Details

Time bar (total: 14.5s)

sample113.0ms

Algorithm
intervals
Results
36.0ms140×body160valid
16.0ms313×body80nan
14.0ms569×pre80true
6.0ms116×body80valid

simplify106.0ms

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (fma (* 3.0 a) (- c) (* b b)))
0.3b
(fma (* 3.0 a) (- c) (* b b))
0.3b
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
28.2b
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

rewrite49.0ms

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))
24.0ms
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
16.0ms
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

series531.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(sqrt (fma (* 3.0 a) (- c) (* b b)))
93.0ms
(fma (* 3.0 a) (- c) (* b b))
188.0ms
(/ (- (sqrt (fma (* 3.0 a) (- c) (* b b))) b) (* 3.0 a))
130.0ms
(- (sqrt (fma (* 3.0 a) (- c) (* b b))) b)

simplify824.0ms

Counts
110 → 110
Iterations
IterNodes
done5000
21258
1342
0148

prune646.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b
(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)
0.4b
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

rewrite39.0ms

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))
11.0ms
(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
0.0ms
(fma (- (* c a)) 3.0 0)
23.0ms
(/ (/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b))))) (* 3.0 a))

series842.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(fma (* c a) (- 3.0) (* b b))
309.0ms
(/ (fma (- (* c a)) 3.0 0) (+ b (sqrt (fma (* c a) (- 3.0) (* b b)))))
70.0ms
(fma (- (* c a)) 3.0 0)
348.0ms
(/ (/ (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

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (- (* a c)) 3.0 (* b b))
0.3b
(* (* (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) a) 3.0)
0.3b
(fma (- (* c a)) 3.0 0)
0.4b
(/ (fma (- (* c a)) 3.0 0) (* (* (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) a) 3.0))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
9×pow1
8×associate-*l/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp associate-*r* pow-prod-down associate-/l*
2×flip3-+ associate-/r/ flip-+ fma-udef
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative div-inv
Counts
4 → 69
Calls
4 calls:
1.0ms
(fma (- (* a c)) 3.0 (* b b))
58.0ms
(* (* (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) a) 3.0)
0.0ms
(fma (- (* c a)) 3.0 0)
63.0ms
(/ (fma (- (* c a)) 3.0 0) (* (* (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) a) 3.0))

series593.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(fma (- (* a c)) 3.0 (* b b))
128.0ms
(* (* (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) a) 3.0)
59.0ms
(fma (- (* c a)) 3.0 0)
314.0ms
(/ (fma (- (* c a)) 3.0 0) (* (* (+ b (sqrt (fma (- (* a c)) 3.0 (* b b)))) a) 3.0))

simplify1.0s

Counts
81 → 81
Iterations
IterNodes
done5000
22151
1383
0142

prune669.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (* c a) (- 3.0) (* b b))
0.3b
(fma (- (* c a)) 3.0 0)
0.4b
(/ (fma (- (* c a)) 3.0 0) (pow (* (+ (sqrt (fma (* c a) (- 3.0) (* b b))) b) (* a 3.0)) 1))
0.4b
(* (+ (sqrt (fma (* c a) (- 3.0) (* b b))) b) (* a 3.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
17×*-un-lft-identity
15×add-sqr-sqrt times-frac add-cube-cbrt
11×add-cbrt-cube
9×pow1
6×prod-exp
5×associate-/r* div-exp
4×expm1-log1p-u unpow-prod-down associate-*l* log1p-expm1-u add-log-exp sqr-pow
3×pow-prod-down pow-exp cbrt-unprod associate-/l*
2×associate-*l/ fma-udef
1×pow-to-exp cbrt-undiv clear-num frac-2neg flip3-+ associate-*r* *-commutative flip-+ div-inv distribute-lft-out
Counts
4 → 84
Calls
4 calls:
0.0ms
(fma (* c a) (- 3.0) (* b b))
0.0ms
(fma (- (* c a)) 3.0 0)
16.0ms
(/ (fma (- (* c a)) 3.0 0) (pow (* (+ (sqrt (fma (* c a) (- 3.0) (* b b))) b) (* a 3.0)) 1))
36.0ms
(* (+ (sqrt (fma (* c a) (- 3.0) (* b b))) b) (* a 3.0))

series735.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(fma (* c a) (- 3.0) (* b b))
54.0ms
(fma (- (* c a)) 3.0 0)
342.0ms
(/ (fma (- (* c a)) 3.0 0) (pow (* (+ (sqrt (fma (* c a) (- 3.0) (* b b))) b) (* a 3.0)) 1))
264.0ms
(* (+ (sqrt (fma (* c a) (- 3.0) (* b b))) b) (* a 3.0))

simplify1.1s

Counts
96 → 96
Iterations
IterNodes
done5000
22070
1383
0165

prune530.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes431.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done30
230
127
018

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s16487×pre80true
692.0ms8487×body80nan
637.0ms4385×body160valid
388.0ms3615×body80valid