Details

Time bar (total: 10.9s)

sample32.0ms

Algorithm
intervals
Results
11.0ms301×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 7 (51.0ms)

IterNodesCost
067
1167
2247
3377
4467
5527
6567
71246
82916
96966
1017936
1144156
done50006

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

5.6b
(fma (/ x z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 (/ x z) y x)

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(fma (/ x z) y x)

simplify1.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
018110
125107
26195
320995
489795
done500195

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
6.5b
(/ (* x y) z)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac
add-log-exp
associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 44
Calls
2 calls:
36.0ms
(+ (/ (* x y) z) x)
18.0ms
(/ (* x y) z)

series68.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (/ (* x y) z) x)
24.0ms
(/ (* x y) z)

simplify938.0ms

Counts
50 → 50
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
071387
1189364
2944332
done5000313

prune252.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
6.4b
(/ x (/ z y))

rewrite469.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
81×*-un-lft-identity
79×add-sqr-sqrt add-cube-cbrt
44×fma-def
13×associate-/r*
div-inv
add-exp-log add-cbrt-cube
add-log-exp
cbrt-undiv div-exp associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u
+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 130
Calls
2 calls:
453.0ms
(+ (/ x (/ z y)) x)
10.0ms
(/ x (/ z y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (/ x (/ z y)) x)
25.0ms
(/ x (/ z y))

simplify1.3s

Counts
136 → 136
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01741081
14461012
22046943
done5002938

prune705.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (/ y z)) x)
6.1b
(* x (/ y z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
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:
20.0ms
(+ (* x (/ y z)) x)
35.0ms
(* x (/ y z))

series84.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* x (/ y z)) x)
37.0ms
(* x (/ y z))

simplify962.0ms

Counts
54 → 54
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
093471
1252427
21060392
done5001387

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

42% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.9b

bsearch94.0ms

Steps
ItersRangePoint
8
4.7121338597073946e+17
2.0110076054247779e+21
1.508501975980007e+18
9
-1.549374512173938e+76
-1.830343103796026e+71
-7.875385310071024e+73

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01829
12329
done2329

end0.0ms

sample1.0s

Algorithm
intervals
Results
512.0ms9524×body80valid