Details

Time bar (total: 13.2s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ g (* 2 a))
17.5b
(cbrt (/ g (* 2 a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/l*
2×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
1×cbrt-div clear-num associate-/r* frac-2neg pow1/3 prod-exp cbrt-unprod
Counts
2 → 43
Calls
2 calls:
15.0ms
(/ g (* 2 a))
9.0ms
(cbrt (/ g (* 2 a)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ g (* 2 a))
154.0ms
(cbrt (/ g (* 2 a)))

simplify1.9s

Counts
49 → 49
Iterations
IterNodes
done5000
31482
2445
1181
095

prune212.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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*
6×associate-*l* unswap-sqr
5×pow1 add-exp-log
4×pow1/3
3×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 83
Calls
3 calls:
20.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series651.0ms

Counts
3 → 9
Calls
3 calls:
145.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
311.0ms
(cbrt (/ 1/2 a))
195.0ms
(cbrt g)

simplify1.6s

Counts
92 → 92
Iterations
IterNodes
done5000
31565
2636
1259
0149

prune459.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
31×cbrt-prod
24×sqrt-prod
6×add-cbrt-cube add-exp-log associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow1/3
2×div-inv
1×cbrt-undiv cbrt-div clear-num frac-2neg div-exp
Counts
4 → 107
Calls
4 calls:
7.0ms
(/ (sqrt 1/2) a)
3.0ms
(cbrt (/ (sqrt 1/2) a))
1.0ms
(cbrt g)
2.0ms
(cbrt (sqrt 1/2))

series653.0ms

Counts
4 → 10
Calls
4 calls:
59.0ms
(/ (sqrt 1/2) a)
361.0ms
(cbrt (/ (sqrt 1/2) a))
232.0ms
(cbrt g)
0.0ms
(cbrt (sqrt 1/2))

simplify2.2s

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

prune549.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
13×times-frac associate-*r* add-exp-log
10×cbrt-prod
9×add-cbrt-cube sqrt-prod
6×pow1 associate-*l* unswap-sqr
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-div div-exp associate-*r/ un-div-inv cbrt-unprod
1×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
19.0ms
(* (sqrt 1/2) (/ 1 a))
15.0ms
(cbrt (* (sqrt 1/2) (/ 1 a)))
2.0ms
(cbrt g)
3.0ms
(cbrt (sqrt 1/2))

series700.0ms

Counts
4 → 10
Calls
4 calls:
54.0ms
(* (sqrt 1/2) (/ 1 a))
398.0ms
(cbrt (* (sqrt 1/2) (/ 1 a)))
248.0ms
(cbrt g)
0.0ms
(cbrt (sqrt 1/2))

simplify2.2s

Counts
100 → 100
Iterations
IterNodes
done5020
43213
31472
2684
1297
0144

prune544.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes468.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample595.0ms

Algorithm
intervals
Results
433.0ms8000×body80valid