Details

Time bar (total: 16.8s)

sample26.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
29
19
06

prune9.0ms

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
pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 div-inv add-log-exp
Counts
1 → 17
Calls
1 calls:
7.0ms
(cbrt (/ g (* 2 a)))

series152.0ms

Counts
1 → 3
Calls
1 calls:
152.0ms
(cbrt (/ g (* 2 a)))

simplify5.3s

Counts
20 → 20
Iterations
IterNodes
64307
51812
4665
3257
2137
194
063

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

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)

rewrite15.0ms

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
add-cbrt-cube insert-posit16 add-log-exp
cbrt-div pow-prod-down div-inv
prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 77
Calls
3 calls:
9.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
4.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series779.0ms

Counts
3 → 9
Calls
3 calls:
176.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
298.0ms
(cbrt (/ 1/2 a))
305.0ms
(cbrt g)

simplify1.7s

Counts
86 → 86
Iterations
IterNodes
43998
31310
2524
1252
0143

prune907.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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))

rewrite31.0ms

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
add-cbrt-cube insert-posit16 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 → 95
Calls
4 calls:
1.0ms
(cbrt g)
7.0ms
(cbrt (/ (cbrt 1/2) a))
7.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
15.0ms
(* (cbrt 1/2) (cbrt 1/2))

series589.0ms

Counts
4 → 8
Calls
4 calls:
236.0ms
(cbrt g)
353.0ms
(cbrt (/ (cbrt 1/2) a))
0.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))

simplify1.8s

Counts
103 → 103
Iterations
IterNodes
42687
31185
2595
1273
0161

prune1.2s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt 1/2) (cbrt 1/2))
1.0b
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
1.0b
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
1.6b
(cbrt (cbrt (* (cbrt 1/2) (cbrt 1/2))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
21×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
8.0ms
(* (cbrt 1/2) (cbrt 1/2))
4.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
4.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
2.0ms
(cbrt (cbrt (* (cbrt 1/2) (cbrt 1/2))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
0.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
0.0ms
(cbrt (cbrt (* (cbrt 1/2) (cbrt 1/2))))

simplify1.8s

Counts
78 → 78
Iterations
IterNodes
53531
4974
3413
2229
1116
068

prune1.1s

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 0.0b

regimes519.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample747.0ms

Algorithm
intervals
Results
553.0ms8000×body80valid