Details

Time bar (total: 16.9s)

sample21.0ms

Algorithm
intervals
Results
8.0ms291×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (54.0ms)

IterNodesCost
067
1167
2247
3377
4447
5507
6547
7646
8666
done666

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b
(fma (/ y z) x 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:
0.0ms
(fma (/ y z) x x)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(fma (/ y z) x x)

simplify4.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
018110
126107
25695
319995
482395
5383095
done500095

prune77.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

3.2b
(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)

simplify3.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
018110
125107
25095
316195
456295
5254195
done500095

prune70.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (/ y z)) x)
6.9b
(* x (/ y z))

rewrite57.0ms

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:
27.0ms
(+ (* x (/ y z)) x)
28.0ms
(* x (/ y z))

series68.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* x (/ y z)) x)
22.0ms
(* x (/ y z))

simplify2.3s

Counts
54 → 54
Iterations

Useful iterations: done (2.3s)

IterNodesCost
093471
1228419
2660389
32106386
done5000385

prune166.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) (/ 1 z)) x)
4.4b
(* (* x y) (/ 1 z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
13×associate-*r*
12×prod-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1
cbrt-unprod
div-exp add-log-exp
pow-prod-down
cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r/ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
21.0ms
(+ (* (* x y) (/ 1 z)) x)
41.0ms
(* (* x y) (/ 1 z))

series63.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (* x y) (/ 1 z)) x)
26.0ms
(* (* x y) (/ 1 z))

simplify3.9s

Counts
60 → 60
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
0107649
1288482
2944399
33760394
done5000394

prune153.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

63.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 4.6b

bsearch49.0ms

Steps
ItersRangePoint
6
7.547811988297118e-75
3.4231546050402817e-74
3.2691934937165266e-74
9
-6.077196353407552e-36
-5.5682180640719865e-45
-8.77033482903865e-37

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01428
11922
done1922

end0.0ms

sample1.0s

Algorithm
intervals
Results
455.0ms9638×body80valid