Details

Time bar (total: 17.1s)

sample33.0ms

Algorithm
intervals
Results
13.0ms313×body80valid

simplify115.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (83.0ms)

IterNodesCost
067
1167
2247
3377
4447
5507
6547
7646
8666
done666

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

3.4b
(fma (/ y z) x x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y z) x x)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma (/ y z) x x)

simplify5.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
018110
126107
25695
319995
482395
5383095
done500095

prune69.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (/ y z)) x)
7.7b
(* x (/ y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
11.0ms
(+ (* x (/ y z)) x)
19.0ms
(* x (/ y z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x (/ y z)) x)
35.0ms
(* x (/ y z))

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: done (2.4s)

IterNodesCost
093471
1228419
2660389
32106386
done5000385

prune149.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.3b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
14.0b
(cbrt (/ y z))
14.0b
(cbrt (/ y z))
14.0b
(cbrt (/ y z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 96
Calls
4 calls:
37.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
3.0ms
(cbrt (/ y z))
4.0ms
(cbrt (/ y z))
5.0ms
(cbrt (/ y z))

series420.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
82.0ms
(cbrt (/ y z))
89.0ms
(cbrt (/ y z))
91.0ms
(cbrt (/ y z))

simplify3.5s

Counts
108 → 108
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01311112
12431065
2540978
31269953
42971847
done5000808

prune334.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
6.3b
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt y)
1.0ms
(cbrt y)
82.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

series795.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt y)
240.0ms
(cbrt y)
250.0ms
(cbrt y)
63.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify2.1s

Counts
100 → 100
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01241039
1342983
21584699
done5000593

prune262.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

40.6% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.5b

bsearch57.0ms

Steps
ItersRangePoint
6
7.626931455447012e-185
3.212064254417963e-184
2.717641103527439e-184
9
-4.6686928686642085e-12
-7.157313528849525e-18
-8.075781138440942e-16

simplify11.0ms

Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
01731
12725
done2725

end0.0ms

sample1.3s

Algorithm
intervals
Results
378.0ms9623×body80valid