Details

Time bar (total: 22.5s)

sample393.0ms

Algorithm
intervals
Results
154.0ms59×body1280valid
44.0ms46×body640valid
30.0ms138×body80valid
17.0ms22×body320valid
12.0ms64×body80nan
5.0ms12×body160valid

simplify167.0ms

Counts
1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize82.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (sin B))
0.3b
(* x (/ 1.0 (tan B)))
6.3b
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
16.4b
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

rewrite372.0ms

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×pow-neg cbrt-unprod 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 → 154
Calls
4 calls:
10.0ms
(/ F (sin B))
20.0ms
(* x (/ 1.0 (tan B)))
247.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
80.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

series945.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ F (sin B))
168.0ms
(* x (/ 1.0 (tan B)))
452.0ms
(* (/ F (sin B)) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0))))
222.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (- (/ 1.0 2.0)))

simplify71.0ms

Counts
166 → 166

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
0.3b
(/ F (* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
0.3b
(* x (/ 1.0 (tan B)))
16.4b
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×add-exp-log add-cube-cbrt *-un-lft-identity
22×times-frac
21×associate-*r*
16×add-cbrt-cube
13×pow-unpow
8×prod-exp
7×pow1 unpow-prod-down
6×associate-*l*
5×div-exp unswap-sqr
4×cbrt-unprod 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 → 108
Calls
4 calls:
229.0ms
(* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
77.0ms
(/ F (* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
27.0ms
(* x (/ 1.0 (tan B)))
58.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

series1.2s

Counts
4 → 12
Calls
4 calls:
432.0ms
(* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
445.0ms
(/ F (* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
139.0ms
(* x (/ 1.0 (tan B)))
190.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

simplify86.0ms

Counts
120 → 120

prune656.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* x 1.0) (tan B))
0.3b
(* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
0.3b
(/ F (* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
16.4b
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

rewrite383.0ms

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-*r* prod-exp
6×div-exp
5×pow1
4×cbrt-undiv associate-/r* associate-/l* add-log-exp
3×pow-to-exp associate-*l* 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 → 97
Calls
4 calls:
17.0ms
(/ (* x 1.0) (tan B))
218.0ms
(* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
79.0ms
(/ F (* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
64.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
153.0ms
(/ (* x 1.0) (tan B))
381.0ms
(* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
409.0ms
(/ F (* (sin B) (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
206.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

simplify53.0ms

Counts
109 → 109

prune612.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
0.2b
(/ 1 (sin B))
0.6b
(* (/ 1 (sin B)) (/ F (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
16.4b
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

rewrite537.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
86×times-frac
61×*-un-lft-identity
58×add-exp-log
57×add-cube-cbrt
27×unpow-prod-down
25×div-exp associate-*r*
20×add-cbrt-cube
16×prod-exp
13×pow-unpow associate-*l*
12×unswap-sqr
11×sqr-pow
10×associate-/r*
8×pow1
6×cbrt-undiv pow-to-exp pow-exp associate-/l*
5×rec-exp 1-exp div-inv
4×cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip pow-pow associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 185
Calls
4 calls:
107.0ms
(/ F (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
14.0ms
(/ 1 (sin B))
312.0ms
(* (/ 1 (sin B)) (/ F (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))

series1.1s

Counts
4 → 12
Calls
4 calls:
346.0ms
(/ F (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0)))
34.0ms
(/ 1 (sin B))
559.0ms
(* (/ 1 (sin B)) (/ F (pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))))
204.0ms
(pow (+ (+ (* F F) 2.0) (* 2.0 x)) (/ 1.0 2.0))

simplify109.0ms

Counts
197 → 197

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

97.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 10.7b

bsearch522.0ms

Steps
ItersRangePoint
8
0.00024102673234667533
4.45864614599283
4.348176063609125
8
-46418.24401654817
-119.54622503529531
-13626.807799137005

simplify69.0ms

end0.0ms

sample10.9s

Algorithm
intervals
Results
3.5s1715×body1280valid
3.2s1362×body640valid
1.4s4758×body80valid
933.0ms1644×body80nan
721.0ms697×body320valid
365.0ms362×body160valid