Details

Time bar (total: 13.5s)

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ g (* 2 a))
17.4b
(cbrt (/ g (* 2 a)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/l*
expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
cbrt-div clear-num associate-/r* frac-2neg pow1/3 prod-exp cbrt-unprod
Counts
2 → 43
Calls
2 calls:
6.0ms
(/ g (* 2 a))
3.0ms
(cbrt (/ g (* 2 a)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ g (* 2 a))
118.0ms
(cbrt (/ g (* 2 a)))

simplify1.6s

Counts
49 → 49
Iterations
IterNodes
done5000
31482
2445
1181
095

prune269.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (cbrt g) (cbrt (/ 1/2 a)))
0.6b
(cbrt g)
0.6b
(cbrt (/ 1/2 a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
35×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×times-frac
16×associate-*r*
associate-*l* unswap-sqr
pow1 add-exp-log
pow1/3
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
cbrt-div pow-prod-down div-inv
prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 83
Calls
3 calls:
19.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms
(cbrt g)
3.0ms
(cbrt (/ 1/2 a))

series791.0ms

Counts
3 → 9
Calls
3 calls:
168.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
261.0ms
(cbrt g)
362.0ms
(cbrt (/ 1/2 a))

simplify1.8s

Counts
92 → 92
Iterations
IterNodes
done5000
31654
2640
1259
0149

prune432.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (cbrt 1/2) a))
0.6b
(cbrt g)
1.0b
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
1.0b
(* (cbrt 1/2) (cbrt 1/2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
34×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
18×times-frac
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 cbrt-div pow-plus prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt (/ (cbrt 1/2) a))
1.0ms
(cbrt g)
4.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
7.0ms
(* (cbrt 1/2) (cbrt 1/2))

series735.0ms

Counts
4 → 8
Calls
4 calls:
406.0ms
(cbrt (/ (cbrt 1/2) a))
329.0ms
(cbrt g)
0.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))

simplify2.1s

Counts
111 → 111
Iterations
IterNodes
done5002
43675
31355
2605
1279
0169

prune507.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (sqrt 1/2) a)
0.6b
(cbrt (/ (sqrt 1/2) a))
0.6b
(cbrt g)
1.0b
(cbrt (sqrt 1/2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
31×cbrt-prod
24×sqrt-prod
add-cbrt-cube add-exp-log associate-/l*
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
associate-/r* pow1/3
div-inv
cbrt-undiv cbrt-div clear-num frac-2neg div-exp
Counts
4 → 107
Calls
4 calls:
6.0ms
(/ (sqrt 1/2) a)
2.0ms
(cbrt (/ (sqrt 1/2) a))
1.0ms
(cbrt g)
1.0ms
(cbrt (sqrt 1/2))

series793.0ms

Counts
4 → 10
Calls
4 calls:
56.0ms
(/ (sqrt 1/2) a)
400.0ms
(cbrt (/ (sqrt 1/2) a))
337.0ms
(cbrt g)
0.0ms
(cbrt (sqrt 1/2))

simplify2.2s

Counts
117 → 117
Iterations
IterNodes
done5032
43608
31022
2455
1249
0159

prune608.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes566.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample846.0ms

Algorithm
intervals
Results
667.0ms8000×body80valid