Details

Time bar (total: 13.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2469
31199
42289
53589
65079
710089
837839
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite131.0ms

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 expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 51
Calls
2 calls:
82.0ms
(* x (+ (- y z) 1.0))
47.0ms
(/ (* x (+ (- y z) 1.0)) z)

series91.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (+ (- y z) 1.0))
52.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.7s

Counts
57 → 57
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
098645
1262625
2923531
34857520
done5000520

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
2.3b
(* (/ x z) (+ y 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 61
Calls
2 calls:
18.0ms
(- (* (/ x z) (+ y 1.0)) x)
33.0ms
(* (/ x z) (+ y 1.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* (/ x z) (+ y 1.0)) x)
46.0ms
(* (/ x z) (+ y 1.0))

simplify1.2s

Counts
67 → 67
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0133793
1411709
21290654
done5000648

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ y 1.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
9×pow1 cbrt-undiv cbrt-prod add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity associate-*r/
7×associate-*l*
6×1-exp
4×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ flip-+ log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
68.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ y 1.0)))

series680.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt x)
202.0ms
(cbrt x)
201.0ms
(cbrt x)
80.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ y 1.0)))

simplify1.2s

Counts
110 → 110
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01681620
14731400
22058932
done5001726

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
41.0ms
(/ z (+ (- y z) 1.0))
45.0ms
(/ x (/ z (+ (- y z) 1.0)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ z (+ (- y z) 1.0))
55.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify925.0ms

Counts
149 → 149
Iterations

Useful iterations: done (920.0ms)

IterNodesCost
02042436
14492269
215122172
done50012149

prune315.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

19% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.4b

bsearch93.0ms

Steps
ItersRangePoint
11
2.0083532053071318e-265
7.075969712997807e-243
5.619265335103205e-243
9
-3.407896245263659e+202
-2.605354099613808e+196
-2.7167413532135125e+196

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02339
12939
done2939

end0.0ms

sample544.0ms

Algorithm
intervals
Results
250.0ms10151×body80valid