Details

Time bar (total: 10.8s)

sample29.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize22.0ms

Local error

Found 1 expressions with local error:

16.9b
(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:
7.0ms
(cbrt (/ g (* 2 a)))

series136.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(cbrt (/ g (* 2 a)))

simplify955.0ms

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

prune177.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

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)

rewrite23.0ms

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:
18.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms
(cbrt (/ 1/2 a))
2.0ms
(cbrt g)

series708.0ms

Counts
3 → 9
Calls
3 calls:
155.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
261.0ms
(cbrt (/ 1/2 a))
291.0ms
(cbrt g)

simplify1.4s

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

prune472.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:
9.0ms
(/ (cbrt g) (cbrt (* 2 a)))
4.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series685.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(/ (cbrt g) (cbrt (* 2 a)))
259.0ms
(cbrt (* 2 a))
291.0ms
(cbrt g)

simplify1.4s

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

prune454.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
32×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
22×associate-*r*
18×times-frac
11×pow1 add-exp-log
7×pow1/3 associate-*l* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-div *-commutative div-inv
1×associate-*r/
Counts
4 → 106
Calls
4 calls:
24.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))
8.0ms
(* (cbrt g) (cbrt 1/2))
2.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))
368.0ms
(* (cbrt g) (cbrt 1/2))
320.0ms
(cbrt (/ 1 a))
292.0ms
(cbrt g)

simplify1.1s

Counts
118 → 118
Iterations
IterNodes
done2002
32002
2832
1357
0175

prune586.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0b

regimes562.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample836.0ms

Algorithm
intervals
Results
641.0ms8000×body80valid