Details

Time bar (total: 29.1s)

sample105.0ms

Algorithm
intervals
Results
66.0ms395×body80valid
16.0ms138×body80nan

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
62068
5649
4212
394
250
124
012

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow k m) a)
1.4b
(/ (* (pow k m) a) (fma k (+ k 10) 1))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×add-sqr-sqrt
9×add-cbrt-cube
7×*-un-lft-identity associate-*l* add-cube-cbrt
6×prod-exp
4×unpow-prod-down div-exp
3×associate-/r* times-frac associate-*r* unswap-sqr
2×expm1-log1p-u pow-to-exp pow1 cbrt-undiv pow-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp sqr-pow
1×clear-num frac-2neg *-commutative div-inv associate-/l*
Counts
2 → 54
Calls
2 calls:
17.0ms
(* (pow k m) a)
21.0ms
(/ (* (pow k m) a) (fma k (+ k 10) 1))

series286.0ms

Counts
2 → 6
Calls
2 calls:
147.0ms
(* (pow k m) a)
140.0ms
(/ (* (pow k m) a) (fma k (+ k 10) 1))

simplify3.3s

Counts
60 → 60
Iterations
IterNodes
35236
21038
1310
0129

prune826.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* a (pow k m))
1.4b
(/ (* a (pow k m)) (fma k (+ k 10) 1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×add-sqr-sqrt
9×add-cbrt-cube
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×prod-exp
4×unpow-prod-down div-exp
3×associate-/r* times-frac associate-*l* unswap-sqr
2×expm1-log1p-u pow-to-exp pow1 cbrt-undiv pow-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp sqr-pow
1×clear-num frac-2neg *-commutative div-inv associate-/l*
Counts
2 → 54
Calls
2 calls:
10.0ms
(* a (pow k m))
12.0ms
(/ (* a (pow k m)) (fma k (+ k 10) 1))

series300.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(* a (pow k m))
179.0ms
(/ (* a (pow k m)) (fma k (+ k 10) 1))

simplify2.0s

Counts
60 → 60
Iterations
IterNodes
34676
2972
1307
0132

prune788.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(* a (pow k m))
0.2b
(/ 1 (fma k (+ k 10) 1))
1.4b
(* (* a (pow k m)) (/ 1 (fma k (+ k 10) 1)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
31×prod-exp
26×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×associate-*r*
19×add-cbrt-cube
18×times-frac
10×div-exp
7×cbrt-unprod
6×pow1
5×pow-to-exp rec-exp 1-exp pow-exp
4×unpow-prod-down associate-*l*
3×expm1-log1p-u cbrt-undiv associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×*-commutative div-inv sqr-pow
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv pow-flip inv-pow
Counts
3 → 110
Calls
3 calls:
10.0ms
(* a (pow k m))
5.0ms
(/ 1 (fma k (+ k 10) 1))
42.0ms
(* (* a (pow k m)) (/ 1 (fma k (+ k 10) 1)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* a (pow k m))
33.0ms
(/ 1 (fma k (+ k 10) 1))
151.0ms
(* (* a (pow k m)) (/ 1 (fma k (+ k 10) 1)))

simplify4.7s

Counts
119 → 119
Iterations
IterNodes
35165
21392
1486
0195

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (pow k m) a)
0.3b
(/ 1 (/ (fma k (+ k 10) 1) (* (pow k m) a)))
1.2b
(/ (fma k (+ k 10) 1) (* (pow k m) a))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
36×times-frac
29×add-sqr-sqrt
26×div-exp
24×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube
15×prod-exp
8×associate-/r*
7×cbrt-undiv associate-*l*
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp pow-exp
4×pow1 unpow-prod-down
3×expm1-log1p-u associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg sqr-pow
1×associate-/r/ *-commutative pow-flip inv-pow
Counts
3 → 119
Calls
3 calls:
22.0ms
(* (pow k m) a)
29.0ms
(/ 1 (/ (fma k (+ k 10) 1) (* (pow k m) a)))
14.0ms
(/ (fma k (+ k 10) 1) (* (pow k m) a))

series415.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(* (pow k m) a)
152.0ms
(/ 1 (/ (fma k (+ k 10) 1) (* (pow k m) a)))
142.0ms
(/ (fma k (+ k 10) 1) (* (pow k m) a))

simplify7.7s

Counts
128 → 128
Iterations
IterNodes
37420
21649
1528
0223

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

98.7% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch107.0ms

Steps
ItersRangePoint
8
2.212400790783488e+143
4.291391726692696e+147
3.5660217219440296e+143

simplify9.0ms

Iterations
IterNodes
235
135
028

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.9s11965×body80valid
1.0s4325×body80nan