Details

Time bar (total: 13.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify17.0ms

Counts
1 → 1
Iterations
IterNodes
done16
416
315
212
18
05

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize12.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ (* x y) z)

rewrite16.0ms

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:
15.0ms
(/ (* x y) z)

series41.0ms

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

simplify755.0ms

Counts
26 → 26
Iterations
IterNodes
done5000
2627
1120
050

prune123.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
74.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
345.0ms
(cbrt z)
278.0ms
(cbrt z)
331.0ms
(cbrt z)
94.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.8s

Counts
112 → 112
Iterations
IterNodes
done5000
23103
1455
0144

prune666.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
1.2b
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
3.2b
(* (/ x (cbrt z)) (/ y (cbrt z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
75×add-sqr-sqrt
66×times-frac
45×*-un-lft-identity add-cube-cbrt
44×associate-*l*
40×add-cbrt-cube prod-exp
39×cbrt-prod
30×div-exp
23×associate-*r*
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*r/
5×rec-exp 1-exp
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 173
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
80.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
41.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

series783.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt z)
227.0ms
(cbrt z)
59.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
242.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

simplify977.0ms

Counts
185 → 185
Iterations
IterNodes
done5000
1799
0245

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
1.2b
(* (/ 1 (cbrt z)) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
688×add-exp-log
379×prod-exp
252×div-exp
161×add-cbrt-cube
128×cbrt-unprod
82×cbrt-undiv
76×1-exp
29×associate-*l*
26×rec-exp
22×frac-times associate-*r/
21×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
18×pow1
15×cbrt-prod
10×associate-*l/
9×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*r* *-commutative div-inv
Counts
4 → 280
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
62.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
278.0ms
(* (/ 1 (cbrt z)) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))

series963.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt x)
329.0ms
(cbrt x)
253.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
50.0ms
(* (/ 1 (cbrt z)) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))

simplify2.2s

Counts
292 → 292
Iterations
IterNodes
done5001
11467
0368

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes514.0ms

Accuracy

87.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.0b

bsearch2.0ms

simplify10.0ms

Iterations
IterNodes
done32
132
024

end0.0ms

sample632.0ms

Algorithm
intervals
Results
326.0ms9638×body80valid