Details

Time bar (total: 10.3s)

sample32.0ms

Algorithm
intervals
Results
12.0ms244×body80valid
1.0ms5×body1280valid
1.0ms4×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
23.0ms
(+ x (/ (fabs (- y x)) 2.0))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.9s

Counts
20 → 20
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
033213
189204
2232185
3630185
41852185
done5001185

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite153.0ms

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
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
113.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
16.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
103.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
84.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
83.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify913.0ms

Counts
115 → 115
Iterations

Useful iterations: done (906.0ms)

IterNodesCost
01642756
14052543
215432411
done50012185

prune589.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
34×sqrt-prod
21×pow1
16×sqrt-div
15×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times hypot-def log1p-expm1-u unswap-sqr
3×fma-def pow-prod-down pow-sqr
2×rem-sqrt-square times-frac associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 121
Calls
4 calls:
11.0ms
(+ x (/ (fabs (- y x)) 2.0))
20.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
96.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (/ (fabs (- y x)) 2.0))
75.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
63.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
34.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.1s

Counts
133 → 133
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01352667
13161920
213531765
done50001724

prune463.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
58×*-un-lft-identity
56×add-sqr-sqrt
28×cbrt-div sqrt-prod
26×add-cube-cbrt
23×swap-sqr
18×pow1
17×associate-*r* associate-*l*
14×flip3-+ pow1/3 flip-+ distribute-lft-out
13×unswap-sqr
12×sqrt-div
8×add-exp-log frac-times
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 158
Calls
4 calls:
108.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
139.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
74.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
78.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
104.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.2s

Counts
170 → 170
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02254704
15124271
225014069
done50003661

prune747.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample624.0ms

Algorithm
intervals
Results
310.0ms7659×body80valid
35.0ms99×body640valid
20.0ms134×body1280valid
7.0ms42×body2560valid
5.0ms50×body320valid
1.0ms17×body160valid