Details

Time bar (total: 24.2s)

sample171.0ms

Algorithm
intervals
Results
102.0ms727×body80nan
35.0ms285×body80valid

simplify2.0s

Counts
1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(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)))
0.1b
(- a (/ 1.0 3.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
50×*-un-lft-identity
48×add-cube-cbrt
40×times-frac
39×prod-diff
7×pow1
6×add-cbrt-cube add-exp-log add-log-exp
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div associate-*r/ insert-posit16 log1p-expm1-u div-inv
3×flip3-- fma-neg flip-- associate-/l*
2×sqrt-pow1 associate-/r/ difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg pow1/2 diff-log div-exp pow-prod-down fma-udef distribute-lft-out--
Counts
4 → 123
Calls
4 calls:
Slowest
17.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
14.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
7.0ms
(- 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)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
98.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
77.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
41.0ms
(- a (/ 1.0 3.0))

simplify809.0ms

Counts
135 → 135

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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)))
0.1b
(- a (/ 1.0 3.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
122×add-sqr-sqrt
91×times-frac
90×*-un-lft-identity
74×add-cube-cbrt
43×sqrt-prod
39×prod-diff
33×associate-*r*
16×difference-of-squares
11×add-cbrt-cube add-exp-log
9×associate-/r*
8×distribute-lft-out--
6×pow1 add-log-exp
5×div-inv
4×expm1-log1p-u sqrt-div associate-/r/ insert-posit16 log1p-expm1-u
3×flip3-- fma-neg associate-*l* flip-- associate-/l* unswap-sqr
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*r/ *-commutative fma-udef
Counts
4 → 183
Calls
4 calls:
Slowest
30.0ms
(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
12.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
7.0ms
(- 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)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
128.0ms
(* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0)))))
122.0ms
(fma (* 1/3 (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
33.0ms
(- a (/ 1.0 3.0))

simplify1.0s

Counts
195 → 195

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand))
0.3b
(* 1/3 (/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand)))
0.2b
(/ (sqrt (- a (/ 1.0 3.0))) rand)
0.1b
(fma (* 1/3 (/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
437×times-frac
345×add-sqr-sqrt
252×*-un-lft-identity
199×add-cube-cbrt
152×sqrt-prod
98×associate-*r*
50×difference-of-squares
36×add-exp-log
34×associate-/r*
25×distribute-lft-out--
20×add-cbrt-cube
15×div-exp
12×associate-/l*
10×div-inv
7×pow1 cbrt-undiv prod-exp unswap-sqr
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×clear-num frac-2neg sqrt-div associate-/r/ associate-/l/
1×flip3-- pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip flip-- inv-pow
Counts
4 → 350
Calls
4 calls:
Slowest
45.0ms
(* 1/3 (/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand)))
26.0ms
(/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand))
14.0ms
(/ (sqrt (- a (/ 1.0 3.0))) rand)
0.0ms
(fma (* 1/3 (/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series624.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
200.0ms
(/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand))
184.0ms
(* 1/3 (/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand)))
140.0ms
(/ (sqrt (- a (/ 1.0 3.0))) rand)
100.0ms
(fma (* 1/3 (/ 1 (/ (sqrt (- a (/ 1.0 3.0))) rand))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

simplify840.0ms

Counts
362 → 362

prune4.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1/3 (sqrt (- a (/ 1.0 3.0))))
0.2b
(* (/ 1/3 (sqrt (- a (/ 1.0 3.0)))) rand)
0.1b
(fma (* (/ 1/3 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.1b
(- a (/ 1.0 3.0))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
122×add-sqr-sqrt
91×times-frac
90×*-un-lft-identity
74×add-cube-cbrt
43×sqrt-prod
39×prod-diff
33×associate-*l*
16×difference-of-squares
11×add-cbrt-cube add-exp-log
9×associate-/r*
8×distribute-lft-out--
6×pow1 add-log-exp
5×div-inv
4×expm1-log1p-u sqrt-div associate-/r/ insert-posit16 log1p-expm1-u
3×flip3-- fma-neg associate-*r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 183
Calls
4 calls:
Slowest
26.0ms
(* (/ 1/3 (sqrt (- a (/ 1.0 3.0)))) rand)
19.0ms
(/ 1/3 (sqrt (- a (/ 1.0 3.0))))
11.0ms
(- a (/ 1.0 3.0))
0.0ms
(fma (* (/ 1/3 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series460.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
203.0ms
(* (/ 1/3 (sqrt (- a (/ 1.0 3.0)))) rand)
130.0ms
(/ 1/3 (sqrt (- a (/ 1.0 3.0))))
102.0ms
(fma (* (/ 1/3 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
24.0ms
(- a (/ 1.0 3.0))

simplify929.0ms

Counts
195 → 195

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch5.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.5s27577×body80nan
2.0s9082×body80valid