Details

Time bar (total: 12.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms326×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2439
31069
41879
52679
63769
78259
844889
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:
41.0ms
(* x (+ (- y z) 1.0))
19.0ms
(/ (* x (+ (- y z) 1.0)) z)

series74.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.7s

Counts
53 → 53
Iterations

Useful iterations: 3 (683.0ms)

IterNodesCost
094609
1254593
2821499
34083485
done5000485

prune102.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
4.4b
(* (/ x z) (+ 1.0 y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
7.0ms
(- (* (/ x z) (+ 1.0 y)) x)
14.0ms
(* (/ x z) (+ 1.0 y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* (/ x z) (+ 1.0 y)) x)
39.0ms
(* (/ x z) (+ 1.0 y))

simplify2.1s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0114680
1365628
21115582
34430576
done5000576

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite49.0ms

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:
17.0ms
(/ z (+ (- y z) 1.0))
21.0ms
(/ x (/ z (+ (- y z) 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ z (+ (- y z) 1.0))
41.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify754.0ms

Counts
145 → 145
Iterations

Useful iterations: done (743.0ms)

IterNodesCost
02002400
14552236
214892142
done50012122

prune248.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ 1.0 y) z)
0.0b
(- (* x (/ (+ 1.0 y) z)) x)
4.0b
(* x (/ (+ 1.0 y) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 80
Calls
3 calls:
10.0ms
(/ (+ 1.0 y) z)
6.0ms
(- (* x (/ (+ 1.0 y) z)) x)
14.0ms
(* x (/ (+ 1.0 y) z))

series105.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (+ 1.0 y) z)
38.0ms
(- (* x (/ (+ 1.0 y) z)) x)
37.0ms
(* x (/ (+ 1.0 y) z))

simplify1.3s

Counts
89 → 89
Iterations

Useful iterations: 3 (534.0ms)

IterNodesCost
0123967
1289908
2770836
32431808
done5000808

prune160.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

79.4% (0.3b remaining)

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

bsearch75.0ms

Steps
ItersRangePoint
7
2.918888137452411e+32
1.9703009114291923e+34
2.9575415110711943e+32
11
-2.0841145606098256e-59
-7.557238556785537e-80
-5.599467521960784e-62

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02237
12837
done2837

end0.0ms

sample452.0ms

Algorithm
intervals
Results
236.0ms10044×body80valid