Details

Time bar (total: 29.5s)

sample56.0ms

Algorithm
intervals
Results
25.0ms279×body80valid

simplify647.0ms

Counts
1 → 1
Iterations
IterNodes
done138
9138
8137
7128
6115
590
467
346
227
114
08

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize56.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.6b
(/ (* x (- y z)) (- t z))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 57
Calls
2 calls:
66.0ms
(* x (- y z))
65.0ms
(/ (* x (- y z)) (- t z))

series227.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* x (- y z))
160.0ms
(/ (* x (- y z)) (- t z))

simplify5.7s

Counts
63 → 63
Iterations
IterNodes
done5033
33698
2843
1282
0107

prune727.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 2 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 104
Calls
2 calls:
65.0ms
(/ (- y z) (- t z))
89.0ms
(* x (/ (- y z) (- t z)))

series217.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ (- y z) (- t z))
123.0ms
(* x (/ (- y z) (- t z)))

simplify6.7s

Counts
110 → 110
Iterations
IterNodes
done5001
34766
21143
1370
0140

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (cbrt x) (/ (- y z) (- t z)))
1.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*r*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
9×pow-prod-down
7×associate-*l*
4×insert-posit16 add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-*r/
2×pow1/3 associate-/r/ *-commutative
1×flip3-- div-inv flip--
Counts
4 → 108
Calls
4 calls:
3.0ms
(cbrt x)
4.0ms
(cbrt x)
131.0ms
(* (cbrt x) (/ (- y z) (- t z)))
185.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt x)
265.0ms
(cbrt x)
343.0ms
(* (cbrt x) (/ (- y z) (- t z)))
153.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))

simplify3.6s

Counts
120 → 120
Iterations
IterNodes
done5000
21434
1416
0152

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize85.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.0b
(/ 1 (- t z))
12.7b
(* (* x (- y z)) (/ 1 (- t z)))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×associate-/r* flip3-- flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp insert-posit16 associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
1×clear-num frac-2neg un-div-inv pow-flip inv-pow unswap-sqr
Counts
3 → 120
Calls
3 calls:
64.0ms
(* x (- y z))
34.0ms
(/ 1 (- t z))
148.0ms
(* (* x (- y z)) (/ 1 (- t z)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* x (- y z))
59.0ms
(/ 1 (- t z))
129.0ms
(* (* x (- y z)) (/ 1 (- t z)))

simplify3.6s

Counts
129 → 129
Iterations
IterNodes
done5001
21353
1444
0165

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes775.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample1.3s

Algorithm
intervals
Results
583.0ms8678×body80valid