Details

Time bar (total: 9.3s)

sample52.0ms

Algorithm
intervals
Results
19.0ms487×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018
done50018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize20.0ms

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))

rewrite66.0ms

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:
44.0ms
(* 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))))
19.0ms
(* (- (fma c b a)) (* c i))

series873.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
49.0ms
(fma x y (* z t))
695.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
62.0ms
(* (- (fma c b a)) (* c i))

simplify45.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0284526
11170437
25002427
done5002427

prune320.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

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))

rewrite189.0ms

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))
119.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
44.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
23.0ms
(* (- (fma c b a)) (* c i))

series537.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma x y (* z t))
259.0ms
(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
166.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
64.0ms
(* (- (fma c b a)) (* c i))

simplify56.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0363738
11586602
25002578
done5002578

prune409.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

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))

rewrite517.0ms

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:
325.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
121.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
44.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
22.0ms
(* (- (fma c b a)) (* c i))

series1.1s

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
643.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
160.0ms
(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
66.0ms
(* (- (fma c b a)) (* c i))

simplify76.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
04591297
121971030
25003975
done5003975

prune511.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log
50×prod-exp
42×add-sqr-sqrt
39×sqrt-prod
34×associate-*l*
20×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×pow-exp unswap-sqr
13×unpow-prod-down
12×cube-prod
10×pow1 cbrt-unprod
6×pow-to-exp sqr-pow
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative fma-udef
2×distribute-neg-in distribute-rgt-neg-out
1×distribute-lft-neg-out distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3
Counts
4 → 139
Calls
4 calls:
0.0ms
(fma x y (* z t))
43.0ms
(* (sqrt (sqrt 2.0)) (pow (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i)) 1))
27.0ms
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
47.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

series1.0s

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma x y (* z t))
266.0ms
(* (sqrt (sqrt 2.0)) (pow (* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i)) 1))
310.0ms
(* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a)))
423.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) (- (fma c b a))) (* c i))

simplify116.0ms

Counts
151 → 151
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
05291570
127881438
250011325
done50011325

prune563.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.0b

regimes1.0s

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
13715
25515
36615
46815
56815
done6815

end0.0ms

sample1.5s

Algorithm
intervals
Results
626.0ms15017×body80valid