Details

Time bar (total: 18.9s)

sample19.0ms

Algorithm
intervals
Results
6.0ms235×body80valid
1.0ms8×body1280valid
0.0ms3×body2560valid
0.0ms5×body640valid
0.0ms3×body320valid
0.0ms2×body160valid

simplify5.1s

Counts
1 → 1
Iterations
IterNodes
done5000
94327
81259
7477
6204
593
440
329
219
112
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative associate-+r- sum-log flip3-+ add-cbrt-cube div-sub add-exp-log flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
27.0ms
(+ x (/ (- x y) 2.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(+ x (/ (- x y) 2.0))

simplify2.1s

Counts
21 → 21
Iterations
IterNodes
done5000
44313
3869
2269
198
036

prune110.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(* (cbrt x) (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
629.0ms
(cbrt x)
284.0ms
(cbrt x)
283.0ms
(cbrt x)
261.0ms
(* (cbrt x) (cbrt x))

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5000
2711
1142
065

prune537.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
358.0ms
(cbrt (cbrt x))
388.0ms
(cbrt (cbrt x))
353.0ms
(cbrt (cbrt x))

simplify1.5s

Counts
73 → 73
Iterations
IterNodes
done5000
42403
3656
2193
181
046

prune511.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt (* (cbrt x) (cbrt x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))

series1.6s

Counts
4 → 12
Calls
4 calls:
355.0ms
(cbrt (cbrt x))
386.0ms
(cbrt (cbrt x))
447.0ms
(cbrt (* (cbrt x) (cbrt x)))
413.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))

simplify1.6s

Counts
69 → 69
Iterations
IterNodes
done5001
43560
3969
2308
1127
072

prune515.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample604.0ms

Algorithm
intervals
Results
285.0ms7373×body80valid
28.0ms230×body1280valid
16.0ms162×body640valid
14.0ms94×body2560valid
7.0ms88×body320valid
3.0ms54×body160valid