Details

Time bar (total: 21.5s)

sample163.0ms

Algorithm
intervals
Results
49.0ms30×body2560valid
30.0ms182×body80valid
28.0ms32×body1280valid
14.0ms86×body80nan
6.0ms9×body640valid
6.0ms5×body5120valid
4.0ms9×body320valid
2.0ms7×body160valid

simplify103.0ms

Counts
1 → 1
Iterations
IterNodes
895
795
694
592
484
367
243
124
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
1.4b
(- (* b b) (* (* 4 a) c))
2.5b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
21.7b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite178.0ms

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:
113.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
14.0ms
(- (* b b) (* (* 4 a) c))
41.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
8.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
83.0ms
(- (* b b) (* (* 4 a) c))
134.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
79.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
33741
21127
1394
0161

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
1.4b
(- (* b b) (* (* 4 a) c))
2.5b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
21.7b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite135.0ms

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:
69.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
15.0ms
(- (* b b) (* (* 4 a) c))
42.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
8.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
76.0ms
(- (* b b) (* (* 4 a) c))
141.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
120.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.6s

Counts
100 → 100
Iterations
IterNodes
33741
21127
1394
0161

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
1.4b
(- (* b b) (* (* 4 a) c))
2.5b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
21.7b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
18×*-un-lft-identity
13×associate-*r* add-exp-log add-cube-cbrt
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
5×flip3-- sqrt-prod flip--
4×prod-exp insert-posit16 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 → 89
Calls
4 calls:
161.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
7.0ms
(- (* b b) (* (* 4 a) c))
45.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
50.0ms
(- (* b b) (* (* 4 a) c))
115.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
123.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.4s

Counts
101 → 101
Iterations
IterNodes
34915
21466
1456
0181

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
1.4b
(- (* b b) (* (* 4 a) c))
2.5b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
21.7b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
123×add-sqr-sqrt
96×*-un-lft-identity
70×add-cube-cbrt
26×difference-of-squares
24×associate-/r*
16×sqrt-prod
15×add-exp-log
13×distribute-lft-out--
9×add-cbrt-cube associate-/r/
8×add-log-exp
7×flip3-- div-exp flip--
6×pow1
5×div-inv
4×insert-posit16
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 → 166
Calls
4 calls:
71.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
14.0ms
(- (* b b) (* (* 4 a) c))
63.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
49.0ms
(- (* b b) (* (* 4 a) c))
98.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
88.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.5s

Counts
178 → 178
Iterations
IterNodes
36120
21836
1644
0265

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.0b

regimes338.0ms

Accuracy

82.8% (4.7b remaining)

Error of 10.3b against oracle of 5.5b and baseline of 33.1b

bsearch178.0ms

Steps
ItersRangePoint
7
6.1141969789339016e-111
5.505912162480727e-109
9.831724396970673e-110
8
-1.7996802595953755e+64
-1.2634430355867738e+61
-1.665963569877209e+64

simplify6.0ms

Iterations
IterNodes
231
131
027

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.3s1109×body2560valid
861.0ms5850×body80valid
810.0ms2882×body80nan
696.0ms885×body1280valid
282.0ms419×body640valid
143.0ms114×body5120valid
87.0ms229×body320valid
31.0ms127×body160valid