Details

Time bar (total: 17.0s)

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
134505
121018
11659
10458
9359
8296
7201
6156
5140
4126
394
260
131
016

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
13.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
91×*-un-lft-identity
90×prod-diff
89×add-cube-cbrt
64×times-frac
48×distribute-rgt-in distribute-lft-in
14×associate-/r/
10×flip3-+ add-cbrt-cube add-exp-log flip-+
9×associate-*r*
8×pow1
7×div-inv
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×associate-/r* fma-def associate-/l*
2×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp flip-- distribute-lft-out--
Counts
4 → 192
Calls
4 calls:
9.0ms
(+ 2.30753 (* x 0.27061))
152.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
12.0ms
(* x (+ 0.99229 (* x 0.04481)))
23.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ 2.30753 (* x 0.27061))
150.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
81.0ms
(* x (+ 0.99229 (* x 0.04481)))
74.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.4s

Counts
204 → 204
Iterations
IterNodes
done5000
23724
1919
0366

prune819.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* (fma x 0.27061 2.30753) 0.70711) (fma (fma x 0.04481 0.99229) x 1.0)) (- (* 0.70711 x)))
0.1b
(fma (fma x 0.04481 0.99229) x 1.0)
0.1b
(* (fma x 0.27061 2.30753) 0.70711)
13.9b
(/ (* (fma x 0.27061 2.30753) 0.70711) (fma (fma x 0.04481 0.99229) x 1.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
11×add-cbrt-cube add-exp-log
10×add-cube-cbrt
8×add-log-exp
7×fma-def
6×pow1 times-frac
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* associate-*r* associate-*l*
2×cbrt-undiv sum-log div-exp prod-exp cbrt-unprod div-inv
1×neg-sub0 +-commutative clear-num associate-+r- frac-2neg flip3-+ unsub-neg pow-prod-down neg-log *-commutative flip-+ fma-udef distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 78
Calls
4 calls:
29.0ms
(+ (/ (* (fma x 0.27061 2.30753) 0.70711) (fma (fma x 0.04481 0.99229) x 1.0)) (- (* 0.70711 x)))
0.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
11.0ms
(* (fma x 0.27061 2.30753) 0.70711)
16.0ms
(/ (* (fma x 0.27061 2.30753) 0.70711) (fma (fma x 0.04481 0.99229) x 1.0))

series362.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(+ (/ (* (fma x 0.27061 2.30753) 0.70711) (fma (fma x 0.04481 0.99229) x 1.0)) (- (* 0.70711 x)))
47.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
106.0ms
(* (fma x 0.27061 2.30753) 0.70711)
119.0ms
(/ (* (fma x 0.27061 2.30753) 0.70711) (fma (fma x 0.04481 0.99229) x 1.0))

simplify1.4s

Counts
90 → 90
Iterations
IterNodes
done5001
21660
1346
0140

prune539.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma x 0.04481 0.99229) x 1.0)
0.2b
(* (fma x 0.27061 2.30753) (sqrt 0.70711))
0.2b
(* (* (fma x 0.27061 2.30753) (sqrt 0.70711)) (sqrt 0.70711))
13.9b
(/ (* (* (fma x 0.27061 2.30753) (sqrt 0.70711)) (sqrt 0.70711)) (fma (fma x 0.04481 0.99229) x 1.0))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
12×associate-*r*
11×pow1 *-un-lft-identity add-cube-cbrt
7×prod-exp sqrt-prod cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp
2×*-commutative unswap-sqr
1×clear-num frac-2neg fma-udef div-inv associate-/l*
Counts
4 → 82
Calls
4 calls:
0.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
15.0ms
(* (fma x 0.27061 2.30753) (sqrt 0.70711))
30.0ms
(* (* (fma x 0.27061 2.30753) (sqrt 0.70711)) (sqrt 0.70711))
28.0ms
(/ (* (* (fma x 0.27061 2.30753) (sqrt 0.70711)) (sqrt 0.70711)) (fma (fma x 0.04481 0.99229) x 1.0))

series577.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
125.0ms
(* (fma x 0.27061 2.30753) (sqrt 0.70711))
171.0ms
(* (* (fma x 0.27061 2.30753) (sqrt 0.70711)) (sqrt 0.70711))
243.0ms
(/ (* (* (fma x 0.27061 2.30753) (sqrt 0.70711)) (sqrt 0.70711)) (fma (fma x 0.04481 0.99229) x 1.0))

simplify1.0s

Counts
94 → 94
Iterations
IterNodes
done5001
21998
1344
0141

prune567.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma x 0.04481 0.99229) x 1.0)))
0.3b
(* (* (+ (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma x 0.04481 0.99229) x 1.0))) (sqrt x)) 0.70711) (- (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x)))
13.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.8b
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))

rewrite552.0ms

Algorithm
rewrite-expression-head
Rules
745×sqrt-prod
533×add-sqr-sqrt
505×*-un-lft-identity
504×prod-diff
503×add-cube-cbrt
476×times-frac
254×distribute-rgt-in distribute-lft-in
26×sqrt-div
24×associate-/r/
16×flip3-+ flip-+
14×associate-*r*
13×div-inv
11×pow1 add-cbrt-cube add-exp-log
10×difference-of-squares
8×associate-*l/
6×associate-/r* associate-/l*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×flip3-- pow-prod-down prod-exp cbrt-unprod flip--
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 associate-*r/
1×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp associate-*l* *-commutative distribute-lft-out--
Counts
4 → 642
Calls
4 calls:
15.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma x 0.04481 0.99229) x 1.0)))
461.0ms
(* (* (+ (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma x 0.04481 0.99229) x 1.0))) (sqrt x)) 0.70711) (- (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x)))
6.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))

series970.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma x 0.04481 0.99229) x 1.0)))
535.0ms
(* (* (+ (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma x 0.04481 0.99229) x 1.0))) (sqrt x)) 0.70711) (- (/ (sqrt (+ 2.30753 (* x 0.27061))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt x)))
128.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
136.0ms
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))

simplify1.2s

Counts
654 → 654
Iterations
IterNodes
done5000
12463
0845

prune1.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done27
227
125
017

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid