Details

Time bar (total: 7.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms292×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1167
2227
3337
4367
5427
6467
7547
82557
915487
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.5b
(/ (* 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))
6.0ms
(/ (* x (+ y z)) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
38.0ms
(/ (* x (+ y z)) z)

simplify428.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
085458
1231434
2981376
done5002376

prune92.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.4b
(/ x (/ z (+ y z)))

rewrite19.0ms

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:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ z (+ y z))
42.0ms
(/ x (/ z (+ y z)))

simplify572.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
01871758
14231632
218541564
done50001564

prune240.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.9b
(* x (/ (+ y z) z))

rewrite26.0ms

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)
16.0ms
(* x (/ (+ y z) z))

series51.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
34.0ms
(* x (/ (+ y z) z))

simplify1.6s

Counts
74 → 74
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
097719
1235681
2890619
33473619
done5001619

prune128.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
4.6b
(/ (* x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-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:
7.0ms
(+ (/ (* x y) z) x)
3.0ms
(/ (* x y) z)

series49.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (/ (* x y) z) x)
22.0ms
(/ (* x y) z)

simplify1.1s

Counts
39 → 39
Iterations

Useful iterations: 3 (268.0ms)

IterNodesCost
067359
1182337
2671305
32990301
done5000301

prune66.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

22.2% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.1b

bsearch54.0ms

Steps
ItersRangePoint
9
-8.215748975345744e-278
-1.1336900068358743e-285
-2.4206933261639595e-283
5
-1.0271798776531952e-26
-5.1027598731529236e-27
-1.016978897081638e-26

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01729
12129
done2129

end0.0ms

sample390.0ms

Algorithm
intervals
Results
203.0ms9579×body80valid