Details

Time bar (total: 7.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms340×body80valid

simplify60.0ms

Counts
1 → 1
Iterations
IterNodes
done124
6124
5122
498
367
232
112
06

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ add-cube-cbrt
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
28.0ms
(* (* x y) (- 1.0 y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (* x y) (- 1.0 y))

simplify822.0ms

Counts
29 → 29
Iterations
IterNodes
done5000
21142
1175
060

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
2.9b
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div associate-*r/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×pow1 add-exp-log
11×add-cbrt-cube
flip3-- flip--
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
frac-times add-log-exp
pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
associate-*l/
associate-*r* *-commutative
Counts
4 → 74
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
124.0ms
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (- 1.0 y))
119.0ms
(cbrt (- 1.0 y))
529.0ms
(cbrt (- 1.0 y))
359.0ms
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

simplify845.0ms

Counts
86 → 86
Iterations
IterNodes
done5000
21650
1427
0169

prune425.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.0b
(* x (* y (- 1.0 y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
*-un-lft-identity
sub-neg associate-*r* associate-*l* associate-*r/
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
24.0ms
(* y (- 1.0 y))
25.0ms
(* x (* y (- 1.0 y)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(* y (- 1.0 y))
55.0ms
(* x (* y (- 1.0 y)))

simplify473.0ms

Counts
60 → 60
Iterations
IterNodes
done5000
2951
1220
084

prune248.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* (* y x) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
0.1b
(* (* y x) (sqrt (- 1.0 y)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube associate-*r* add-exp-log
14×sqrt-div
10×add-sqr-sqrt *-un-lft-identity associate-*r/ sqrt-prod
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
add-cube-cbrt
frac-times
associate-*l* associate-*l/ *-commutative distribute-lft-out-- add-log-exp difference-of-squares
Counts
2 → 59
Calls
2 calls:
129.0ms
(* (* (* y x) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
30.0ms
(* (* y x) (sqrt (- 1.0 y)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (* (* y x) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
133.0ms
(* (* y x) (sqrt (- 1.0 y)))

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5002
22296
1357
0126

prune211.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample791.0ms

Algorithm
intervals
Results
366.0ms10628×body80valid