Details

Time bar (total: 8.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms346×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ 1.0 (* x x))

simplify2.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
043185
196182
2299152
31136152
43394152
done5000152

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (/ 1.0 x) x)

simplify599.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0140862
1317813
21200757
done5000757

prune120.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series769.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt x) (cbrt x))
185.0ms
(cbrt x)
188.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: 3 (292.0ms)

IterNodesCost
061524
1118465
2446397
31994379
done5000379

prune172.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.3b
(/ (/ 1.0 x) (cbrt (* x x)))
0.5b
(cbrt x)
21.2b
(cbrt (* x x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
462×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
280×cbrt-prod
69×associate-/l*
42×div-inv
18×add-exp-log
11×add-cbrt-cube
10×associate-/r*
9×cbrt-undiv div-exp
4×pow1 add-log-exp
2×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 519
Calls
4 calls:
23.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
6.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
0.0ms
(cbrt x)
2.0ms
(cbrt (* x x))

series827.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
223.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
180.0ms
(cbrt x)
385.0ms
(cbrt (* x x))

simplify535.0ms

Counts
531 → 531
Iterations

Useful iterations: done (515.0ms)

IterNodesCost
080812103
1180811564
done500011072

prune1.4s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample263.0ms

Algorithm
intervals
Results
151.0ms10663×body80valid