Details

Time bar (total: 7.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms306×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3417
4597
5807
6907
done907

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.4b
(/ (* x (- y z)) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
12.0ms
(* x (- y z))
7.0ms
(/ (* x (- y z)) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
49.0ms
(/ (* x (- y z)) y)

simplify1.4s

Counts
55 → 55
Iterations

Useful iterations: done (1.4s)

IterNodesCost
090481
1218457
2698399
33260399
done5000398

prune95.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.0b
(/ x (/ y (- y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
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 → 139
Calls
2 calls:
8.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- y z))
47.0ms
(/ x (/ y (- y z)))

simplify745.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (240.0ms)

IterNodesCost
02182050
14731914
216431842
done50001842

prune302.0ms

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
(- 1 (/ z y))
2.2b
(* x (- 1 (/ z y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
12×*-un-lft-identity
8×associate-*r* difference-of-squares
4×pow1 add-exp-log add-cube-cbrt times-frac add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
8.0ms
(- 1 (/ z y))
31.0ms
(* x (- 1 (/ z y)))

series48.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1 (/ z y))
32.0ms
(* x (- 1 (/ z y)))

simplify2.7s

Counts
52 → 52
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
074499
1175465
2407427
31055427
44202427
done5000427

prune97.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- (/ (* x z) y)))
5.1b
(/ (* x z) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×add-exp-log add-cbrt-cube
6×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp sum-log distribute-lft-out
1×+-commutative neg-sub0 associate-+r- distribute-rgt-neg-in frac-2neg flip3-+ unsub-neg neg-log prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l*
Counts
2 → 38
Calls
2 calls:
9.0ms
(+ x (- (/ (* x z) y)))
3.0ms
(/ (* x z) y)

series52.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ x (- (/ (* x z) y)))
23.0ms
(/ (* x z) y)

simplify1.2s

Counts
44 → 44
Iterations

Useful iterations: 3 (414.0ms)

IterNodesCost
075400
1188363
2603319
32971317
done5001317

prune73.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

18.1% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.1b

bsearch53.0ms

Steps
ItersRangePoint
9
-8.007032356853768e-288
-5.821481210678613e-294
-1.907959183902117e-291
7
-2.554882834282122e-124
-1.8995398795981094e-126
-2.502695842349098e-124

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01630
12324
22924
done2924

end0.0ms

sample407.0ms

Algorithm
intervals
Results
212.0ms9613×body80valid