Details

Time bar (total: 19.2s)

sample60.0ms

Algorithm
intervals
Results
41.0ms311×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
62939
5768
4260
378
238
116
08

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (/ x z) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
19.0ms
(* (/ x z) y)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (/ x z) y)

simplify1.9s

Counts
37 → 37
Iterations
IterNodes
43188
31097
2396
1156
069

prune357.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) y))
2.7b
(* (/ (cbrt x) z) y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
38.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) y))
9.0ms
(* (/ (cbrt x) z) y)

series887.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt x)
310.0ms
(cbrt x)
95.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) y))
195.0ms
(* (/ (cbrt x) z) y)

simplify3.0s

Counts
129 → 129
Iterations
IterNodes
35015
21304
1486
0172

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
12.0ms
(/ (* x y) z)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (* x y) z)

simplify5.3s

Counts
26 → 26
Iterations
IterNodes
46214
31487
2366
1113
050

prune223.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.7b
(/ x (/ z y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
5.0ms
(/ x (/ z y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ x (/ z y))

simplify978.0ms

Counts
75 → 75
Iterations
IterNodes
33183
21065
1363
0152

prune562.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes436.0ms

Accuracy

79.1% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 6.1b

bsearch3.0ms

simplify7.0ms

Iterations
IterNodes
224
124
021

end0.0ms

sample1.3s

Algorithm
intervals
Results
955.0ms9571×body80valid