Details

Time bar (total: 17.2s)

sample33.0ms

Algorithm
intervals
Results
16.0ms280×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
124671
114236
103677
92929
82247
71290
6565
5305
4154
363
228
114
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.3b
(/ x (* (- y z) (- t z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-cbrt-cube add-exp-log
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*l/ associate-*r/
times-frac associate-/l*
distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod insert-posit16 distribute-lft-out-- add-log-exp difference-of-squares
clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv unswap-sqr
Counts
2 → 65
Calls
2 calls:
38.0ms
(* (- y z) (- t z))
24.0ms
(/ x (* (- y z) (- t z)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (- y z) (- t z))
170.0ms
(/ x (* (- y z) (- t z)))

simplify1.3s

Counts
71 → 71
Iterations
IterNodes
done5001
21190
1314
0126

prune323.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
prod-exp cbrt-unprod
cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
pow1 unswap-sqr
associate-/r/ insert-posit16 add-log-exp
pow1/3
flip3-- div-inv flip--
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
100.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt x)
230.0ms
(cbrt x)
275.0ms
(cbrt x)
231.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify1.9s

Counts
126 → 126
Iterations
IterNodes
done5000
22222
1568
0182

prune622.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ x (- y z))
2.3b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
prod-exp associate-/r/
pow1 cbrt-undiv associate-/l* unswap-sqr
flip3-- cbrt-unprod div-inv flip--
rec-exp 1-exp insert-posit16 add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 154
Calls
3 calls:
22.0ms
(/ 1 (- t z))
19.0ms
(/ x (- y z))
80.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series293.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ 1 (- t z))
46.0ms
(/ x (- y z))
185.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify2.7s

Counts
163 → 163
Iterations
IterNodes
done5000
34633
21770
1554
0201

prune451.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ (- y z) x)
0.5b
(/ 1 (/ (- y z) x))
2.3b
(* (/ 1 (/ (- y z) x)) (/ 1 (- t z)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*l*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*r*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
associate-/r/ cbrt-unprod
insert-posit16 pow-flip inv-pow add-log-exp
clear-num frac-2neg flip3-- pow-prod-down flip--
associate-/l/
frac-times div-sub associate-*l/ associate-*r/ un-div-inv *-commutative
Counts
4 → 330
Calls
4 calls:
17.0ms
(/ 1 (- t z))
22.0ms
(/ (- y z) x)
24.0ms
(/ 1 (/ (- y z) x))
120.0ms
(* (/ 1 (/ (- y z) x)) (/ 1 (- t z)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ 1 (- t z))
30.0ms
(/ (- y z) x)
104.0ms
(/ 1 (/ (- y z) x))
332.0ms
(* (/ 1 (/ (- y z) x)) (/ 1 (- t z)))

simplify1.7s

Counts
342 → 342
Iterations
IterNodes
done5005
22760
11142
0368

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes381.0ms

Accuracy

60.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample649.0ms

Algorithm
intervals
Results
390.0ms8454×body80valid