Details

Time bar (total: 7.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms299×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4657
5917
62197
75797
816347
948567
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.1b
(/ (* x (- y z)) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
21.0ms
(* x (- y z))
21.0ms
(/ (* x (- y z)) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
51.0ms
(/ (* x (- y z)) y)

simplify720.0ms

Counts
55 → 55
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
090481
1236457
2976407
done5000399

prune107.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.6b
(/ x (/ y (- y z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
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:
13.0ms
(/ y (- y z))
23.0ms
(/ x (/ y (- y z)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ y (- y z))
58.0ms
(/ x (/ y (- y z)))

simplify1.0s

Counts
145 → 145
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02182050
15601936
228181850
done50011842

prune334.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.0b
(* x (/ (- y z) y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
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×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
19.0ms
(/ (- y z) y)
27.0ms
(* x (/ (- y z) y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- y z) y)
50.0ms
(* x (/ (- y z) y))

simplify706.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (177.0ms)

IterNodesCost
0111813
1282777
21271714
done5001714

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (* x z) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
13.0ms
(/ (* x z) y)

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(/ (* x z) y)

simplify933.0ms

Counts
24 → 24
Iterations

Useful iterations: done (932.0ms)

IterNodesCost
048186
1119179
2627155
done5000149

prune48.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

10.8% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.9b

bsearch83.0ms

Steps
ItersRangePoint
9
9.096741835583034e-127
2.863172208602242e-119
2.3679111051945716e-120
8
6.290407473785e-285
1.077940716336667e-281
4.014228494605548e-282

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931
12431
done2431

end0.0ms

sample877.0ms

Algorithm
intervals
Results
379.0ms9569×body80valid