Details

Time bar (total: 18.3s)

sample98.0ms

Algorithm
intervals
Results
19.0ms109×body320valid
15.0ms255×body80nan
14.0ms511×pre80true
12.0ms97×body160valid
5.0ms17×body640valid
2.0ms33×body80valid

simplify96.0ms

Counts
1 → 1
Iterations
IterNodes
done120
5120
4112
383
242
122
012

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (* 3.0 a) (- c) (* b b)))
0.1b
(fma (* 3.0 a) (- c) (* b b))
0.2b
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
26.4b
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff sqrt-prod
9×add-cbrt-cube add-exp-log
6×times-frac fma-neg associate-/l* add-log-exp difference-of-squares
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-out--
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×rem-sqrt-square clear-num associate-/r* sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp cbrt-unprod fma-udef div-inv
Counts
4 → 98
Calls
4 calls:
3.0ms
(sqrt (fma (* 3.0 a) (- c) (* b b)))
1.0ms
(fma (* 3.0 a) (- c) (* b b))
43.0ms
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
10.0ms
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

series620.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(sqrt (fma (* 3.0 a) (- c) (* b b)))
96.0ms
(fma (* 3.0 a) (- c) (* b b))
225.0ms
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
159.0ms
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

simplify876.0ms

Counts
110 → 110
Iterations
IterNodes
done5000
21258
1342
0148

prune645.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* c a) (- 3.0) (* b b))
0.3b
(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
0.3b
(fma (- (* c a)) 3.0 0)
0.3b
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
49×*-un-lft-identity
29×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
18×add-cbrt-cube add-exp-log
10×distribute-lft-out
7×cbrt-undiv div-exp
6×associate-/r/
5×associate-/r*
4×expm1-log1p-u pow1 log1p-expm1-u div-inv add-log-exp
3×flip3-+ flip-+
2×clear-num frac-2neg prod-exp cbrt-unprod fma-udef
1×associate-/l/
Counts
4 → 113
Calls
4 calls:
0.0ms
(fma (* c a) (- 3.0) (* b b))
19.0ms
(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
1.0ms
(fma (- (* c a)) 3.0 0)
32.0ms
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

series1.2s

Counts
4 → 12
Calls
4 calls:
89.0ms
(fma (* c a) (- 3.0) (* b b))
371.0ms
(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
61.0ms
(fma (- (* c a)) 3.0 0)
647.0ms
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

simplify1.2s

Counts
125 → 125
Iterations
IterNodes
done5000
22235
1486
0197

prune905.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* a c) 3.0)
0.3b
(/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0))))
0.3b
(/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0)))
0.3b
(/ (/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0)))) (* 3.0 a))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
605×times-frac
348×*-un-lft-identity
214×add-sqr-sqrt add-cube-cbrt
96×associate-/l*
67×add-exp-log distribute-lft-out
45×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
37×add-cbrt-cube
36×div-exp
35×associate-/r*
16×cbrt-undiv
15×div-inv
10×pow1 prod-exp
6×rec-exp 1-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r* pow-prod-down associate-/r/ associate-/l/
1×flip3-+ associate-*l* *-commutative flip-+ pow-flip inv-pow
Counts
4 → 420
Calls
4 calls:
28.0ms
(* (* a c) 3.0)
36.0ms
(/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0))))
22.0ms
(/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0)))
81.0ms
(/ (/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0)))) (* 3.0 a))

series578.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* a c) 3.0)
236.0ms
(/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0))))
149.0ms
(/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0)))
170.0ms
(/ (/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* a c) 3.0)))) (* 3.0 a))

simplify841.0ms

Counts
432 → 432
Iterations
IterNodes
done5000
11612
0580

prune2.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c))))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c)))
0.3b
(/ (/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c)))) (* 3.0 a))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
605×times-frac
348×*-un-lft-identity
214×add-sqr-sqrt add-cube-cbrt
96×associate-/l*
67×add-exp-log distribute-lft-out
45×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
37×add-cbrt-cube
36×div-exp
35×associate-/r*
16×cbrt-undiv
15×div-inv
10×pow1 prod-exp
6×rec-exp 1-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r* pow-prod-down associate-/r/ associate-/l/
1×flip3-+ associate-*l* *-commutative flip-+ pow-flip inv-pow
Counts
4 → 420
Calls
4 calls:
39.0ms
(/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c))))
15.0ms
(* (* 3.0 a) c)
38.0ms
(/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c)))
69.0ms
(/ (/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c)))) (* 3.0 a))

series701.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c))))
36.0ms
(* (* 3.0 a) c)
175.0ms
(/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c)))
239.0ms
(/ (/ 1 (/ (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) (- (* (* 3.0 a) c)))) (* 3.0 a))

simplify951.0ms

Counts
432 → 432
Iterations
IterNodes
done5000
11626
0573

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done23
223
121
016

end0.0ms

sample4.3s

Algorithm
intervals
Results
889.0ms3672×body320valid
875.0ms2946×body160valid
779.0ms16208×pre80true
743.0ms8208×body80nan
167.0ms469×body640valid
91.0ms913×body80valid