Details

Time bar (total: 17.1s)

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
29
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize22.0ms

Local error

Found 1 expressions with local error:

14.1b
(cbrt (/ g (* 2 a)))

rewrite8.0ms

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:
7.0ms
(cbrt (/ g (* 2 a)))

series163.0ms

Counts
1 → 3
Calls
1 calls:
163.0ms
(cbrt (/ g (* 2 a)))

simplify4.5s

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

prune205.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

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:
7.0ms
(/ (cbrt g) (cbrt (* 2 a)))
1.0ms
(cbrt g)
3.0ms
(cbrt (* 2 a))

series766.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(/ (cbrt g) (cbrt (* 2 a)))
311.0ms
(cbrt g)
293.0ms
(cbrt (* 2 a))

simplify2.0s

Counts
84 → 84
Iterations
IterNodes
44041
31160
2457
1217
0132

prune725.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (cbrt g) (cbrt (/ 1/2 a)))
0.5b
(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)

series784.0ms

Counts
3 → 9
Calls
3 calls:
172.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
343.0ms
(cbrt (/ 1/2 a))
269.0ms
(cbrt g)

simplify2.1s

Counts
92 → 92
Iterations
IterNodes
44137
31311
2521
1258
0149

prune888.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (sqrt 1/2) a)
0.6b
(cbrt g)
0.6b
(cbrt (/ (sqrt 1/2) a))
1.0b
(cbrt (sqrt 1/2))

rewrite20.0ms

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:
10.0ms
(/ (sqrt 1/2) a)
1.0ms
(cbrt g)
4.0ms
(cbrt (/ (sqrt 1/2) a))
2.0ms
(cbrt (sqrt 1/2))

series786.0ms

Counts
4 → 10
Calls
4 calls:
85.0ms
(/ (sqrt 1/2) a)
305.0ms
(cbrt g)
395.0ms
(cbrt (/ (sqrt 1/2) a))
0.0ms
(cbrt (sqrt 1/2))

simplify1.2s

Counts
117 → 117
Iterations
IterNodes
42354
3961
2468
1245
0159

prune1.3s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0b

regimes474.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
215
115
012

end0.0ms

sample996.0ms

Algorithm
intervals
Results
805.0ms8000×body80valid