Details

Time bar (total: 19.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms242×body80valid
1.0ms6×body640valid
0.0ms3×body2560valid
0.0ms3×body1280valid
0.0ms2×body320valid

simplify8.0ms

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))

rewrite37.0ms

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:
36.0ms
(+ x (/ (fabs (- y x)) 2.0))

series31.0ms

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

simplify4.1s

Counts
20 → 20
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
033213
189204
2226185
3515185
41428185
53947185
done5000185

prune71.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite32.0ms

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×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:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
336.0ms
(* (cbrt x) (cbrt x))
264.0ms
(cbrt x)
261.0ms
(cbrt x)
286.0ms
(cbrt x)

simplify5.4s

Counts
93 → 93
Iterations

Useful iterations: done (5.4s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune389.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.8b
(pow (cbrt (cbrt x)) 4)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
5.0ms
(pow (cbrt (cbrt x)) 4)

series1.6s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt x)
381.0ms
(cbrt (cbrt x))
430.0ms
(cbrt (cbrt x))
520.0ms
(pow (cbrt (cbrt x)) 4)

simplify3.4s

Counts
83 → 83
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
084560
1168519
2356472
3834458
43426446
done5000446

prune353.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

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:
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
89.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
77.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
88.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
60.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.0s

Counts
115 → 115
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01642756
13782543
210082384
328502129
done50002078

prune456.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes2.0ms