Details

Time bar (total: 18.5s)

sample30.0ms

Algorithm
intervals
Results
14.0ms310×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
122164
242164
399164
4240164
5570164
6983164
71629164
82925164
done5002164

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
12.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
73.0ms
(* x (+ (- y z) 1.0))
49.0ms
(/ (* x (+ (- y z) 1.0)) z)

series94.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ (- y z) 1.0))
59.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.5s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
09411239
126610453
289410053
343909893
done50019893

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite119.0ms

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-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 139
Calls
2 calls:
46.0ms
(/ z (+ (- y z) 1.0))
66.0ms
(/ x (/ z (+ (- y z) 1.0)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ z (+ (- y z) 1.0))
54.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.9s

Counts
145 → 145
Iterations

Useful iterations: done (1.9s)

IterNodesCost
020052041
151247042
2176146151
done500145868

prune650.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.7b
(* x (/ (+ (- y z) 1.0) z))

rewrite194.0ms

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-cbrt-cube add-exp-log
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative associate-+l- flip-+
Counts
2 → 76
Calls
2 calls:
73.0ms
(/ (+ (- y z) 1.0) z)
115.0ms
(* x (/ (+ (- y z) 1.0) z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (+ (- y z) 1.0) z)
64.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify3.6s

Counts
82 → 82
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
010719249
128118240
292517714
3427217314
done500017314

prune381.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ prod-exp associate--l+ associate-*r/ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv flip-- distribute-lft-out
Counts
2 → 53
Calls
2 calls:
24.0ms
(- (* (/ x z) (+ 1.0 y)) x)
31.0ms
(* (/ x z) (+ 1.0 y))

series140.0ms

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

simplify1.6s

Counts
59 → 59
Iterations

Useful iterations: 2 (483.0ms)

IterNodesCost
011413758
138012293
2129911892
done500011892

prune303.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes272.0ms

Accuracy

83.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch108.0ms

Steps
ItersRangePoint
7
3.943353389992465e-166
1.3292804886013248e-164
1.8822854723936603e-165
7
-4.035047192016138e+56
-2.511264200079219e+54
-5.054187047083082e+54

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
023786
129786
done29786

end0.0ms

sample978.0ms

Algorithm
intervals
Results
539.0ms10135×body80valid