Details

Time bar (total: 19.1s)

sample145.0ms

Algorithm
intervals
Results
18.0ms39×body2560valid
14.0ms189×body80valid
11.0ms29×body1280valid
8.0ms87×body80nan
5.0ms15×body640valid
1.0ms6×body320valid
1.0ms2×body5120valid

simplify87.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize19.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b_2 b_2) (* a c)))
0.3b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u 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 → 122
Calls
4 calls:
Slowest
138.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
84.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
34.0ms
(sqrt (- (* b_2 b_2) (* a c)))
17.0ms
(- (* b_2 b_2) (* a c))

series438.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
108.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
106.0ms
(sqrt (- (* b_2 b_2) (* a c)))
60.0ms
(- (* b_2 b_2) (* a c))

simplify1.3s

Counts
134 → 134

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.8b

localize41.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b_2 b_2) (* a c)))
0.3b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u 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 → 122
Calls
4 calls:
Slowest
126.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
77.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
20.0ms
(sqrt (- (* b_2 b_2) (* a c)))
16.0ms
(- (* b_2 b_2) (* a c))

series317.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
95.0ms
(sqrt (- (* b_2 b_2) (* a c)))
86.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
38.0ms
(- (* b_2 b_2) (* a c))

simplify1.4s

Counts
134 → 134

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize36.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b_2 b_2) (* a c)))
0.3b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b
(- (* b_2 b_2) (* a c))
0.2b
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×*-un-lft-identity
27×add-cube-cbrt
19×prod-diff
17×sqrt-prod
13×associate-*r* add-exp-log
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1 fma-neg
6×associate-*l*
5×flip3-- flip--
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u difference-of-squares
3×unswap-sqr
2×frac-times sub-neg sqrt-div diff-log div-exp associate-*l/ cbrt-unprod distribute-lft-out--
1×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 123
Calls
4 calls:
Slowest
159.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
57.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))
15.0ms
(- (* b_2 b_2) (* a c))

series356.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
98.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
78.0ms
(sqrt (- (* b_2 b_2) (* a c)))
67.0ms
(- (* b_2 b_2) (* a c))

simplify1.9s

Counts
135 → 135

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.8b

localize29.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b_2 b_2) (* a c)))
0.3b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b
(- (* b_2 b_2) (* a c))
0.1b
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
137×add-sqr-sqrt
110×*-un-lft-identity
84×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
24×associate-/r*
19×prod-diff
15×add-exp-log
13×distribute-lft-out--
9×add-cbrt-cube associate-/r/
8×add-log-exp
7×flip3-- fma-neg div-exp flip--
6×pow1
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/l*
2×rec-exp sub-neg sqrt-div diff-log 1-exp
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-flip inv-pow
Counts
4 → 200
Calls
4 calls:
Slowest
71.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
65.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
10.0ms
(sqrt (- (* b_2 b_2) (* a c)))
9.0ms
(- (* b_2 b_2) (* a c))

series429.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
109.0ms
(sqrt (- (* b_2 b_2) (* a c)))
107.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
59.0ms
(- (* b_2 b_2) (* a c))

simplify705.0ms

Counts
212 → 212

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.8b

regimes337.0ms

Accuracy

83% (4.6b remaining)

Error of 10.5b against oracle of 6.0b and baseline of 32.9b

bsearch147.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
926.0ms5900×body80valid
735.0ms1070×body2560valid
629.0ms459×body640valid
503.0ms865×body1280valid
360.0ms2865×body80nan
118.0ms208×body320valid
77.0ms102×body5120valid
23.0ms113×body160valid