
17×div-inv
15×div-exp
13×add-cbrt-cube
8×add-log-exp
7×fma-neg
6×pow1 cbrt-undiv
5×associate-/r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×rec-exp flip3-- 1-exp flip-- associate-/l*
2×sub-neg sqrt-div diff-log
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-flip inv-pow
Counts
4 → 392
Calls
4 calls:
Slowest
52.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
49.0ms
(/ 1 (/ a (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2)))
9.0ms
(sqrt (- (* b b) (* 4 (* a c))))
8.0ms
(- (* b b) (* 4 (* a c)))

series502.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
172.0ms
(/ 1 (/ a (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2)))
130.0ms
(sqrt (- (* b b) (* 4 (* a c))))
118.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
81.0ms
(- (* b b) (* 4 (* a c)))

simplify894.0ms

Counts
404 → 404

prune6.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.7b

localize60.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b b) (* 4 (* a c))))
0.8b
(- (* b b) (* 4 (* a c)))
0.6b
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
0.2b
(* (/ 1 a) (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
46×*-un-lft-identity
36×add-cube-cbrt
34×times-frac
26×add-exp-log
22×associate-*r*
19×prod-diff sqrt-prod
16×add-cbrt-cube
13×associate-*l*
8×div-exp prod-exp add-log-exp difference-of-squares
7×pow1 fma-neg
6×unswap-sqr
4×expm1-log1p-u cbrt-undiv cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out--
3×flip3-- flip--
2×rec-exp sub-neg sqrt-div diff-log 1-exp div-inv
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 145
Calls
4 calls:
Slowest
82.0ms
(* (/ 1 a) (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2))
55.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
9.0ms
(sqrt (- (* b b) (* 4 (* a c))))
9.0ms
(- (* b b) (* 4 (* a c)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
198.0ms
(* (/ 1 a) (/ (- (sqrt (- (* b b) (* 4 (* a c)))) b) 2))
105.0ms
(- (sqrt (- (* b b) (* 4 (* a c)))) b)
101.0ms
(sqrt (- (* b b) (* 4 (* a c))))
59.0ms
(- (* b b) (* 4 (* a c)))

simplify927.0ms

Counts
157 → 157

prune2.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.7b

regimes444.0ms

Accuracy

83.3% (4.5b remaining)

Error of 10.0b against oracle of 5.5b and baseline of 32.7b

bsearch163.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.5s1065×body2560valid
1.1s5947×body80valid
787.0ms2799×body80nan
698.0ms879×body1280valid
230.0ms426×body640valid
172.0ms110×body5120valid
84.0ms211×body320valid
28.0ms106×body160valid