Details

Time bar (total: 17.1s)

sample134.0ms

Algorithm
intervals
Results
47.0ms506×pre80true
17.0ms135×body160valid
16.0ms250×body80nan
9.0ms48×body320valid
5.0ms73×body80valid

simplify77.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.9b

localize26.0ms

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))
0.3b
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
34.3b
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

rewrite40.0ms

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:
1.0ms
(sqrt (fma (* 3.0 a) (- c) (* b b)))
0.0ms
(fma (* 3.0 a) (- c) (* b b))
27.0ms
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
9.0ms
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

series548.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(sqrt (fma (* 3.0 a) (- c) (* b b)))
93.0ms
(fma (* 3.0 a) (- c) (* b b))
170.0ms
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
132.0ms
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

simplify950.0ms

Counts
110 → 110
Iterations
IterNodes
done5000
21258
1342
0148

prune483.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ 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)))))
0.4b
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
52×*-un-lft-identity
30×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
18×add-cbrt-cube add-exp-log
11×distribute-lft-out
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×associate-/r*
4×expm1-log1p-u pow1 flip3-+ flip-+ log1p-expm1-u div-inv
3×fma-def
2×clear-num frac-2neg prod-exp cbrt-unprod
1×+-commutative sum-log fma-udef associate-/l/
Counts
4 → 120
Calls
4 calls:
8.0ms
(+ b (sqrt (fma (* c a) (- 3.0) (* b b))))
1.0ms
(fma (- (* c a)) 3.0 0)
25.0ms
(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
23.0ms
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

series856.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(+ b (sqrt (fma (* c a) (- 3.0) (* b b))))
52.0ms
(fma (- (* c a)) 3.0 0)
333.0ms
(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
317.0ms
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

simplify1.2s

Counts
132 → 132
Iterations
IterNodes
done5001
22312
1508
0202

prune897.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ b (sqrt (fma (* c a) (- 3.0) (* b b))))
0.3b
(* (* -3.0 a) c)
0.3b
(/ (* (* -3.0 a) c) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
0.4b
(/ (/ (* (* -3.0 a) c) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
50×add-cbrt-cube add-exp-log
22×*-un-lft-identity times-frac
17×cbrt-undiv div-exp
16×prod-exp cbrt-unprod
12×add-sqr-sqrt add-cube-cbrt
11×associate-/l*
9×pow1
6×associate-/r/ add-log-exp
5×associate-/r* distribute-lft-out
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv
3×fma-def associate-*r* pow-prod-down
2×clear-num frac-2neg
1×+-commutative sum-log associate-*l* *-commutative associate-/l/
Counts
4 → 116
Calls
4 calls:
5.0ms
(+ b (sqrt (fma (* c a) (- 3.0) (* b b))))
14.0ms
(* (* -3.0 a) c)
28.0ms
(/ (* (* -3.0 a) c) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
51.0ms
(/ (/ (* (* -3.0 a) c) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

series763.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ b (sqrt (fma (* c a) (- 3.0) (* b b))))
24.0ms
(* (* -3.0 a) c)
303.0ms
(/ (* (* -3.0 a) c) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
299.0ms
(/ (/ (* (* -3.0 a) c) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

simplify2.1s

Counts
128 → 128
Iterations
IterNodes
done5001
23941
1601
0208

prune814.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma c (* a (- 3.0)) (* b b))
0.2b
(/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b)))))
0.4b
(/ (* a 3.0) (/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b))))))
0.4b
(/ (/ (* -3.0 a) 1) (/ (* a 3.0) (/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b)))))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
527×times-frac
217×*-un-lft-identity
149×add-sqr-sqrt add-cube-cbrt
128×add-exp-log
87×add-cbrt-cube
82×div-exp
50×cbrt-undiv
45×associate-/r* div-inv
34×distribute-lft-out
32×associate-/r/
22×prod-exp
13×cbrt-unprod
11×flip3-+ flip-+ associate-/l*
10×1-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×fma-udef associate-/l/
Counts
4 → 348
Calls
4 calls:
0.0ms
(fma c (* a (- 3.0)) (* b b))
22.0ms
(/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b)))))
44.0ms
(/ (* a 3.0) (/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b))))))
40.0ms
(/ (/ (* -3.0 a) 1) (/ (* a 3.0) (/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b)))))))

series843.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(fma c (* a (- 3.0)) (* b b))
255.0ms
(/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b)))))
264.0ms
(/ (* a 3.0) (/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b))))))
249.0ms
(/ (/ (* -3.0 a) 1) (/ (* a 3.0) (/ c (+ b (sqrt (fma c (* a (- 3.0)) (* b b)))))))

simplify1.0s

Counts
360 → 360
Iterations
IterNodes
done5001
11977
0571

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done28
228
125
018

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s16148×pre80true
740.0ms4805×body160valid
629.0ms8148×body80nan
309.0ms1301×body320valid
160.0ms1894×body80valid