Details

Time bar (total: 12.2s)

sample35.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize15.0ms

Local error

Found 1 expressions with local error:

13.7b
(cbrt (/ g (* 2 a)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
1×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)))

series146.0ms

Counts
1 → 3
Calls
1 calls:
146.0ms
(cbrt (/ g (* 2 a)))

simplify838.0ms

Counts
22 → 22
Iterations
IterNodes
done2000
52000
4698
3294
2148
197
065

prune248.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2 a)))
0.5b
(cbrt (* 2 a))
0.6b
(cbrt g)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×expm1-log1p-u pow1 add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 75
Calls
3 calls:
11.0ms
(/ (cbrt g) (cbrt (* 2 a)))
5.0ms
(cbrt (* 2 a))
2.0ms
(cbrt g)

series812.0ms

Counts
3 → 9
Calls
3 calls:
191.0ms
(/ (cbrt g) (cbrt (* 2 a)))
308.0ms
(cbrt (* 2 a))
312.0ms
(cbrt g)

simplify1.1s

Counts
84 → 84
Iterations
IterNodes
done2019
42019
31190
2457
1218
0132

prune787.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (cbrt (* 2 a)))
0.4b
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
0.5b
(cbrt (* 2 a))
0.6b
(cbrt g)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×cbrt-prod add-exp-log
16×associate-*r*
7×pow1 add-cbrt-cube
6×associate-*l* unswap-sqr
4×expm1-log1p-u associate-/r* div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv pow-flip
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative inv-pow
Counts
4 → 113
Calls
4 calls:
6.0ms
(/ 1 (cbrt (* 2 a)))
15.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
3.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series1.2s

Counts
4 → 12
Calls
4 calls:
363.0ms
(/ 1 (cbrt (* 2 a)))
181.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
307.0ms
(cbrt (* 2 a))
342.0ms
(cbrt g)

simplify1.1s

Counts
125 → 125
Iterations
IterNodes
done2002
32002
2944
1347
0166

prune1.1s

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

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

series711.0ms

Counts
3 → 9
Calls
3 calls:
157.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
290.0ms
(cbrt (/ 1/2 a))
263.0ms
(cbrt g)

simplify1.4s

Counts
92 → 92
Iterations
IterNodes
done2004
42004
31565
2636
1259
0149

prune765.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes532.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid