Details

Time bar (total: 8.8s)

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
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

series25.0ms

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

simplify2.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
045197
197194
2283164
31053164
44234164
done5000164

prune42.0ms

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*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (/ 1.0 x) x)

simplify993.0ms

Counts
75 → 75
Iterations

Useful iterations: done (987.0ms)

IterNodesCost
0142874
1313825
2911769
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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series921.0ms

Counts
4 → 12
Calls
4 calls:
388.0ms
(* (cbrt x) (cbrt x))
175.0ms
(cbrt x)
183.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: 3 (329.0ms)

IterNodesCost
065554
1119443
2383423
31868405
done5000405

prune181.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ 1.0 x) (* (cbrt (* x x)) (pow (cbrt -1) 2))) (cbrt x))
0.3b
(/ (/ 1.0 x) (* (cbrt (* x x)) (pow (cbrt -1) 2)))
0.5b
(cbrt x)
21.2b
(cbrt (* x x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
287×times-frac
111×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
62×add-exp-log
58×cbrt-prod
33×div-exp
30×associate-/l*
25×add-cbrt-cube
18×div-inv
17×cbrt-undiv
12×prod-exp
associate-/r*
pow1 expm1-log1p-u pow-to-exp pow-exp cbrt-unprod log1p-expm1-u add-log-exp
frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 228
Calls
4 calls:
17.0ms
(/ (/ (/ 1.0 x) (* (cbrt (* x x)) (pow (cbrt -1) 2))) (cbrt x))
8.0ms
(/ (/ 1.0 x) (* (cbrt (* x x)) (pow (cbrt -1) 2)))
0.0ms
(cbrt x)
2.0ms
(cbrt (* x x))

series785.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (/ (/ 1.0 x) (* (cbrt (* x x)) (pow (cbrt -1) 2))) (cbrt x))
339.0ms
(/ (/ 1.0 x) (* (cbrt (* x x)) (pow (cbrt -1) 2)))
172.0ms
(cbrt x)
170.0ms
(cbrt (* x x))

simplify1.0s

Counts
240 → 240
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03775083
18754777
233224541
done50004537

prune707.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes71.0ms

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

sample272.0ms

Algorithm
intervals
Results
156.0ms10663×body80valid