Details

Time bar (total: 17.5s)

sample25.0ms

Algorithm
intervals
Results
11.0ms250×body80valid
1.0msbody2560valid
0.0msbody1280valid
0.0msbody640valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
15.0ms
(+ x (/ (fabs (- y x)) 2.0))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify4.2s

Counts
20 → 20
Iterations
IterNodes
done5000
54285
41480
3560
2232
189
033

prune140.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
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:
20.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (cbrt x) (cbrt x))
269.0ms
(cbrt x)
274.0ms
(cbrt x)
288.0ms
(cbrt x)

simplify3.8s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune472.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt x)
216.0ms
(cbrt x)
289.0ms
(cbrt x)
442.0ms
(cbrt (cbrt x))

simplify2.3s

Counts
67 → 67
Iterations
IterNodes
done5001
53554
4925
3358
2174
181
046

prune464.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
104.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
87.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
64.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
65.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.8s

Counts
115 → 115
Iterations
IterNodes
done5000
32792
21054
1402
0164

prune583.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample540.0ms

Algorithm
intervals
Results
317.0ms7697×body80valid
18.0ms127×body1280valid
9.0ms76×body640valid
7.0ms41×body2560valid
3.0ms39×body320valid
1.0ms21×body160valid