Details

Time bar (total: 9.9s)

sample39.0ms

Algorithm
intervals
Results
19.0ms341×body80valid

simplify675.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
43759
513589
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.4b
(/ (* x (+ (- y z) 1.0)) z)

rewrite138.0ms

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:
89.0ms
(* x (+ (- y z) 1.0))
47.0ms
(/ (* x (+ (- y z) 1.0)) z)

series98.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (+ (- y z) 1.0))
52.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify745.0ms

Counts
53 → 53
Iterations

Useful iterations: done (744.0ms)

IterNodesCost
094609
1272593
21247507
done5001499

prune116.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.4b
(/ x (/ z (+ (- y z) 1.0)))

rewrite101.0ms

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:
44.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ x (/ z (+ (- y z) 1.0)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ z (+ (- y z) 1.0))
64.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.0s

Counts
145 → 145
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
02002400
15222252
225672148
done50012148

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite171.0ms

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:
74.0ms
(/ (+ (- y z) 1.0) z)
94.0ms
(* x (/ (+ (- y z) 1.0) z))

series76.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ (- y z) 1.0) z)
44.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify753.0ms

Counts
82 → 82
Iterations

Useful iterations: done (751.0ms)

IterNodesCost
01071003
1285967
21281875
done5001871

prune190.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ (- y z) 1.0) (/ 1 z))
3.6b
(* x (* (+ (- y z) 1.0) (/ 1 z)))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
17×*-un-lft-identity
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-+ div-exp pow-prod-down associate-*l/ flip-+
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative distribute-lft-out add-log-exp
1×div-inv distribute-lft-out--
Counts
2 → 70
Calls
2 calls:
142.0ms
(* (+ (- y z) 1.0) (/ 1 z))
131.0ms
(* x (* (+ (- y z) 1.0) (/ 1 z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (+ (- y z) 1.0) (/ 1 z))
50.0ms
(* x (* (+ (- y z) 1.0) (/ 1 z)))

simplify3.4s

Counts
76 → 76
Iterations

Useful iterations: 2 (500.0ms)

IterNodesCost
01321067
1382994
22826749
done5001749

prune205.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes186.0ms

Accuracy

96.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.4b

bsearch87.0ms

Steps
ItersRangePoint
6
1.4880965240445664e-08
1.5458422377508842e-07
1.1385031497556668e-07
5
-1.9599109385546637e+36
-8.724459863459369e+35
-8.845104157338096e+35

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01635
12227
done2227

end0.0ms

sample1.0s

Algorithm
intervals
Results
520.0ms10109×body80valid