Details

Time bar (total: 9.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms306×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1167
2217
3327
4357
5417
6457
7537
8557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.4b
(/ (* x (+ y z)) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×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:
9.0ms
(* x (+ y z))
5.0ms
(/ (* x (+ y z)) z)

series65.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (+ y z))
38.0ms
(/ (* x (+ y z)) z)

simplify1.7s

Counts
52 → 52
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
085458
1225434
2723376
33130376
done5000376

prune108.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.8b
(/ x (/ z (+ y z)))

rewrite21.0ms

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/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
6.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ z (+ y z))
48.0ms
(/ x (/ z (+ y z)))

simplify1.7s

Counts
129 → 129
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01871758
14141632
213401564
done50001558

prune276.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.9b
(* x (/ (+ y z) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
8.0ms
(/ (+ y z) z)
14.0ms
(* x (/ (+ y z) z))

series61.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (+ y z) z)
42.0ms
(* x (/ (+ y z) z))

simplify2.3s

Counts
74 → 74
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
097719
1233681
2617619
31919619
done5000619

prune143.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

3.9b
(* x (+ (/ y z) 1))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
31.0ms
(* x (+ (/ y z) 1))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* x (+ (/ y z) 1))

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
048250
1136237
2357209
31089209
43580209
done5000209

prune54.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

49.3% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.2b

bsearch58.0ms

Steps
ItersRangePoint
6
0.0591185632533196
0.44834868164545755
0.09682424582880349
8
-0.010574327910438748
-8.78551315505774e-06
-0.0008530053330769346

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02031
12829
done2829

end0.0ms

sample411.0ms

Algorithm
intervals
Results
209.0ms9518×body80valid