Details

Time bar (total: 17.5s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
29
19
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize17.0ms

Local error

Found 1 expressions with local error:

18.7b
(cbrt (/ g (* 2 a)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 19
Calls
1 calls:
6.0ms
(cbrt (/ g (* 2 a)))

series143.0ms

Counts
1 → 3
Calls
1 calls:
143.0ms
(cbrt (/ g (* 2 a)))

simplify4.5s

Counts
22 → 22
Iterations
IterNodes
64388
51878
4659
3265
2137
196
065

prune184.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1/2 a)))
0.5b
(cbrt (/ 1/2 a))
0.6b
(cbrt g)

rewrite13.0ms

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:
9.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series701.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
302.0ms
(cbrt (/ 1/2 a))
266.0ms
(cbrt g)

simplify1.8s

Counts
92 → 92
Iterations
IterNodes
44137
31311
2521
1258
0149

prune870.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1/2 a)))
0.5b
(cbrt (/ 1/2 a))
0.6b
(cbrt g)

rewrite14.0ms

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:
10.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series766.0ms

Counts
3 → 9
Calls
3 calls:
182.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
320.0ms
(cbrt (/ 1/2 a))
263.0ms
(cbrt g)

simplify1.8s

Counts
92 → 92
Iterations
IterNodes
44137
31311
2521
1258
0149

prune969.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.6b
(cbrt (/ (cbrt 1/2) a))
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 g)
2.0ms
(cbrt (/ (cbrt 1/2) a))
4.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
8.0ms
(* (cbrt 1/2) (cbrt 1/2))

series763.0ms

Counts
4 → 8
Calls
4 calls:
366.0ms
(cbrt g)
397.0ms
(cbrt (/ (cbrt 1/2) a))
0.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))

simplify2.0s

Counts
111 → 111
Iterations
IterNodes
42685
31187
2593
1281
0169

prune1.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid