Details

Time bar (total: 13.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms291×body80valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2227
3337
4367
5427
6467
7547
8557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.3b
(/ (* x (+ y z)) z)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
34.0ms
(* x (+ y z))
24.0ms
(/ (* x (+ y z)) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ y z))
51.0ms
(/ (* x (+ y z)) z)

simplify2.4s

Counts
52 → 52
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
085458
1226434
2786376
33636376
done5000376

prune105.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv div-exp
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
17.0ms
(+ (/ (* x y) z) x)
10.0ms
(/ (* x y) z)

series72.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (/ (* x y) z) x)
27.0ms
(/ (* x y) z)

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 3 (731.0ms)

IterNodesCost
067359
1168337
2549305
32434301
done5000301

prune80.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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 rec-exp 1-exp
+-commutative flip3-+ associate-*r/ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
22.0ms
(+ (* (* x y) (/ 1 z)) x)
24.0ms
(* (* x y) (/ 1 z))

series60.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* (* x y) (/ 1 z)) x)
29.0ms
(* (* x y) (/ 1 z))

simplify3.0s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0103613
1279455
2905387
33510381
done5000381

prune111.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.7b
(/ x (/ z (+ y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
20.0ms
(/ z (+ y z))
20.0ms
(/ x (/ z (+ y z)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ z (+ y z))
71.0ms
(/ x (/ z (+ y z)))

simplify2.6s

Counts
129 → 129
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01871758
14001632
213371564
342771558
done50001558

prune321.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

63.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 4.9b

bsearch43.0ms

Steps
ItersRangePoint
4
2.1247868065601992e-23
3.219064609783079e-23
3.067520645080044e-23
8
-3.959245657805123e-67
-8.002345249056943e-72
-2.50617395524247e-68

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01731
12725
done2725

end0.0ms

sample1.3s

Algorithm
intervals
Results
829.0ms9638×body80valid