Details

Time bar (total: 14.2s)

sample49.0ms

Algorithm
intervals
Results
23.0ms352×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
81998
7830
6571
5421
4285
3178
278
127
09

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
25.0ms
(* (* z z) (+ z 1.0))
34.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(* (* z z) (+ z 1.0))
106.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.7s

Counts
61 → 61
Iterations
IterNodes
done5000
23636
1400
0116

prune288.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* (/ y z) (/ x z)) (+ z 1.0))
3.6b
(* (/ y z) (/ x z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
30×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
18×add-cube-cbrt
13×cbrt-undiv div-exp associate-*r* associate-*l*
8×prod-exp cbrt-unprod
4×pow1 associate-/r* unswap-sqr
3×div-inv associate-/l/
2×expm1-log1p-u frac-times associate-*l/ associate-*r/ associate-/r/ log1p-expm1-u distribute-lft-out add-log-exp
1×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ associate-/l*
Counts
2 → 88
Calls
2 calls:
18.0ms
(/ (* (/ y z) (/ x z)) (+ z 1.0))
18.0ms
(* (/ y z) (/ x z))

series97.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (* (/ y z) (/ x z)) (+ z 1.0))
40.0ms
(* (/ y z) (/ x z))

simplify2.3s

Counts
94 → 94
Iterations
IterNodes
done5000
23515
1547
0177

prune447.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ (* x (/ y z)) z) (+ z 1.0))
1.3b
(/ (* x (/ y z)) z)
4.9b
(* x (/ y z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
47×*-un-lft-identity
36×add-sqr-sqrt
31×add-cbrt-cube add-exp-log add-cube-cbrt
13×cbrt-undiv div-exp associate-*r*
8×div-inv distribute-lft-out associate-/l*
7×associate-/r*
6×prod-exp cbrt-unprod
5×pow1
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/r/ unswap-sqr associate-/l/
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
24.0ms
(/ (/ (* x (/ y z)) z) (+ z 1.0))
10.0ms
(/ (* x (/ y z)) z)
11.0ms
(* x (/ y z))

series145.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (/ (* x (/ y z)) z) (+ z 1.0))
34.0ms
(/ (* x (/ y z)) z)
22.0ms
(* x (/ y z))

simplify1.4s

Counts
131 → 131
Iterations
IterNodes
done5000
23180
1570
0205

prune661.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ x z) (cbrt (/ y z)))
12.9b
(cbrt (/ y z))
12.9b
(cbrt (/ y z))
12.9b
(cbrt (/ y z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×cbrt-prod
50×times-frac
40×*-un-lft-identity add-cube-cbrt
16×associate-*r*
13×associate-*l*
9×add-exp-log
7×add-cbrt-cube
6×pow1 unswap-sqr
5×cbrt-div div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×frac-times cbrt-undiv div-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 125
Calls
4 calls:
24.0ms
(* (/ x z) (cbrt (/ y z)))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series400.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (/ x z) (cbrt (/ y z)))
94.0ms
(cbrt (/ y z))
95.0ms
(cbrt (/ y z))
99.0ms
(cbrt (/ y z))

simplify809.0ms

Counts
137 → 137
Iterations
IterNodes
done5000
21358
1358
0169

prune913.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes277.0ms

Accuracy

11.1% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.0b

bsearch170.0ms

Steps
ItersRangePoint
11
2.087151496483663e-52
4.8086663404808e-33
1.0001789514997775e-36
9
-9.347561316208877e+30
-7.706925888451307e+24
-5.805544497043376e+25

simplify5.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample1.2s

Algorithm
intervals
Results
709.0ms10881×body80valid