Details

Time bar (total: 10.1s)

sample59.0ms

Algorithm
intervals
Results
25.0ms487×body80valid

simplify119.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018
done50018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b
(fma x y (* z t))
0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
4.6b
(* (- (fma c b a)) (* c i))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out associate-*r* *-commutative fma-udef
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 72
Calls
4 calls:
47.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms
(fma x y (* z t))
0.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
21.0ms
(* (- (fma c b a)) (* c i))

series993.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
47.0ms
(fma x y (* z t))
787.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
75.0ms
(* (- (fma c b a)) (* c i))

simplify50.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0284526
11170437
25002427
done5002427

prune352.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.4b
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.4b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
4.6b
(* (- (fma c b a)) (* c i))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log add-cbrt-cube
22×associate-*l*
19×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in associate-*r* *-commutative distribute-rgt-neg-out
1×neg-mul-1 fma-udef
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma x y (* z t))
126.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
51.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
20.0ms
(* (- (fma c b a)) (* c i))

series609.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(fma x y (* z t))
305.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
186.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
71.0ms
(* (- (fma c b a)) (* c i))

simplify65.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0363738
11586602
25002578
done5002578

prune459.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.3b
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.4b
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
4.6b
(* (- (fma c b a)) (* c i))

rewrite555.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1 add-exp-log add-cbrt-cube
34×associate-*l* pow-prod-down prod-exp cbrt-unprod
21×sqrt-prod
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×distribute-rgt-neg-out
4×distribute-lft-neg-out expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 124
Calls
4 calls:
347.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
130.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
50.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
20.0ms
(* (- (fma c b a)) (* c i))

series1.1s

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
494.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
190.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
71.0ms
(* (- (fma c b a)) (* c i))

simplify83.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
04591297
121971030
25003975
done5003975

prune833.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.3b
(* (sqrt (sqrt 2.0)) (* 1 (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))))
0.4b
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
4.6b
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

rewrite446.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
94×prod-exp
43×add-cbrt-cube
34×associate-*l*
33×sqrt-prod
32×add-sqr-sqrt
28×cbrt-unprod
23×pow1
17×add-cube-cbrt *-un-lft-identity
13×pow-prod-down
12×unpow-prod-down cube-prod associate-*r*
9×1-exp
8×unswap-sqr
7×pow-to-exp pow-exp
5×distribute-rgt-neg-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative fma-udef
2×distribute-lft-neg-out distribute-neg-in sqr-pow
1×distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3
Counts
4 → 146
Calls
4 calls:
0.0ms
(fma x y (* z t))
357.0ms
(* (sqrt (sqrt 2.0)) (* 1 (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))))
33.0ms
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
49.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

series1.2s

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma x y (* z t))
308.0ms
(* (sqrt (sqrt 2.0)) (* 1 (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))))
357.0ms
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
488.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

simplify136.0ms

Counts
158 → 158
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
06431638
132471427
250011266
done50011266

prune594.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.0b

regimes566.0ms

Accuracy

0% (1.1b remaining)

Error of 1.7b against oracle of 0.6b and baseline of 1.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02915
13715
25515
36615
46815
56815
done6815

end0.0ms

sample1.6s

Algorithm
intervals
Results
679.0ms15017×body80valid