Details

Time bar (total: 18.8s)

sample116.0ms

Algorithm
intervals
Results
56.0ms379×body80valid
35.0ms166×body80nan

simplify1.3s

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize17.0ms

Local error

Found 2 expressions with local error:

1.5b
(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0b
(* (pow k m) a)

rewrite23.0ms

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:
Slowest
13.0ms
(/ (* (pow k m) a) (fma (+ k 10) k 1))
9.0ms
(* (pow k m) a)

series244.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
137.0ms
(/ (* (pow k m) a) (fma (+ k 10) k 1))
107.0ms
(* (pow k m) a)

simplify1.9s

Counts
60 → 60

prune668.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (fma (+ k 10) k 1))
0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
32×prod-exp
17×div-exp
13×add-cbrt-cube
12×pow-exp
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×pow-to-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* times-frac pow1/3 cbrt-unprod
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 82
Calls
4 calls:
Slowest
31.0ms
(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (fma (+ k 10) k 1))
1.0ms
(cbrt k)
1.0ms
(cbrt k)
1.0ms
(cbrt k)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
450.0ms
(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (fma (+ k 10) k 1))
292.0ms
(cbrt k)
287.0ms
(cbrt k)
255.0ms
(cbrt k)

simplify816.0ms

Counts
94 → 94

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ (* (pow (cbrt k) m) a) (fma (+ k 10) k 1))
0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-cube-cbrt
4×expm1-log1p-u pow1 div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* times-frac pow1/3 prod-exp
2×cbrt-undiv
1×pow-to-exp clear-num frac-2neg pow-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
Slowest
28.0ms
(/ (* (pow (cbrt k) m) a) (fma (+ k 10) k 1))
1.0ms
(cbrt k)
1.0ms
(cbrt k)
1.0ms
(cbrt k)

series985.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
279.0ms
(cbrt k)
277.0ms
(cbrt k)
251.0ms
(cbrt k)
178.0ms
(/ (* (pow (cbrt k) m) a) (fma (+ k 10) k 1))

simplify1.7s

Counts
80 → 80

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

14.6b
(sqrt (fma (+ k 10) k 1))
14.6b
(sqrt (fma (+ k 10) k 1))
0.1b
(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
0.0b
(/ a (sqrt (fma (+ k 10) k 1)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
110×times-frac
64×sqrt-prod
61×*-un-lft-identity add-cube-cbrt
46×associate-*l*
30×add-exp-log
24×unpow-prod-down
22×associate-*r*
21×unswap-sqr
18×add-cbrt-cube
12×sqr-pow
11×div-exp
8×pow1 prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 190
Calls
4 calls:
Slowest
28.0ms
(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
9.0ms
(/ a (sqrt (fma (+ k 10) k 1)))
1.0ms
(sqrt (fma (+ k 10) k 1))
1.0ms
(sqrt (fma (+ k 10) k 1))

series372.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
169.0ms
(* (/ (pow k m) (sqrt (fma (+ k 10) k 1))) (/ a (sqrt (fma (+ k 10) k 1))))
100.0ms
(/ a (sqrt (fma (+ k 10) k 1)))
56.0ms
(sqrt (fma (+ k 10) k 1))
47.0ms
(sqrt (fma (+ k 10) k 1))

simplify913.0ms

Counts
202 → 202

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

98.6% (0.0b remaining)

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

bsearch109.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.2s11938×body80valid
629.0ms4161×body80nan