Details

Time bar (total: 12.8s)

sample19.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
41949
52919
63859
77959
831279
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

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:
72.0ms
(* x (+ (- y z) 1.0))
39.0ms
(/ (* x (+ (- y z) 1.0)) z)

series78.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (- y z) 1.0))
42.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.1s

Counts
53 → 53
Iterations

Useful iterations: 3 (956.0ms)

IterNodesCost
094609
1254593
2882499
34763485
done5002485

prune94.0ms

Pruning

5 alts after pruning (4 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)
2.3b
(* (/ x z) (+ 1.0 y))

rewrite44.0ms

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:
15.0ms
(- (* (/ x z) (+ 1.0 y)) x)
28.0ms
(* (/ 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))

simplify2.4s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0114680
1368628
21158582
34795576
done5000576

prune122.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

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) (+ 1.0 y)))

rewrite67.0ms

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 distribute-lft-in flip3-+ flip-+ add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
61.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ 1.0 y)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt x)
172.0ms
(cbrt x)
182.0ms
(cbrt x)
68.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (+ 1.0 y)))

simplify1.0s

Counts
102 → 102
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01641568
14661354
22007897
done5001694

prune176.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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:
34.0ms
(/ z (+ (- y z) 1.0))
42.0ms
(/ x (/ z (+ (- y z) 1.0)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ z (+ (- y z) 1.0))
45.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify797.0ms

Counts
145 → 145
Iterations

Useful iterations: done (792.0ms)

IterNodesCost
02002400
14412236
214792142
done50012116

prune233.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

19% (1.1b remaining)

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

bsearch78.0ms

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

sample722.0ms

Algorithm
intervals
Results
445.0ms10151×body80valid