Details

Time bar (total: 14.1s)

sample43.0ms

Algorithm
intervals
Results
19.0ms331×body80valid

simplify953.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
43759
513589
done50019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
12.8b
(/ (* 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)

series120.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (+ (- y z) 1.0))
68.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.1s

Counts
53 → 53
Iterations

Useful iterations: done (1.1s)

IterNodesCost
094609
1272593
21247507
done5001499

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite157.0ms

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:
68.0ms
(/ z (+ (- y z) 1.0))
75.0ms
(/ x (/ z (+ (- y z) 1.0)))

series166.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ z (+ (- y z) 1.0))
84.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: 2 (450.0ms)

IterNodesCost
02002400
15222252
225672148
done50012148

prune677.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

7.8b
(* (/ x z) (+ (- y z) 1.0))

rewrite146.0ms

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:
141.0ms
(* (/ x z) (+ (- y z) 1.0))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify1.3s

Counts
43 → 43
Iterations

Useful iterations: 2 (256.0ms)

IterNodesCost
094557
1346546
21613490
done5001490

prune261.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
12.9b
(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×*-un-lft-identity add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative distribute-lft-out add-log-exp
1×distribute-rgt-in distribute-lft-in un-div-inv div-inv distribute-lft-out-- unswap-sqr
Counts
2 → 66
Calls
2 calls:
150.0ms
(* x (+ (- y z) 1.0))
201.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

series140.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* x (+ (- y z) 1.0))
76.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify4.0s

Counts
72 → 72
Iterations

Useful iterations: done (3.9s)

IterNodesCost
0132974
1421899
22661724
done5002720

prune379.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes370.0ms

Accuracy

87.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.3b

bsearch157.0ms

Steps
ItersRangePoint
9
2.30266622583855e-133
6.959319054786122e-126
6.815802930557607e-126
9
-15747956840391.21
-44869037.468994394
-395330988786.38336

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01635
12127
done2127

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s10130×body80valid