Details

Time bar (total: 36.0s)

sample91.0ms

Algorithm
intervals
Results
52.0ms379×body80valid
15.0ms141×body80nan

simplify283.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
283.0ms
(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 3 expressions with local error:

2.2b
(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0b
(* (pow k m) a)
0.0b
(fma (+ k 10) k 1)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×*-un-lft-identity add-cube-cbrt
7×associate-*l*
6×prod-exp
4×unpow-prod-down div-exp
3×expm1-log1p-u pow1 associate-/r* times-frac associate-*r* insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-to-exp cbrt-undiv pow-exp cbrt-unprod sqr-pow
1×clear-num frac-2neg *-commutative fma-udef div-inv associate-/l*
Counts
3 → 65
Calls
3 calls:
Slowest
13.0ms
(/ (* (pow k m) a) (fma (+ k 10) k 1))
11.0ms
(* (pow k m) a)
0.0ms
(fma (+ k 10) k 1)

series329.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
158.0ms
(* (pow k m) a)
147.0ms
(/ (* (pow k m) a) (fma (+ k 10) k 1))
23.0ms
(fma (+ k 10) k 1)

simplify5.2s

Counts
43 → 74
Calls
43 calls:
Slowest
662.0ms
(- (log (* (pow k m) a)) (log (fma (+ k 10) k 1)))
436.0ms
(/ (pow k m) (sqrt (fma (+ k 10) k 1)))
434.0ms
(* (* (* (pow k m) (pow k m)) (pow k m)) (* (* a a) a))
363.0ms
(/ (* (* (* (pow k m) a) (* (pow k m) a)) (* (pow k m) a)) (* (* (fma (+ k 10) k 1) (fma (+ k 10) k 1)) (fma (+ k 10) k 1)))
298.0ms
(- (+ a (* (log k) (* m a))) (* 10 (* a k)))

prune840.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize33.0ms

Local error

Found 3 expressions with local error:

5.2b
(/ a (fma (+ k 10) k 1))
0.0b
(* (pow k m) (/ a (fma (+ k 10) k 1)))
0.0b
(fma (+ k 10) k 1)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
21×times-frac
20×*-un-lft-identity add-cube-cbrt
18×add-exp-log
13×associate-*r*
10×add-cbrt-cube
7×associate-*l*
6×prod-exp unswap-sqr
5×unpow-prod-down
4×div-exp
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp sqr-pow
2×pow-to-exp cbrt-undiv pow-exp cbrt-unprod div-inv
1×clear-num frac-2neg associate-*r/ *-commutative fma-udef
Counts
3 → 87
Calls
3 calls:
Slowest
21.0ms
(* (pow k m) (/ a (fma (+ k 10) k 1)))
9.0ms
(/ a (fma (+ k 10) k 1))
0.0ms
(fma (+ k 10) k 1)

series254.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
152.0ms
(* (pow k m) (/ a (fma (+ k 10) k 1)))
72.0ms
(/ a (fma (+ k 10) k 1))
30.0ms
(fma (+ k 10) k 1)

simplify8.3s

Counts
74 → 96
Calls
74 calls:
Slowest
375.0ms
(- (+ (* 99 (* a (pow k 2))) a) (* 10 (* a k)))
327.0ms
(* (sqrt (pow k m)) (sqrt (/ a (fma (+ k 10) k 1))))
304.0ms
(* (sqrt (pow k m)) (/ (sqrt a) (sqrt (fma (+ k 10) k 1))))
299.0ms
(* (pow k (/ m 2)) (/ (sqrt a) (sqrt (fma (+ k 10) k 1))))
291.0ms
(* (sqrt (pow k m)) (sqrt (/ a (fma (+ k 10) k 1))))

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.2b

localize40.0ms

Local error

Found 4 expressions with local error:

15.0b
(sqrt (fma (+ k 10) k 1))
15.0b
(sqrt (fma (+ k 10) k 1))
0.1b
(* (/ 1 (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
0.0b
(/ 1 (sqrt (fma (+ k 10) k 1)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 div-exp
8×prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp sqrt-pow1 pow1/2 1-exp div-inv pow-flip associate-/l*
2×rem-sqrt-square
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 166
Calls
4 calls:
Slowest
17.0ms
(* (/ 1 (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
5.0ms
(/ 1 (sqrt (fma (+ k 10) k 1)))
1.0ms
(sqrt (fma (+ k 10) k 1))
1.0ms
(sqrt (fma (+ k 10) k 1))

series197.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
64.0ms
(* (/ 1 (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
58.0ms
(sqrt (fma (+ k 10) k 1))
40.0ms
(/ 1 (sqrt (fma (+ k 10) k 1)))
35.0ms
(sqrt (fma (+ k 10) k 1))

simplify13.8s

Counts
161 → 178
Calls
161 calls:
Slowest
588.0ms
(* (* (* (/ 1 (sqrt (fma (+ k 10) k 1))) (/ 1 (sqrt (fma (+ k 10) k 1)))) (/ 1 (sqrt (fma (+ k 10) k 1)))) (* (* (/ a (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1)))) (/ a (sqrt (fma (+ k 10) k 1)))))
362.0ms
(- (+ (* 99 (* a (pow k 2))) a) (* 10 (* a k)))
273.0ms
(- (* 5 (/ 1 (pow k 2))) (+ (/ 1 k) (* 37 (/ 1 (pow k 3)))))
255.0ms
(- (+ (/ a (pow k 2)) (* 99 (/ a (pow k 4)))) (* 10 (/ a (pow k 3))))
237.0ms
(- (+ (/ a (pow k 2)) (* 99 (/ a (pow k 4)))) (* 10 (/ a (pow k 3))))

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.2b

regimes126.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.1b and baseline of 2.1b

bsearch1.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.6s12000×body80valid
613.0ms4232×body80nan