Details

Time bar (total: 8.2s)

sample36.0ms

Algorithm
intervals
Results
17.0ms324×body80valid

simplify750.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
43759
513589
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.7b
(/ (* x (+ (- y z) 1.0)) z)

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
124.0ms
(* x (+ (- y z) 1.0))
68.0ms
(/ (* x (+ (- y z) 1.0)) z)

series95.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ (- y z) 1.0))
57.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify734.0ms

Counts
53 → 53
Iterations

Useful iterations: done (732.0ms)

IterNodesCost
094609
1272593
21247507
done5001499

prune241.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.7b
(/ x (/ z (+ (- y z) 1.0)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×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 → 139
Calls
2 calls:
38.0ms
(/ z (+ (- y z) 1.0))
64.0ms
(/ x (/ z (+ (- y z) 1.0)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ z (+ (- y z) 1.0))
47.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.2s

Counts
145 → 145
Iterations

Useful iterations: 2 (362.0ms)

IterNodesCost
02002400
15222252
225672148
done50012148

prune519.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
2.9b
(* x (/ (+ (- y z) 1.0) z))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
89.0ms
(/ (+ (- y z) 1.0) z)
121.0ms
(* x (/ (+ (- y z) 1.0) z))

series89.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ (- y z) 1.0) z)
52.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify864.0ms

Counts
82 → 82
Iterations

Useful iterations: done (862.0ms)

IterNodesCost
01071003
1285967
21281875
done5001871

prune209.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

9.1b
(* (/ x z) (+ (- y z) 1.0))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp
Counts
1 → 40
Calls
1 calls:
91.0ms
(* (/ x z) (+ (- y z) 1.0))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify847.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
094557
1346546
21613490
done5001490

prune166.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes281.0ms

Accuracy

93.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch118.0ms

Steps
ItersRangePoint
8
4.7121338597073946e+17
2.0110076054247779e+21
5.724342807205025e+18
9
-1.8932751032018817e-75
-9.154415681864661e-82
-1.5083267701132725e-75

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01835
12135
done2135

end0.0ms

sample1.2s

Algorithm
intervals
Results
745.0ms10089×body80valid