Details

Time bar (total: 21.2s)

sample216.0ms

Algorithm
intervals
Results
130.0ms859×body80nan
41.0ms290×body80valid

simplify721.0ms

Counts
1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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
29.0ms
(* 9 (- a (/ 1.0 3.0)))
21.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
20.0ms
(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)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
96.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
93.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
71.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify548.0ms

Counts
280 → 183

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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)))

rewrite74.0ms

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
29.0ms
(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
25.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
17.0ms
(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)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
160.0ms
(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
118.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
96.0ms
(fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
54.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify356.0ms

Counts
192 → 156

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))))
0.3b
(/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.2b
(/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.1b
(sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
106×times-frac
86×sqrt-prod
71×*-un-lft-identity
65×add-cube-cbrt
32×add-exp-log
27×associate-*r* associate-*l*
20×add-cbrt-cube sqrt-div
15×pow1 unswap-sqr
14×associate-/r*
12×sqrt-pow1
11×div-exp associate-*r/
8×prod-exp associate-/r/
6×cbrt-undiv pow-flip associate-/l*
5×flip3-- flip--
4×expm1-log1p-u pow1/2 cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-prod-down
2×clear-num frac-2neg
1×frac-times rem-sqrt-square associate-*l/ *-commutative inv-pow
Counts
4 → 223
Calls
4 calls:
Slowest
127.0ms
(* (/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))))
35.0ms
(/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
14.0ms
(/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
8.0ms
(sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
350.0ms
(/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
307.0ms
(* (/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ rand (sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))))
267.0ms
(/ 1 (sqrt (sqrt (* 9 (- a (/ 1.0 3.0))))))
177.0ms
(sqrt (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify1.1s

Counts
297 → 235

prune3.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
0.6b
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
0.6b
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
0.5b
(* (cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))) (cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
15.0ms
(* (cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))) (cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))))
1.0ms
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
1.0ms
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
1.0ms
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
398.0ms
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
331.0ms
(* (cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))) (cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))))
290.0ms
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))
288.0ms
(cbrt (fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))))

simplify511.0ms

Counts
111 → 97

prune884.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.7s27167×body80nan
1.5s9124×body80valid