Details

Time bar (total: 11.3s)

sample31.0ms

Algorithm
intervals
Results
12.0ms306×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4847
5927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
4.8b
(* x (- 1.0 (* y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
6.0ms
(- 1.0 (* y z))
20.0ms
(* x (- 1.0 (* y z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* y z))
64.0ms
(* x (- 1.0 (* y z)))

simplify2.9s

Counts
58 → 58
Iterations

Useful iterations: 3 (845.0ms)

IterNodesCost
081610
1192601
2741528
33873516
done5000516

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (- (* z y)) x))
7.5b
(* (- (* z y)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 40
Calls
2 calls:
16.0ms
(+ (* x 1.0) (* (- (* z y)) x))
16.0ms
(* (- (* z y)) x)

series130.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(+ (* x 1.0) (* (- (* z y)) x))
38.0ms
(* (- (* z y)) x)

simplify1.1s

Counts
46 → 46
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
069451
1191409
21143347
done5000347

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (- (* z y))) (cbrt (- (* z y)))) (* (cbrt (- (* z y))) x))
12.5b
(cbrt (- (* z y)))
12.5b
(cbrt (- (* z y)))
12.5b
(cbrt (- (* z y)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×pow1 add-exp-log
10×add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
74.0ms
(* (* (cbrt (- (* z y))) (cbrt (- (* z y)))) (* (cbrt (- (* z y))) x))
2.0ms
(cbrt (- (* z y)))
2.0ms
(cbrt (- (* z y)))
2.0ms
(cbrt (- (* z y)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* (cbrt (- (* z y))) (cbrt (- (* z y)))) (* (cbrt (- (* z y))) x))
138.0ms
(cbrt (- (* z y)))
131.0ms
(cbrt (- (* z y)))
126.0ms
(cbrt (- (* z y)))

simplify945.0ms

Counts
84 → 84
Iterations

Useful iterations: done (943.0ms)

IterNodesCost
0891105
12151067
2761733
done5000627

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- (* z y))) (* (cbrt (- (* z y))) x))
12.5b
(cbrt (- (* z y)))
12.5b
(cbrt (- (* z y)))
12.5b
(cbrt (- (* z y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
9×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×add-cbrt-cube
4×distribute-lft-neg-in expm1-log1p-u neg-mul-1 distribute-rgt-neg-in log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 74
Calls
4 calls:
58.0ms
(* (cbrt (- (* z y))) (* (cbrt (- (* z y))) x))
2.0ms
(cbrt (- (* z y)))
2.0ms
(cbrt (- (* z y)))
2.0ms
(cbrt (- (* z y)))

series778.0ms

Counts
4 → 12
Calls
4 calls:
374.0ms
(* (cbrt (- (* z y))) (* (cbrt (- (* z y))) x))
132.0ms
(cbrt (- (* z y)))
127.0ms
(cbrt (- (* z y)))
146.0ms
(cbrt (- (* z y)))

simplify2.1s

Counts
86 → 86
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0105957
1262937
2742844
33088809
done5001773

prune335.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

51.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.5b

bsearch77.0ms

Steps
ItersRangePoint
6
2.79132866084528e+88
4.2220807515004457e+89
2.49103903344416e+89
8
-13827171026.042707
-1739237.060454704
-6949831.680780823

simplify16.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01938
13629
24629
35229
done5229

end0.0ms

sample1.2s

Algorithm
intervals
Results
778.0ms9642×body80valid