Details

Time bar (total: 23.9s)

sample109.0ms

Algorithm
intervals
Results
24.0ms27×body1280valid
20.0ms35×body640valid
19.0ms195×body80valid
7.0ms101×body80nan
6.0ms17×body320valid
2.0ms12×body160valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
01013
11813
22711
35211
411011
524911
659011
7185511
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
9.3b
(log (/ y (+ z y)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
54×log-prod
48×times-frac
42×add-sqr-sqrt
40×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
8×pow1 associate-/r/ add-cbrt-cube
6×add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
3×fma-def associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 140
Calls
4 calls:
135.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
15.0ms
(/ y (+ z y))
21.0ms
(* y (log (/ y (+ z y))))
8.0ms
(log (/ y (+ z y)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
68.0ms
(/ y (+ z y))
82.0ms
(* y (log (/ y (+ z y))))
58.0ms
(log (/ y (+ z y)))

simplify1.8s

Counts
152 → 152
Iterations

Useful iterations: 3 (909.0ms)

IterNodesCost
02071965
13961858
29151711
324001662
done50011662

prune492.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.3b
(log (/ (cbrt y) (cbrt (+ z y))))
4.3b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
6×pow1
4×expm1-log1p-u cbrt-div rem-log-exp associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
15.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
10.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series821.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt y)
291.0ms
(cbrt y)
111.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
135.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.2s

Counts
160 → 160
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01772306
13202146
25782060
311281986
424931982
done50021976

prune863.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
9.3b
(log (/ y (+ z y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×log-prod
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×rem-log-exp associate-/r/
1×log-div flip3-+ div-exp log-pow flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(log (/ y (+ z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt x)
329.0ms
(cbrt x)
317.0ms
(cbrt x)
73.0ms
(log (/ y (+ z y)))

simplify3.7s

Counts
82 → 82
Iterations

Useful iterations: 5 (1.7s)

IterNodesCost
0109590
1202555
2375520
3706498
41445497
53452496
done5000496

prune409.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
6.4b
(pow (/ y (+ z y)) y)
6.4b
(pow (/ y (+ z y)) y)
6.4b
(pow (/ y (+ z y)) y)

rewrite758.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
54×unpow-prod-down
47×add-sqr-sqrt
39×add-cube-cbrt
36×times-frac
24×cbrt-prod
15×add-exp-log distribute-lft-out
14×pow1
12×cbrt-div
9×pow-unpow flip3-+ swap-sqr flip-+
7×associate-*r* associate-*l*
6×pow1/3 pow-exp associate-/r/
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-to-exp pow-pow div-exp div-inv sqr-pow
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 160
Calls
4 calls:
705.0ms
(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
19.0ms
(pow (/ y (+ z y)) y)
14.0ms
(pow (/ y (+ z y)) y)
14.0ms
(pow (/ y (+ z y)) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
422.0ms
(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
339.0ms
(pow (/ y (+ z y)) y)
262.0ms
(pow (/ y (+ z y)) y)
312.0ms
(pow (/ y (+ z y)) y)

simplify3.0s

Counts
172 → 172
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02163568
15023253
212823062
338872782
done50002779

prune868.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes256.0ms

Accuracy

-85.4% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.1b

bsearch133.0ms

Steps
ItersRangePoint
9
4.677893477719556e+118
2.9580431597534113e+125
4.7668968669307006e+118
8
4.861077116233833e+20
3.339550470087394e+24
2.7983300664584073e+24

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02567
13442
done3442

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.0s799×body1280valid
732.0ms6551×body80valid
489.0ms898×body640valid
338.0ms3160×body80nan
180.0ms598×body320valid
101.0ms308×body160valid