Details

Time bar (total: 21.8s)

sample188.0ms

Algorithm
intervals
Results
113.0ms881×body80nan
35.0ms289×body80valid

simplify2.2s

Counts
1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
85×*-un-lft-identity
83×add-cube-cbrt
78×prod-diff
67×times-frac
41×distribute-rgt-in distribute-lft-in
9×pow1
8×add-cbrt-cube add-exp-log
7×div-inv
6×associate-*r* associate-*r/
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l*
2×sub-neg sqrt-pow1 pow-prod-down associate-/r/ difference-of-squares
1×cbrt-undiv clear-num frac-2neg pow1/2 div-exp prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 171
Calls
4 calls:
Slowest
22.0ms
(* 9 (- a (/ 1.0 3.0)))
17.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
14.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series349.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
91.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
86.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
51.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify1.0s

Counts
183 → 183

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
0.2b
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.1b
(fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.0b
(sqrt (- a (/ 1.0 3.0)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
64×times-frac
56×*-un-lft-identity
49×sqrt-prod
40×add-cube-cbrt
33×associate-*r*
16×difference-of-squares
11×add-cbrt-cube add-exp-log
9×associate-/r*
8×distribute-lft-out--
7×pow1
6×sqrt-div
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l* unswap-sqr
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative fma-udef
Counts
4 → 144
Calls
4 calls:
Slowest
37.0ms
(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
18.0ms
(sqrt (- a (/ 1.0 3.0)))
14.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.0ms
(fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
163.0ms
(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
147.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
123.0ms
(fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
67.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify869.0ms

Counts
156 → 156

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))))
0.2b
(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
0.2b
(/ 1 (sqrt (- a (/ 1.0 3.0))))
0.1b
(fma (* 1/3 (* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
65×times-frac
56×*-un-lft-identity
44×sqrt-prod
40×add-cube-cbrt
34×associate-*r*
32×add-exp-log
20×add-cbrt-cube
14×difference-of-squares
13×pow1 prod-exp
9×associate-/r*
7×cbrt-unprod distribute-lft-out--
6×div-exp associate-*l*
5×unswap-sqr
4×expm1-log1p-u sqrt-div pow-prod-down associate-*r/ associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp pow-flip associate-/l*
2×flip3-- un-div-inv *-commutative div-inv flip--
1×clear-num frac-2neg sqrt-pow1 pow1/2 fma-udef inv-pow
Counts
4 → 161
Calls
4 calls:
Slowest
49.0ms
(* 1/3 (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))))
42.0ms
(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
11.0ms
(/ 1 (sqrt (- a (/ 1.0 3.0))))
0.0ms
(fma (* 1/3 (* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
178.0ms
(* 1/3 (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))))
107.0ms
(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
103.0ms
(fma (* 1/3 (* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
96.0ms
(/ 1 (sqrt (- a (/ 1.0 3.0))))

simplify802.0ms

Counts
173 → 173

prune1.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.5b
(cbrt (fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1
6×sqrt-pow1 sqrt-div associate-*r/
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod flip3-- pow1/2 pow-prod-down sqrt-prod flip--
1×pow1/3
Counts
4 → 62
Calls
4 calls:
Slowest
29.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
27.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
14.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
1.0ms
(cbrt (fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))

series583.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
293.0ms
(cbrt (fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
103.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
96.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
91.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify892.0ms

Counts
74 → 74

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
4.0s27281×body80nan
1.3s9161×body80valid