Details

Time bar (total: 15.5s)

sample48.0ms

Algorithm
intervals
Results
25.0ms359×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
93129
8915
7384
6200
5144
488
345
225
114
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
5.2b
(/ (* y (- z x)) t)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
17.0ms
(* y (- z x))
25.0ms
(/ (* y (- z x)) t)

series109.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (- z x))
61.0ms
(/ (* y (- z x)) t)

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done5001
2959
1250
094

prune371.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
7.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
82.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series971.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(cbrt t)
287.0ms
(cbrt t)
301.0ms
(cbrt t)
130.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify2.1s

Counts
116 → 116
Iterations
IterNodes
done5000
23510
1516
0161

prune618.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.5b
(/ 1 (/ t (* y (- z x))))
5.2b
(/ t (* y (- z x)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- div-inv flip-- associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in
1×pow-prod-down *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 113
Calls
3 calls:
16.0ms
(* y (- z x))
26.0ms
(/ 1 (/ t (* y (- z x))))
24.0ms
(/ t (* y (- z x)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* y (- z x))
81.0ms
(/ 1 (/ t (* y (- z x))))
55.0ms
(/ t (* y (- z x)))

simplify1.4s

Counts
122 → 122
Iterations
IterNodes
done5000
22230
1430
0176

prune664.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (/ t y) (- z x)))
9.4b
(/ (/ t y) (- z x))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
458×add-sqr-sqrt *-un-lft-identity
326×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
28×add-exp-log
18×div-exp
16×add-cbrt-cube associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip--
3×pow1 rec-exp 1-exp
2×clear-num frac-2neg add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
2 → 412
Calls
2 calls:
42.0ms
(/ 1 (/ (/ t y) (- z x)))
29.0ms
(/ (/ t y) (- z x))

series149.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ 1 (/ (/ t y) (- z x)))
73.0ms
(/ (/ t y) (- z x))

simplify1.6s

Counts
418 → 418
Iterations
IterNodes
done5000
11603
0556

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes449.0ms

Accuracy

50.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done27
127
019

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s10632×body80valid