Details

Time bar (total: 35.0s)

sample456.0ms

Algorithm
intervals
Results
153.0ms57×body1280valid
67.0ms47×body640valid
45.0ms147×body80valid
21.0ms21×body320valid
13.0ms54×body80nan
4.0ms7×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
02027
14326
29124
317024
438524
5175824
done500024

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (sin B))
0.3b
(* x (/ 1.0 (tan B)))
6.1b
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
20.1b
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
49×times-frac
45×add-cube-cbrt *-un-lft-identity
30×pow-unpow
25×add-exp-log
21×associate-*r*
16×associate-*l* add-cbrt-cube
13×distribute-lft-neg-in distribute-rgt-neg-in
8×unpow-prod-down prod-exp unswap-sqr
7×pow1
5×div-exp div-inv
4×expm1-log1p-u pow-neg cbrt-unprod log1p-expm1-u add-log-exp sqr-pow
3×cbrt-undiv neg-sub0 pow-to-exp associate-*r/ pow-exp associate-/r* associate-/l* pow-sub
2×frac-times *-commutative
1×tan-quot neg-mul-1 pow-pow frac-2neg pow-prod-down associate-*l/ clear-num associate-/r/ un-div-inv
Counts
4 → 162
Calls
4 calls:
12.0ms
(/ F (sin B))
19.0ms
(* x (/ 1.0 (tan B)))
269.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
96.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

series943.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ F (sin B))
182.0ms
(* x (/ 1.0 (tan B)))
419.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
242.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

simplify2.6s

Counts
174 → 174
Iterations

Useful iterations: 2 (920.0ms)

IterNodesCost
03112820
18722548
238772293
done50002293

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
0.3b
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
0.3b
(* x (/ 1.0 (tan B)))
20.1b
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×add-exp-log add-cube-cbrt *-un-lft-identity
22×times-frac
17×associate-*r*
16×add-cbrt-cube
13×pow-unpow
10×associate-*l*
8×prod-exp
7×pow1 unpow-prod-down
5×div-exp unswap-sqr
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-undiv pow-to-exp pow-exp div-inv associate-/l* sqr-pow
2×*-commutative
1×tan-quot pow-pow frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* associate-/r/
Counts
4 → 116
Calls
4 calls:
23.0ms
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
31.0ms
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
48.0ms
(* x (/ 1.0 (tan B)))
9.0ms
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

series2.8s

Counts
4 → 12
Calls
4 calls:
624.0ms
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
1.5s
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
162.0ms
(* x (/ 1.0 (tan B)))
424.0ms
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

simplify1.8s

Counts
128 → 128
Iterations

Useful iterations: 2 (651.0ms)

IterNodesCost
02832182
17432096
231631905
done50021905

prune713.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* x 1.0) (tan B))
0.2b
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
0.3b
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
20.1b
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
15×times-frac
13×pow-unpow
7×unpow-prod-down associate-*l* prod-exp
6×div-exp
5×pow1
4×cbrt-undiv expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×pow-to-exp associate-*r* pow-exp cbrt-unprod div-inv unswap-sqr sqr-pow
2×frac-2neg clear-num
1×tan-quot pow-pow associate-/r/ *-commutative
Counts
4 → 105
Calls
4 calls:
46.0ms
(/ (* x 1.0) (tan B))
23.0ms
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
30.0ms
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
9.0ms
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

series3.2s

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (* x 1.0) (tan B))
967.0ms
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
1.5s
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
550.0ms
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

simplify1.7s

Counts
117 → 117
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02682084
16942004
231651821
done50021815

prune717.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
0.3b
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
0.3b
(/ 1 (/ (tan B) (* x 1.0)))
20.1b
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
41×add-exp-log
38×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
16×div-exp
13×pow-unpow
9×prod-exp
8×associate-/r*
7×cbrt-undiv unpow-prod-down associate-*l* div-inv
6×pow1 associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp rec-exp 1-exp associate-*r* pow-exp cbrt-unprod unswap-sqr sqr-pow
2×frac-2neg clear-num
1×pow-flip pow-pow associate-/r/ *-commutative inv-pow
Counts
4 → 139
Calls
4 calls:
23.0ms
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
30.0ms
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
30.0ms
(/ 1 (/ (tan B) (* x 1.0)))
9.0ms
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

series2.5s

Counts
4 → 12
Calls
4 calls:
486.0ms
(/ F (* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B)))
1.3s
(* (pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0)) (sin B))
146.0ms
(/ 1 (/ (tan B) (* x 1.0)))
509.0ms
(pow (fma 2.0 x (fma F F 2.0)) (/ 1.0 2.0))

simplify2.2s

Counts
151 → 151
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03282627
18622426
237772225
done50002223

prune848.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes247.0ms

Accuracy

98.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 10.8b

bsearch414.0ms

Steps
ItersRangePoint
6
2.7798142160838785e+51
1.4223769975242102e+52
2.807063357183112e+51
8
-1.3314355258981093e+24
-3.7331423266757967e+21
-4.558293311076001e+21

simplify37.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03574
14674
25274
done5274

end0.0ms

sample9.9s

Algorithm
intervals
Results
3.9s1696×body1280valid
2.5s1381×body640valid
1.7s4838×body80valid
692.0ms675×body320valid
363.0ms1675×body80nan
269.0ms337×body160valid