Details

Time bar (total: 37.7s)

sample29.0ms

Algorithm
intervals
Results
13.0ms318×body80valid

simplify9.0s

Counts
1 → 1
Iterations
IterNodes
done5002
124305
112100
101016
9473
8226
7122
686
573
453
337
220
111
06

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize48.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.3b
(/ (* x (- y z)) y)

rewrite76.0ms

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:
41.0ms
(* x (- y z))
32.0ms
(/ (* x (- y z)) y)

series482.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* x (- y z))
416.0ms
(/ (* x (- y z)) y)

simplify3.9s

Counts
55 → 55
Iterations
IterNodes
done5017
33426
2702
1230
090

prune475.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.1b
(/ x (/ y (- y z)))

rewrite104.0ms

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:
42.0ms
(/ y (- y z))
50.0ms
(/ x (/ y (- y z)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ y (- y z))
91.0ms
(/ x (/ y (- y z)))

simplify4.0s

Counts
145 → 145
Iterations
IterNodes
done5000
22302
1554
0218

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
2.1b
(/ x (* y (/ 1 (- y z))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip--
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 112
Calls
3 calls:
25.0ms
(/ 1 (- y z))
68.0ms
(* y (/ 1 (- y z)))
31.0ms
(/ x (* y (/ 1 (- y z))))

series253.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ 1 (- y z))
79.0ms
(* y (/ 1 (- y z)))
98.0ms
(/ x (* y (/ 1 (- y z))))

simplify5.4s

Counts
121 → 121
Iterations
IterNodes
done5001
21236
1357
0147

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.5b
(* x (/ (- y z) y))

rewrite103.0ms

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:
32.0ms
(/ (- y z) y)
64.0ms
(* x (/ (- y z) y))

series170.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- y z) y)
104.0ms
(* x (/ (- y z) y))

simplify8.3s

Counts
82 → 82
Iterations
IterNodes
done5011
34000
2903
1276
0111

prune628.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes357.0ms

Accuracy

-0.3% (2.9b remaining)

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

bsearch153.0ms

Steps
ItersRangePoint
11
5.807412798230273e-148
1.0860601696953408e-122
3.555941013430806e-139
7
-1.8448652203635703e-67
-2.2514655215282913e-69
-9.52160761384595e-68

simplify6.0ms

Iterations
IterNodes
done23
123
016

end0.0ms

sample1.5s

Algorithm
intervals
Results
702.0ms9617×body80valid